#polynomial functions
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tyra-altavilla · 6 months ago
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Pre-Calculus Meme with my dog
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math-journal2 · 10 months ago
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Polynomial Functions
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floralfractals · 3 months ago
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@greetings-inferiors idk how to say this without seeming stupid so ill just say it. i dont know how differentiation works anymore.
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maybeinanotherworld · 1 year ago
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the other day, i said i was tired of seeing legendre polynomials everywhere and a friend of mine said, with no explanation whatsoever, "le gender polynomials" and i just think that's the funniest thing i have ever heard
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dat-physics-gal · 6 months ago
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Explain to me dipole selection rules please I beg
Okay, so for a transition between energy eigenstates, there needs to be an exchange of a photon with the correct energy. I'm assuming you know that.
Since photons are waves of the electromagnetic field, they impose an electric moment on charged particles, which in a vast majority of cases can be modeled as a simple dipole moment.
Now here's where the quantum mechanics starts: The dipole moment is expressed as a linear operator, which when applied to the wave function of a particular state gives you back the eigenvalue for the dipole moment of that state. However, since we want to describe the transition between states, and the operator only applies to the ket of the wave function, the bra and the ket which it is nestled in between are of the different states, aka the starting and the final electron state.
The operator applies to the starting state ket, which can then be completed on the left with the final state bra, and then integrated over to obtain the transition dipole moment integral.
This integral will tell you the expectation value for the transition. For the selection rules, you don't actually have to precisely calculate this integral, you just have to find out whether or not it is zero, because if it is, that means you have an impossible transition on your hands.
Depending on your representation, the dipole operator as well as the wave functions will look different, as will the space you integrate over.
So first, find which representation (spatial, spherical, momentum space, etc.) you are working with, how the dipole operator looks for that representation, and then pick the two states you want to see if a dipole transition exists between them.
The tricky part is usually to get the wave function representation right, and then to leverage the symmetries of that function to determine if the value of the integral is zero or not. The representation that i find most common for tasks like this is this one, which separates the wave function into a radial and two angular parts. It is also already conveniently expressed in terms of 3 quantum numbers, that being the main quantum number n, the orbital angular momentum number l, and the magnetic quantum number m.
I am afraid you'll have to learn the quirks and symmetries of the generalized Laguerre polynomials as well as the spherical harmonics, in order to make statements about the transition dipole moment integral. However, once you get a feel for their symmetries and remember in what special cases integrals vanish (like integrating an odd function over a symmetric interval, etc.) you will be able to derive the selection rules.
I know this wasn't a simple and easy answer, but, well, this is quantum mechanics, to be fair. Hope that helped anyway.
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itsgerges · 6 months ago
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Best Regards
Does The Physicist Vision Contradict The Nature System? 
Please read
The Gravitational Waves Reflection Analysis
or
or
or
I study the solar system Geometry since long years- and- I have found the physicist and astronomer can't understand the solar system designer vision– in fact their vision contradict the designer vision- let's prove that in following  
The Physicist Vision
The physicist supposes that there's (a unit of building)- by that- the physicist sees the mass (for example) as wall and this wall is consisted of bricks (small similar units) and for that the physicist searched for this (unit) because it's the (unit) by which the wall is building (the mass is building)– this is the physicist thinking direction- he believed there's a small unit by which the great building is built
For that the physicist searched and found the particle and then the particle is divided into Molecules then the Molecule is divided into atoms and the atom is divided into nucleus and electron moves around and the nucleus is divided into proton and Neutron- and the proton is divided into quarks …etc
The physicist searches for the building unit- the unit by which the building is built – or the unit by which the mass is built – for that the physicist divides (any thing) to see its contents till reach to the unit which can be used as the building unit. 
The Designer Vision
The designer aims to create integration- as the marriage – male and female- the relationship will cause to give birth for a child
INTEGRATION this is the word inside the designer Mind
No building unit- the marriage answers- because in marriage both (male and female) are required and no one of them better than the other – both work together and give equal effects on the same one process and give together one result- I explain the idea by the marriage because it's easy to understand- I want to put the word (Integration) as the basic concept in the designer mind.
And
I want to explain how the physicist causes fatal error for the research method
While the physicist divides the elements one after one (from matter to particle to molecule to atom to proton to quarks …etc) this division from out into inner till reach to very small unit which he considered the building unit – that causes to destroy the geometrical design of the integration process
Let's return to the marriage- the marriage requires two players (male and female)- they have different bodies and the process give birth for children- Suppose we remove one player what would happen? (where can we find a woman pregnant by herself?)
I want to say- the division from (matter to particle to molecule to atom to proton to quarks …etc) destroys the general geometrical design which uses the integration process- let's give other examples
Example No. (1)   
Einstein told us (He can't find slightest meaning for the word SPACE) by that he can't define (what's the space) and also he found the space has no mechanical features because no definition causes these features – this is the physicist vision - Let's see the designer vision
Planet moves and its motion produces energy (1/2 mv^2) and where's the energy? the planet can't store its motion energy inside its body because this energy would raise the planet temperature and no planet temperature is raised by its motion- so- where's the planet motion energy? logically we suppose that- the energy is stored in the space in waves form- means- the planet moves and its motion energy creates waves in the space (as the fish swims in the sea and its motion creates waves in the sea water) similar to that the planet motion produces energy and this energy creates waves in the space- by that we can define the space and conclude the space nature and features- simply we conclude the space has mechanical features because the energy is stored in the space as moving waves- the gravitational waves prove the space has motion- why we can solve the question which Einstein couldn't solve? Because he supposed the planet is independent from the space- the integration concept is not known by him
Notice
The waves are produced by the planet motion energy are the gravitational waves, the paper first hypothesis proves these waves are produced by the planets motions energies and not by the gravitational field also the hypothesis proves the Sun doesn't produce a gravitational field.   
Example No. (2)   
The scientists stated (The Sun Rays Are Created By The Sun Nuclear Fusion Process)
Why?
Because they think the sun is independent from the planets and each planet is independent from the other– the harmony motion can not prove all players are created from one unified source (one energy) - the integration is not seeing here 
But
We can reach to the facts simply- because- the planet moves and produces energy (1/2 mv^2) and this energy is stored in the space in moving waves-
The simple idea tells (the energy can NOT be stored in the space forever) this stored energy must be used- here we see how the sun rays is created- clearly- the Sun Is NOT Doing nuclear fusion to produce its rays- why? because the solar system is very rich in the motion energy and massive motion energy is stored in the space logically this stored energy must be used by some method- based on that- I conclude – the sun rays are produced from this stored energy regardless the production mechanism (means even if I don't know how the sun rays is produced by this energy) I still can confirm that the sun rays is created from the planets motions energies which are stored in the solar system space as moving waves-
I wish I explain the idea clearly -I can discover the space nature and features by planet motion analysis – why? because of the integration- they do one unified job together and each player can be defined by the analysis for the other player.
Notice
My theory tells (The sun rays are created from the gravitational waves and the gravitational waves are produced by the planets motions energies) – that explains why the sun corona temperature is 5 millions Kelvin and the sun surface is 5800 Kelvin because the energy is not come from the sun body.
The Concept Problem -the problem is the eyes – the physicist eyes should see the integration while the integration is growing– let's give example to see this problem
The Earth and its moon move together and they create integrated motion- that shows unified motion by the two planets – but this integration is growing by Venus Motion effect on both planets and by that we have greater integration contains (The Earth- The Moon – Venus) – But Mars also has effect on the three planets – that shows greater integration contains the four planets and of Course Mercury has effect on all and that created greater integration contains the inner planets –
The integration is growing till contain all planets and the Sun together – why?- because it's One Unified Energy behind all players
It needs one genius can understand all these motions and their effects on each other to create one unified motion and one unified effect
The physicist needs very wide eyes can see the great integrated system and all small integrated systems inside it– (something like a great chess board which have hundreds of pieces- if the eyes can see all pieces motions and their effects)
The Concept Use Difficulty-
Why is it hard to discover the integration in the solar system?
Because the geometrical rules are not known and we need to analyze the planets data deeply to discover these rules and see the integration behind it–let's see two examples can help to explain this meaning
Example No. (I)
Why Is The Moon Orbital Apogee Radius = 406000 Km?
The moon daily displacement =88000 km and during 29.53 days (the moon day period) the displacements total be = 2.598 million km = 2π x 413600 km
 
The data tells us the moon orbital apogee radius should be 413600 km and also it tells, because the moon daily displacement (88000 km) is so long, the moon should revolve around the Earth through this apogee orbit its radius (413600 km) only and can't revolve around the Earth through any more near orbit…
Not Facts
The moon orbital apogee radius =406000 km only and the moon revolves around the Earth through near orbits and can reach to perigee radius (363000 km). 
How Can The Moon Do That?
 
The intelligent moon creates an angle (θ) between its motion direction and its orbit horizontal level by that the real displacement (L) through the orbit be less than (88000 km) because it be (L = 88000 km cos θ), as a result the total displacements be less than (2.598 million km) and that makes the moon orbital apogee radius to be decreased from 413600 km to 406000 km.
We should pay attention for the angle (θ), because this angle controls the moon motion features – where- with the angle (θ) increasing the real displacement (L) be shorter and the moon can revolve around the Earth through more near orbits – but –with the angle (θ) deceasing the real displacement (L) be longer and that pushes the moon far from the Earth to more far orbits.
The moon orbital motion Equation depends on this angle (θ) it tells θ1 = θ0 +1.7
where (θ1) = today angle and (θ0) =yesterday angle
1.7 degrees be used as the moon daily motion degrees for the equation
NOTICE
This example aims to show how to discover the geometrical rules by using the planets data-But the example doesn't provide a picture for the integration because it's a motion done by the moon only- the next example shows the integration system based on which the total solar eclipse is created
Example No. (II)
DATA
DATA NO. (i)
4900 million km     = 1.392 million km x 3475 km (The Moon Diameter)
                             = 449197 km x 10921 km (The Moon Circumference)                                             = 406000 km x 12104 km (Venus Diameter)                              
                             = 384000 km x 12756 km (The Earth Diameter)                         
                             = 363000 km x2 x 6792 km (Mars Diameter)
Notice
1.392 million km = π x 449197 km (error 1.3%)  where       
4900 million km     = Jupiter Orbital Circumference
1.392 million km    = The Sun Diameter 
449197 km            = Jupiter Circumference
406000 km            =The Earth Moon Distance For The Apogee Radius
384000 km            =The Moon Orbital Distance
363000 km            =The Moon Distance For The Perigee Radius
DATA NO. (ii)
1.392 million km /3475 km = (149.6 million km/ 373500 km) where
149.6 million km    = The Earth Orbital Distance
373500 km            = The Earth Moon Distance (At The Total Solar Eclipse) 
DATA NO. (iii)
Jupiter Venus distance               = 671 million km
Venus Orbital Circumference     = 680 million km (error 1.3%)
Jupiter Earth Distance                = 928 million km
The Earth Orbital Circumference = 940 million km (error 1.3%)
Notice – the distance 928 million km = 149.6 million km + 778.6 million km
(means the distance 928 million km is found when the two planets be on different sides from the sun)
DATA NO. (iv)
Jupiter (13.1 km/s) moves in 10921 seconds a distance 142984 km = Jupiter diameter
And
4900 million km = 449197 km (Jupiter circumference) x 10921 km
4900 million km = (13.1 km/s) x π x (10921 seconds)^2
Discussion
1- Preface
2- The Sun Diameter Definition Rule
3- The Sun Position Analysis
4- Jupiter Orbit Design Uses The Moon Circumference
5- The Sun diameter should be = 400 The Moon diameter
1- Preface
My theory tells (the sun rays are created by the gravitational waves and not by any nuclear fusion process – also- I claim- the gravitational waves are produced by the planets motions energies and not by any gravitational field moreover the sun doesn’t produce a gravitational field) –
Means, The theory tells the sun rays is created by the planets motions energies – 
Also that means, The Sun Is Created After All Planets Creation And Motion- let's see the eclipse reason data here
(The Sun Diameter / The Moon Diameter)= (The Earth Orbital Distance / The Earth Moon Distance)
The old question asked why does the diameters rate equal = the distances rate and the wrong answer was always (Pure coincidence)
The fact is that the sun is created after all planets creation and motion and that means the sun diameter is created based on the moon diameter and that tells the sun diameter depends on 2 players which are (the moon diameter) and the number (400) because
The sun diameter 1.392 million km = the moon diameter 3475 km x 400
 Here we need to know why the sun diameter is created depending on these two players
2- The Sun Diameter Definition Rule
My planet diameter equation proves the planet diameter is created as a function in its orbital distance- Can the sun diameter be created by a similar method? that necessitates the sun diameter to be a function in some distance- but – what distance? Let's see the next data 
The sun diameter 1.392 million km= 449197 km (Jupiter Circumference) x π   (1.3%)
The data shows a connection between the sun diameter and Jupiter Circumference-
Can The Sun Position In The Sky Be Defined Based On Jupiter Orbit? Let's examine that
My theory tells the sun is created by the planets motions energies and that means the sun is created after all planets creation and motion– means- while the planets were found and moving in their orbits the sun is created Later and that necessitated to define a position for the sun in the sky
I claim- the sun position is defined based on Jupiter orbit – that can explain the previous data and also the total solar eclipse data
Now – let's ask – Can the sun position in the sky be defined based on Jupiter Orbit? We try to answer this question in the next point
3- The Sun Position Analysis
The space is not static but in motion- means – all points are in motion in the solar system space and the solar system design needs to create a stationary point on which the sun will be created – the stationary point moves by zero motion approximately (in fact it moves by 1 km/s) – but how this point can be found in the space where the space is in motion and no any point is stationary in it? (the space is similar to the sea of water and no stationary point is found in the sea because every thing is in motion)
Means- the creation of the stationary point in the space needs specific procedure– let's see it
The Sun Point Creation Procedure
Before the sun creation, the planets revolved around a point in space (any point in space), the revolution motion creates 2 equal velocities on the revolution both sides - the two velocities are equal in value and opposite in direction- their total be Zero-shortly- the revolution motion creates A Stationary Point in the center of the revolution- that means- the chosen point of space was in motion before the planets revolve around it but when the planets revolve around it this point becomes stationary point and this point motion be Zero approximately (1 km/s)- please note – the point is static and has no motion and its velocity should be Zero but the mathematical calculations of this point can't use the Zero number that's why the velocity be 1 km/s the most low velocity higher than Zero-
Now let's see the data by which the planets starting their revolutions around the sun
DATA NO. (III)
Jupiter Mercury Distance           = 721 million km
Mercury Orbital Circumference = 360 million km
Jupiter Venus distance               = 671 million km
Venus Orbital Circumference     = 680 million km (error 1.3%)
Jupiter Earth Distance                = 928 million km
The Earth Orbital Circumference = 940 million km (error 1.3%) (The distance 928 million km is found when the two planets be on different sides from the sun)
THE DATA ANALYSIS
Here we suppose the sun is not created yet and this data defines the sun position before the sun creation- means- we try to define the point of space only
Let's ask -
Where's this required point around which the planets will revolve?
Venus Role
Venus Jupiter distance = 671 million km and Venus used this distance to be the orbital circumference around the required point (680 million km=Venus orbital circumference) (error 1.3%) by that the required point is defined by Venus revolution around it. 
Mercury Role
Mercury Jupiter distance = 721 million km and Mercury used (half of) this distance to be the orbital circumference around the required point (360 million km=Mercury orbital circumference)- by that the required point is defined by Venus revolution around it
The Earth Role
The Earth Jupiter distance = 928 million km and The Earth used this distance to be the orbital circumference around the required point (940 million km =The Earth orbital circumference error 1.3%) - by that the required point is defined by Venus revolution around it
We see the four planets defines their orbital circumferences based on Jupiter orbit
Please see deeply this distribution because
The designer put Venus and Mercury on the left side of the sun to define the required point for the sun from this left side and
The designer put The Earth and Its Moon on the right side of the sun to define the required point for the sun from this right side
Means- the required point is defined by four planets – two on each side- and all distances depend on Jupiter orbit and for that these planets orbital circumferences are defined based on Jupiter orbital circumference and by that the sun position is defined based on Jupiter orbit- this is very important fact- because the sun diameter will be defined based on Jupiter orbit-
Now we have answer for the question (why are the 3 planets orbital circumferences equal their distances to Jupiter?) because based on these three distances the sun position is defined- means- the sun position depends on these three planets positions to be defined and these three planets positions depended on Jupiter position and orbit  
And that caused the sun diameter to be created as a function in Jupiter orbital circumference as the data proves
Now we know the sun position is defined depending on Jupiter orbit- let's see the relationship between Jupiter orbital circumference and the moon diameter – let's review its data in following
DATA NO. (iv)
Jupiter (13.1 km/s) moves in 10921 seconds a distance 142984 km = Jupiter diameter
And
4900 million km = 449197 km (Jupiter circumference) x 10921 km
4900 million km = (13.1 km/s) x π x (10921 seconds)^2
The Earth moon circumference 10921 km is used by Jupiter motion in different units- it's hard to see the depth of this data but we conclude that the moon circumference 10921 km is produced by some geometrical reason has effect on Jupiter orbit- Means- Jupiter is the parent of the moon and the number 10921 km is belonged to Jupiter
And if we remember the data
1392000 km (The Sun Diameter) = 449197 km (Jupiter Circumference) x π   (1.3%)
The previous data shows the sun and the moon diameters are defined by Jupiter motion and orbit and that shows the two values by geometrical rules are related to each other and that causes the proportionality between them we see in the total solar eclipse data –
Notice (1)
1392000 km (the sun diameter) = 406000 km (the planets diameters total) x 3.4
The data proves the sun diameter is rated with the planets diameters total by the rate 3.4 where (3.4 degrees = Venus orbital inclination) and it's related to Pluto orbital inclination (17.2 degrees) because (sin 3.4 = 1/17.2)
Also sin (3.4 deg) x 100733 mkm = 5906 mkm (Pluto orbital distance)  
100733 mkm = The Planets Orbital Circumferences Total
This last data is important because it defines Pluto orbital distance means it defines the most far point from the sun in the solar system- means- it's the solar system boundaries- that tells the solar system general design depends on the angle (3.4 degrees) that causes this angle to be used as Venus orbital inclination and caused also to make Pluto orbital inclination as 17.2 degrees (please note the inner planets orbital inclinations total is 17.4 degrees error 1%)- that tells the proportionality of the sun diameter with the planets diameters total depends on the solar system general design.  
Notice (2)
37100 mkm (Pluto orbital circumference) - 4900 mkm (Jupiter orbital circumference) = 32200 mkm = (100733 mkm /π)
Where 100733 mkm = The Planets Orbital Circumferences Total
This data tells the solar planets orbital circumferences total depends on Jupiter and Pluto orbital circumferences- this analysis aims to prove that the solar system general design depends on Jupiter orbit- and that means- the sun position definition depends on Jupiter orbit and that causes the sun position definition depend on the solar system general design.
Notice (3)
Light (300000 km/s) moves in 335777 seconds =100733 mkm (The Planets Orbital Circumferences Total)- But -
Jupiter (13.1 km/s) x 335777 seconds = 4.37 million km (The sun circumference)
THE CONCLUSION
The Sun Position Is Defined Depends On Jupiter Orbit (CONT)
Gerges Francis Tawdrous +201022532292
Physics Department-  Physics & Mathematics  Faculty 
Peoples' Friendship university of Russia – Moscow   (2010-2013)
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nazumichi · 2 years ago
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id make a poll asking what route i should take having just found a spider in my bed (find the spider myself or go back to bed) but i’ve already made my mind up (secret third option, do nothing about the threat and do revision for math final on the floor until morning).
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k00ldino · 2 months ago
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i think spock is going to get me through my academic career
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krawdad · 3 months ago
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I would have done so much better at calculus if someone had explained to me what FM synthesis was
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thedemises · 1 year ago
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im surprised that algebra II is usually taught in 11th grade
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thedemoskratos · 1 year ago
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math-journal2 · 8 months ago
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<— Unit 22: Part 3 — Unit 23 —>
Practice Problem #2
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#3
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Page 60
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crypticss · 2 years ago
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my maths teacher told me he would see me at the graduation ceremony…. bestie my ass is not graduating after how this exam went
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lefteagleblizzard · 5 months ago
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𝔇𝔦𝔳𝔢𝔯𝔤𝔦𝔫𝔤 𝔭𝔞𝔱𝔥𝔰 Until Dawn males x male reader
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Summary: 4 smut scenarios featuring each of the men from Until Dawn. Each scenario exists in its own standalone world, completely unconnected to the others—distinct, isolated, and unforgettable.
Tags: He/Him pronouns used for the reader. Mike Munroe x male reader; Matt Taylor x male reader; Josh Washington x male reader; Chris Hartley x male reader. Set before the events of the game. All of these are separated and not connected. All of these with bottom male reader. Friends to lovers/ established relationships. Smut. Gay smut. Dom Mike Munroe. Gentle dom Matt Taylor. Dom Josh Washington. Submissive Chris Hartley. Pinning. Anal sex. Shower sex. Riding. Blowjob.
Recently reached 300 followers and i wanted to do something special <3
ℳ𝒶𝓈𝓉ℯ𝓇𝓁𝒾𝓈𝓉
Words counts: 8000 words (around 2000 for each character)
Can also be found on wattpad and ao3
ℳ𝒾𝓀ℯ ℳ𝓊𝓃𝓇ℴℯ
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Cocky and relentless. Teasing that borders on merciless, using his natural charisma to push buttons and see you squirm and blush beneath him. He doesn't stop until he's left you utterly wrecked, trembling and begging for more. He'd enjoy having full control, alternating it with whispered reassurances or moments of tenderness.
Mike Munroe sat in the chair beside you, leaning back with his signature cocky grin plastered across his face, a textbook in front of him that he hadn't opened once since arriving. He had the look of someone who didn't really care about studying, which, frankly, was true. This entire night was a ruse, a flimsy excuse to be alone with you under the pretense of needing help with an exam.
The plan had seemed solid in his head. You'd sit close, explain things to him with that focused, determined look he loved and he'd lean in, let his charm work its magic and, eventually, your studying would devolve into something much less productive.
Mike had always been good at getting what he wanted. A flash of his smile, a sly remark and most people melted. But now, as you sat at the desk flipping through pages and genuinely trying to explain a concept he couldn't care less about, Mike was starting to feel… frustrated.
"You're telling me I have to memorize all this crap by Thursday? Who the hell needs to know about… what even is this—" he glanced down at the page in front of you, squinting as if the words offended him “—polynomial functions for real life? What, am I gonna solve equations at my job interview?"
You sighed, trying to ignore his dark eyes locked onto yours instead of the textbook in front of him. "You signed up for the class, Mike. I didn't force you to take it."
"Yeah, yeah," he muttered, waving a dismissive hand. "But that's why you're here." He leaned in closer, resting his elbow on the desk and his chin in his hand, his face mere inches from yours. "You make it all make sense. You're, like, my personal genius."
Your stomach twisted at the compliment, even though you tried to brush it off. This was just Mike being Mike, wasn't it? He was like this with everyone. Charming, flirtatious, impossible to ignore. You'd seen him in action before: the way he smirked at the girls in class, the playful winks he threw at random people in the cafeteria.
It was just his thing. And yet, being on the receiving end of it made your heart race in a way that was becoming harder to ignore.
"Your 'genius' thinks you should actually start paying attention," you said, nudging the notebook closer to him. "Try solving this one."
Mike groaned dramatically, dragging the notebook toward him like it physically pained him to do so. "You're cute when you're bossy."
"Mike—“
"I'm kidding." He shot you a lopsided grin before glancing at the problem you'd written out. He picked up the pen, twirling it between his fingers as his brow furrowed in mock concentration. "Okay, so, uh… the square root here is… this, right?"
You couldn't help but laugh at how off he was, shaking your head as you leaned over to correct him. The faint scent of his cologne, woodsy with a hint of spice, hit you as you got closer and you froze for a moment, suddenly all too aware of how close you were.
Mike noticed. Of course he noticed. His grin widened and he tilted his head slightly, his eyes flicking from your face to your lips and back again.
You cleared your throat, quickly retreating to your seat. "Focus, Michael."
"I am focusing," he said, his voice warm and husky now, enough to make your pulse race and your breath catch. He leaned back in his chair and stretched his arms behind his head, his shirt riding up just enough to reveal a strip of toned stomach. He caught your eyes flicking down and smirked. "On you."
Your face burned and you buried it in the textbook, pretending to reread a section. "Don't you have an exam to pass?"
"Yeah, yeah, blah blah blah," he said, waving his hand lazily. "But it’s hard to concentrate when you're sitting there all cute and stuff."
Your heart stuttered, but you forced yourself to roll your eyes, words stuck in your throat as you kept your focus ahead.
He shifted on the chair, his eyes trailing to your lips as you read aloud from the book. God, you had no idea how good they looked, slightly pursed as you concentrated on the material. He could only think about how soft they would feel against his, how warm they'd be as they moved down his body.
His gaze darkened, drifting lower, watching the way your throat moved as you spoke. He wanted to trace his lips there, feel your pulse against his tongue. The idea made his pants feel uncomfortably tight and he shifted again, trying to will the thoughts away.
The study session continued, with you trying your best to keep things on track despite Mike's constant interruptions. He'd accidentally brush his hand against yours when reaching for a pen, his fingers lingering just a moment too long. He'd lean in close under the guise of needing help, his lips so close to your ear that his breath tickled your skin as he murmured, "Explain that one more time?"
The shift you made brought you closer, your thigh brushing against his and Mike had to work hard not to react.
"Here," you said, pointing to a diagram you'd sketched out earlier. "This is how you get everything right. Got it?"
Mike barely registered your words. He was too busy realizing how he could feel the faint heat of your body. His eyes dropped to your hands as you gestured toward the page, wondering what they'd feel like gripping his shoulders, his hips, his—
"Mike”
"Hmm?" He blinked, forcing himself to meet your gaze.
"Are you sure you're okay? You keep zoning out. You said you needed help with this, right?"
Mike sighed dramatically, flopping back on the bed. "Yeah, yeah, I need help," he muttered, though he wasn't talking about school.
As you leaned forward to grab some papers on the desk, his eyes traced the curve of your jaw, the line of your neck, the way your shirt shifted slightly to reveal just a hint of skin.
It was torture.
Sweet, delicious torture.
"Can we take a break? I feel like I'm not gonna retain any of this if I don't decompress a little."
You glanced at the clock. "We've only been at it for 20 minutes."
"Exactly!" Mike said, his grin widening. "That's, like, more than I've ever studied so far."
You rolled your eyes, doing your best at suppress the warmth rising at his warm gaze in your direction. "Let me at least finish this thing?"
"Alright, fine," he muttered, picking up the book with a theatrical sigh and flipping through it aimlessly. "Keep cracking the whip, Teach."
You smiled faintly and got up to grab another set of notes from your backpack. The second you stood, Mike's eyes trailed down the curve of your back, lingering too long on the way your jeans clung to your butt. He bit his bottom lip, running a hand through his hair as he exhaled sharply through his nose.
Enough was enough.
With a quick sigh, he stood, ego hurt and curiosity piqued. He closed the textbook on your desk with a sharp thud. His lip curled briefly at the sight of the boring equations inside, a momentary flicker of irritation at how they'd monopolized your attention. Then he turned his focus back to you.
When you turned around, annoyed at now being able to find what you were looking for, you froze.
He moved closer until your back pressed against the wall. His chest rose and fell steadily, his lips curving into a soft, almost vulnerable smile.
"Can I ask you something?" His voice was low, the teasing edge stripped away, leaving something raw and earnest.
"Uh… sure?" Your pulse quickened as his hand came up, resting lightly against the wall beside your head. His tall frame radiating heat as he leaned closer to you. His dark eyes bore into yours, not with the usual teasing glint, but with raw, unfiltered emotion that made your heart race.
"Do you like me?" he asked, his voice low and intense.
The question hit you like a punch to the chest. "What?"
"You heard me," Mike said, his tone softening, though the intensity in his gaze didn't waver. "Do you like me? Because, damn it, I can't keep this up anymore. I came here because I wanted to be with you, not to study. I just… I need to know."
You stared at him, your heart pounding so loudly you could barely think after hearing the vulnerability in his voice.
"Just tell me the truth," he murmured, his hand lifting to cup your jaw. His thumb brushed lightly over your cheek and the tenderness of the gesture made your knees weak.
Your throat tightened and you felt heat flooding your face. "Yes, Mike. I like you. A lot."
His grin returned, slow and breathtaking, as though your words were the only answer he'd ever wanted. "Yeah?" he asked, his voice dropping to a low rumble. "You don't know how long I've been waiting to hear you say that."
He closed the distance, his lips crashing against yours in a kiss that stole the air from your lungs. It was hungry, raw, as though he'd been starving for this moment. His hands found your waist, pulling you forward until you were pressed tightly against him as his tongue pushed into your mouth, exploring with urgency.
You gripped his shoulders instinctively, your fingers digging into the firm muscle as he deepened the kiss.
He pulled back just enough to whisper against your lips, his voice rough and breathless. "Fuck, I've been wanting this for so long. You have no idea."
He bent down abruptly, his arms sliding under your thighs to lift you effortlessly. You gasped, your legs wrapping around his waist. Mike's lips moved to your neck, kissing and nipping as he trailed down to your collarbone. His light stubble scratched your skin, a delicious friction that left you squirming in his hold. He sucked a mark just above your collarbone, his tongue soothing the sting before he moved up to your jaw, his breath hot against your cheek.
"You taste so fucking good," he murmured, his voice a husky growl.
His lips found yours again, the kiss deeper this time, his tongue delving into your mouth as though he couldn't get enough. His hands gripped your thighs tightly, his fingers digging into your skin as he ground his hips against you. You could feel his hardness through his jeans, pressing insistently against you and making you ache with need.
With a grunt, Mike turned and carried you to the bed, laying you down carefully before crawling on top of you. His weight pressed you into the mattress, his sturdy frame caging you in as his lips found your neck again. His hands were everywhere, exploring your body with a mix of reverence and urgency.
You moaned softly as his teeth grazed your neck, his tongue soothing the sensitive skin before his lips claimed yours again. His hands moved to the hem of your shirt, tugging it off in one swift motion before discarding his own. His bare chest pressed against yours, the heat of his skin making you gasp as his lips continued their assault on your neck.
Mike's hands moved lower, unfastening your pants with a speed that made your head spin. He slid them down along with your underwear, his eyes darkening as he took in the sight of you fully bare beneath him.
His fingers found their way between your legs, teasing you as he leaned down to kiss you again. His other hand wrapped around your length, stroking you with firm, steady movements that made your hips buck into his hand.
"You like that?" he asked, his grin wicked as he watched your reaction. "I want to hear you, baby. Don't hold back."
He worked you with expert precision, his mouth returning to your neck to suck another mark. He was relentless, his fingers slipping lower to tease your entrance, his voice low and commanding.
"Relax for me," he whispered, pressing a kiss to your temple. "I'll take care of you, I promise."
His fingers moving in and out with practiced ease as he murmured praises against your skin. His other hand continued stroking you, his thumb teasing your tip in a way that had you writhing beneath him.
"God, you're so tight," he muttered, his breath hot against your neck. "I can't wait to feel you around me."
When he finally replaced his fingers with the hot, throbbing weight of his cock, the stretch was overwhelming. You hissed, your hands gripping his shoulders as he sank into you slowly, giving you time to adjust to his size.
"Fuck," he groaned, his head falling forward to rest against yours.
Mike’s lips didn't stop their assault on your neck, alternating between wet, searing kisses and the light scrape of his teeth that left trails of fire in their wake. Each movement of his hips pressed his thick, throbbing length deeper against you, and the friction was maddening.
"Fuck," he whispered, "You feel so good. So fucking good."
His restraint snapped, his hips snapping against yours with increasing urgency. His hands gripped your hips tightly, holding you in place as he fucked you deeply, his groans mixing with your moans in the heated air.
His pace quickened, his thrusts hitting deeper as he angled his hips just right. You cried out, your nails digging into his back as pleasure overwhelmed you.
"That's it," he growled. "Let me hear you."
You couldn't hold back, your moans growing louder as he pushed you closer to the edge. His hand slipped between your bodies, stroking you in time with his thrusts.
"Come for me," he whispered, his voice strained.
His words sent you over the edge, your climax hitting you as you cried out his name. The way your body clenched around him pushed him over the edge, his thrusts growing erratic as he spilled inside you with a deep groan.
He collapsed on top of you, his body trembling as he pressed soft kisses to your neck, his arms wrapping around you as he held you close. "Worth every second," he murmured, his voice soft and full of affection.
ℳ𝒶𝓉𝓉 𝒯𝒶𝓎𝓁ℴ𝓇
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He would seek constant reassurance as he takes tentative steps. However, once he gains confidence, he becomes surprisingly assertive. He'd focus entirely on your pleasure. His athleticism would lend itself to strength and stamina, ensuring you're worshiped and cherished. He would revel in making you feel safe yet utterly overwhelmed by the raw power of his passion, glowing with pride every time he draws out a moan or gasp.
The campus was alive with the lazy hum of an afternoon sun. Matt Taylor was out on the field, his athletic frame in constant motion as he jogged the perimeter.
The way his shirt clung to him, damp and snug from exertion, only highlighted the strength in his broad shoulders and the subtle definition of his chest. It clung stubbornly to his abs, outlining the defined ridges of his stomach. Every muscle in his body seemed to work in perfect harmony as he moved.
The sweat glistening on his caramel skin only made him look more enticing.
He stopped after a lap, bending slightly to catch his breath, hands resting on his thighs. The sight was enough to steal yours.
There were moments when his head would turn, his dark, warm eyes flicking in your direction. He always seemed aware of your presence, like you were a natural part of his environment. The way you looked at him was as essential as the air he breathed.
He'd catch your gaze just for a second, his lips quivering into a smile. It was like he knew you were watching and wanted to remind you that he saw you, too.
With a deep breath, Matt straightened, one hand pushing his damp shirt away from his torso, exposing the hard lines of his stomach. Wiping the sweat from his face and neck with a calm, unhurried precision.
Matt tilted his head just slightly, as if gauging your reaction. Then, without missing a beat, he pressed his hand to his lips and blew a kiss in your direction.
Your heart stuttered, the sheer casualness of it leaving you stunned.
He turned toward the bench at the edge of the field, where his water bottle rested and took a moment to hydrate. He poured some of the cool water over his head, letting it cascade down his face and neck before trailing over his chest. The droplets caught in the sunlight, gleaming as they traced the curve of his shoulders and the hard ridges of his collarbone. His free hand dragged across his jaw, wiping the excess water away in a move that was as unintentional as it was captivating.
The others called out to him, ready to start another round of drills and he responded with an easy wave. As he jogged back to join them, he passed by where you sat.
"Hey," he said, his voice low and warm, tinged with the kind of softness he reserved for moments like this. He leaned down, resting his hands on his knees as he caught his breath. "I was trying out some new moves. Gotta know if they're, you know, impressive enough." His tone was light and teasing, but there was a flicker of vulnerability in his expression, like he genuinely cared what you thought.
"They're impressive," you admitted, your voice quieter than you intended.
His smile softened and for a moment, he looked almost shy. "Thanks," he said, straightening up and running a hand through his short, damp hair.
You watched as he jogged back to his friends, the muscles in his legs flexing with every step. He jumped right back into the game, throwing himself into it with renewed energy. He made daring plays, diving for the ball in ways that sent his friends laughing and clapping him on the back. He'd glance your way after every particularly bold move, his smile growing brighter each time he saw you watching, eager to impress you.
The dim lighting of the locker room cast soft shadows over Matt's glistening body as he leaned against the lockers, phone in hand, his voice warm and playful. His towel hung loosely around his neck and his shirt was long forgotten, leaving his torso on full display. Every inch of him radiated heat.
The room was quiet now, save for the distant echo of running water in the pipes and the soft shuffle of Matt's footsteps as he paced near the benches.
"Yeah, I'm still here," he chuckled into the phone, his deep voice carrying a hint of teasing affection as he talked with you. "No rush, though. No one else is around."
He glanced at the screen, his smile softening before he made up his mind on what to do next.
"Want to hang out? We can talk later after I'm done here, if you want?" He murmured, voice low with a sweet and earnest tone.
"Turn around," you said.
Matt froze for a moment, processing your voice now coming from behind him. He spun on his heel, his eyes widening as they landed on you standing just inside the locker room door. A surprised laugh escaped him and he hung up the call, sliding his phone into the pocket of his gym bag.
"You're here," he said, his grin growing wider. His dark eyes sparkled with a mix of excitement and shyness as he took a hesitant step forward.
"I wanted to surprise you," you replied, your voice soft but steady.
He moved closer, the heat of his body palpable even from a few feet away. The faint sheen of sweat making every curve of his muscles stand out.
"Let me—uh—just a sec," Matt stammered, rubbing the back of his neck as he closed the distance between you. He was so careful, leaning in slowly as though worried he'd overwhelm you. His lips brushed yours lightly at first, the saltiness of his sweat mingling with the sweetness of his breath.
"You don't mind the, uh…" He gestured to himself, his cheeks flushing slightly.
"Not at all," you murmured, pulling him closer.
The kiss deepened, his mouth moving against yours with a mix of gentle passion and restrained hunger. One arm looped around your waist while his big hand cradled the back of your head. His hands found your hips, his touch firm but tender.
He broke the kiss only to glance over his shoulder, his eyes scanning the empty locker room. Once satisfied you were alone, he turned back to you, his expression soft but smoldering.
"Shower's right there," he murmured, his voice low and husky. "Think we could, uh… clean up together?"
The corner of his mouth twitched in a nervous smile, but the desire in his eyes was undeniable.
You didn't answer with words, letting your lips find his again instead, this time with more urgency as he backed behind with you caged in his arms.
The shower stalls were humid and warm, steam curling in the air as Matt turned on the water, letting it cascade down his back. He stood under the stream for a moment, his head tilted back, droplets running over his shoulders and down his chest, washing away the sweat that clung to him.
He turned to you, his expression soft but filled with intent. "Come here," he whispered, holding out a hand.
You stepped into the stall, the warm spray hitting your now naked skin as his arms wrapped around you, pulling you close. His lips found yours again, deeper this time, his hands exploring your back, your sides, the curve of your hips. His touch was firm but gentle, every movement infused with the kind of care that made your chest ache.
His hands moved to your waist, lifting you slightly to press you against the cool tile wall. The contrast of temperatures sent a shiver through you, but Matt's body pressed against yours was a furnace, his heat keeping you grounded.
The water ran between you, slicking your skin as his kisses trailed down your neck, his lips warm and soft against your wet skin. His breath was hot, mouth lingering over every inch of you like he couldn't get enough.
"I want to make you feel good," he whispered, his forehead resting against yours, water dripping from his hair and into your eyes.
Hands broad and rough from years of training roamed your body with deliberate care. He started at your waist, his thumbs grazing your hips, then slid them down to cup your thighs, pulling you closer until every inch of him was flush against you.
His lips moved down the side of your neck, planting open-mouthed kisses that lingered, his tongue flicking out to taste the droplets sliding down your skin. "You feel so damn good." Matt murmured, his voice thick with need.
His teeth grazed your bottom lip before his tongue pushed into your mouth. His hands drifted lower, gripping your ass firmly as he hoisted you up, pressing you against the cold tile wall.
His hips pressed into yours and you felt the unmistakable hardness between his legs, the weight of him grinding slowly.
"Matt," you gasped, your voice catching in your throat as his lips found your collarbone, then moved lower, trailing down your chest. He paused at your nipple, his mouth closing around it, his tongue swirling as his teeth grazed just enough to make you arch into him.
The water streamed down his back as he continued his descent, his tongue and lips mapping a path across your stomach, his hands gripping your hips tightly, anchoring you. He looked up at you as he knelt, his eyes filled with a hunger that made your knees weak.
"You okay?" he asked, his voice low, almost reverent.
You nodded quickly, your breath hitching as he kissed along your thighs, his mouth hot against your damp skin. His fingers traced delicate patterns, teasing you, making you ache for more. He submits his mouth to take on your length, his tongue flicking out to taste you, slow and deliberate as he traced every vein and ridge.
The sensation of his mouth on you was almost too much. Your hands flew to his hair, your fingers tangling in the soft strands as you arched up against him.
His hands gently rested on your soft, supple ass. He circled the hole gently before pressing his finger inside up to the second knuckle. Your head tilting up as the finger went in deeper before adding in another finger.
When you were trembling beneath his touch, Matt stood again, pulling you into another searing kiss. His hands gripped the back of your thighs, lifting you easily as he aligned himself with you. The anticipation was overwhelming, his breath hot against your ear as he whispered, "Tell me if I'm too much. I don't want to hurt you."
His sweetness melted into raw passion as he slowly pushed inside, stretching you in a way that made your breath catch. The pressure was intense, the fullness almost too much, but Matt paused, his lips brushing your temple as he murmured against your skin.
"You're doing so good for me," he said, his voice strained, his restraint obvious as he let you adjust.
When you nodded, giving him the okay, he began to move. His thrusts were slow at first, measured, each one sending sparks of pleasure through your body. His hands gripped your hips tightly, holding you steady as he found a rhythm, the sound of skin against skin echoing in the small, steamy space.
"You're so tight," he groaned, his voice barely above a whisper as he buried himself deeper.
His pace quickened, his control slipping with each thrust, his eyes watching you intensively, filled with unspoken adoration and need.
Matt's hand slipped between your bodies, his fingers stroking in time with his thrusts. The dual sensations were overwhelming, your body tightening around him as you felt yourself teetering on the brink.
"Come for me. I want to feel you," Matt whispered, voice a mix of command and plea.
His words pushed you over the edge, your climax ripping through you with an intensity that left you shaking, your cries muffled against his shoulder. The way your body clenched around him sent him spiraling, his thrusts becoming erratic as he groaned your name, his release spilling inside of you hot, heavy and overwhelming.
He held you there, both of you trembling as the water continued to pour over your exhausted bodies, his breath ragged but his smile soft.
"You okay?" he asked, his voice hoarse but filled with tenderness.
You nodded, your fingers threading through his damp hair as you pulled him into a soft, lingering kiss. "More than okay."
And with that, Matt grinned affectionately before wrapping you in his arms, his warmth and love enveloping you completely.
𝒥ℴ𝓈𝒽 𝒲𝒶𝓈𝒽𝒾𝓃ℊ𝓉ℴ𝓃
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He would be almost hypnotic. His hands firm, guiding you like a puppeteer while he watches every reaction with piercing eyes. Touch that alternate between rough and tender. He'd seek absolute surrender, his lips tracing feverish paths across your skin as he demands every gasp, every shiver, until you're completely undone.
The basement was dimly lit, a warm glow from the single overhead bulb casting shadows over the eclectic collection of items Josh's family had accumulated over the years. Shelves lined the walls, crammed with dusty film reels, old cameras and props from Josh's endless experiments in cinematography. You trailed behind him as he rifled through a box, muttering under his breath about where he'd left the camera he needed.
"You've got enough stuff down here to make a whole trilogy,” you spoke amazed, picking up a fake severed hand from one of the nearby tables. "Let me guess, this was for some horror project?"
Josh turned, his smirk lighting up his face even in the shadows. "Oh, that? Nah, that was just Halloween last year. Dad thought it'd be funny to have it sticking out of the candy bowl." He rummaged through a nearby crate, pulling out a few props from old projects like the fake blood packets and a weathered script.
You laughed, shaking your head as you placed it back on the table. Josh returned to rummaging through his box of supplies and your attention wandered to a nearby shelf where a cracked clown mask hung ominously. This place is like a treasure trove, a mix of fascinating and unsettling, much like Josh himself. His mind always worked a mile a minute, brimming with ideas that danced somewhere between genius and chaos.
"Found it!" Josh declared, holding up a vintage film camera triumphantly. "This baby's gonna make my project an A+ for sure."
"Finally," you teased, crossing your arms. "I thought we'd be down here forever."
Josh's grin widened, that familiar mischievous glint lighting up his eyes. "Oh, don't tell me you're scared of basements."
"I'm not scared of this place," you replied, rolling your eyes while turning around to see again a cool looking mask that you wanted to try out.
"No?" he asked, his tone mock-innocent as he casually reached for something behind him.
When you turned around to face your boyfriend again, your eyes were met with a mask that resembles a skull-like style with a pair of thin black eyebrows, a cracked nose and rotten styled teeth. The dim light casting eerie shadows across the distorted features.
He lunged at you with a guttural growl, arms outstretched. Startled, you yelped involuntarily, stumbling back a step as he grabbed you with exaggerated ferocity. He gripped tightly your waist and hoisted you effortlessly onto a nearby table, pinning you in place.
"Gotcha!" he exclaimed, pulling the mask off to reveal his gleeful grin.
"You absolute jerk!" you gasped, swatting at his chest with your right hand in frustration.
Josh laughed, his deep, warm chuckle echoing through the basement. "You should've seen your face! Priceless."
"You're the worst," you muttered, though the heat in your cheeks betrayed how flustered you were.
"Oh, come on," he said, leaning closer. His hands rested on either side of your hips, trapping you. "You're even more handsome when you're scared. Seriously, it's not fair."
He leaned closer, his lips brushing your ear as he murmured, "Let me make it up to you for my genius prank." He concluded the line with a kiss to your neck, his lips warm and insistent against your skin.
"Trust me," he whispered, his voice low and rough, his hands sliding up your sides as his teeth grazed the sensitive spot just below your ear.
Your breath hitched, your hands finding their way to his shoulders as his mouth moved lower, trailing kisses down your neck and along your collarbone. His fingers tugged at the hem of your shirt, pushing it up to expose more skin, his lips following the path his hands carved.
"We’ve done it not even an hour ago," you murmured, your voice trembling as he nipped lightly at your shoulder.
Josh chuckled against your skin, the sound vibrating through you. "Perfect then! Means that you’re ready for me," he admitted, pressing his lips to yours into a kiss that was equal parts sweet and consuming. His hands roamed your body with a mix of confidence and care, his touch leaving trails of heat in its wake.
He broke the kiss just long enough to tug your shirt over your head, his eyes darkening as he took in the sight of you. "You look good," he said simply, his voice tinged with awe.
"Stop being sappy," you teased, though your heart raced at his words.
Josh grinned, his hands sliding to your waistband. "Fine, I'll focus on other things"
He made quick work of your pants, his lips finding yours again as he pressed you back against the table. The feel of his body against yours, the weight of him grounding you, sent a shiver down your spine.
"Tell me what you want," he murmured against your lips, his voice low and intimate.
"You," you replied without hesitation, your hands tangling in his hair as you pulled him closer.
Josh groaned softly, his fingers tightened on your thighs, his thumbs stroking the bare skin just above your knees as he stepped closer, pressing himself against you. His lips trailed along your jawline, soft and teasing at first, but the heat in his movements grew with each passing second.
He tilted your head slightly, exposing more of your neck and pressing his lips there, warm and insistent.
Your breath hitched as his teeth grazed the sensitive spot just below your ear, his tongue following in a slow, deliberate sweep that left you shivering. His hands roamed upward, fingers hooking under the hem of your shirt before tugging it over your head in one swift motion.
"God," he breathed, pulling back just enough to take you in. His eyes were dark, predatory. "You're fucking amazing."
"You don't look so bad yourself," you managed, your voice shaky but laced with a teasing edge.
Josh smirked, leaning in to kiss you again. This time, there was no pretense of restraint. His tongue slid against yours, the kiss messy and consuming as his hands pulled you closer until there wasn't an inch of space between you.
Your hands found their way to his shirt, pushing it up over his torso. He broke the kiss just long enough to yank it off, tossing it carelessly to the floor before returning his lips to yours. The heat of his bare chest against yours sent a thrill through you, his skin warm and slightly damp as your hands explored the defined lines of his back.
Josh's hips rolled against yours and you felt the unmistakable hardness pressing against your thigh. Your own erection makes your pants feel painfully tight. He groaned softly, his breath hot against your neck as he ground into you, the friction sending sparks of pleasure coursing through your body.
"You're driving me crazy," he admitted, his voice rough as his hands slid to the waistband of your pants. He hesitated for just a moment, his eyes meeting yours. "Can I…?"
"Yes," you said quickly, the word barely more than a whisper.
He grinned, his usual cocky demeanor softened by the flush in his cheeks, and tugged your pants down, his hands deliberate and firm. You kicked them off, your skin prickling with anticipation as he leaned back to admire you.
"You're perfect," Josh said, his voice husky as his fingers traced along your thighs, his touch featherlight but electrifying.
You reached for him, pulling him closer until his body was pressed fully against yours. The feel of him, hard and eager, against your own growing arousal made you gasp. Josh took the opportunity to kiss you again, his hands sliding lower to grip your ass, lifting you slightly as he aligned himself with you.
"Ready?" he asked, his hands voice soft but filled with intensity.
You nodded, wrapping your arms around his neck as he positioned himself. The stretch as he pushed inside was slow and deliberate, his movements measured as he let you adjust to the fullness.
"Fuck," he groaned, his head dropping to your shoulder as he buried himself completely.
The words sent a shiver through you, your hands tightening on his shoulders as you urged him to move. Josh pulled back slightly, his hips rocking forward again in a slow, steady rhythm that left you breathless.
He found a pace that was both gentle and intense, his thrusts deep and deliberate, each one drawing soft moans from your lips. His hands gripped your hips, guiding you as he pressed kisses to your neck, your jaw, your lips.
Your own voice trembling as the pleasure built with each movement.
Josh's pace quickened, his control slipping as his need for you overwhelmed him. The table beneath you creaked with each thrust, but neither of you cared. The only thing that mattered was the way he filled you, the way his body moved against yours like you were made for each other.
Your climax hit suddenly, a wave of pleasure crashing over you and leaving you trembling in his arms. You cried out his name, your fingers digging into his shoulders as your body clenched around him.
Josh wasn't far behind. His thrusts grew erratic, his grip on your hips tightening as he buried himself as deep as he could, groaning your name as he spilled into you. The warmth of his release sent another shiver through you, the sensation leaving you breathless.
For a moment, the two of you stayed like that, tangled together on the table, your breaths mingling as you came down from the high. Josh pressed a soft kiss to your forehead, his hands trailing soothing patterns on your back.
"Am i forgiven now?" he asked, his voice hoarse but laced with his usual humor.
You laughed softly, nuzzling into his neck. "Yeah, I'd say so."
Josh grinned, his arms tightening around you as he rested his forehead against yours. "Good. Because I'm not done yet."
𝒞𝒽𝓇𝒾𝓈 ℋ𝒶𝓇𝓉𝓁ℯ𝓎
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Hesitant, nervous chuckles and self-deprecating jokes peppering the atmosphere before his passion takes over. He's the type to fumble slightly, then find his rhythm as he becomes more confident. He'd moan sweetly, almost embarrassed by how lost he becomes in you, whispering heartfelt praise and words that reflect just how irresistible he finds you.
The game's victory screen flashed across the TV, the sound of triumphant chiptunes filling the room. Both you and Chris collapsed onto the bed in an exhausted heap, the adrenaline of finally beating your highest score leaving you giddy. His laughter bubbled up first, that unmistakable mix of relief and joy that only he could manage and you couldn't help but join in.
"We actually did it," Chris said, breathless as he flopped onto his back, one arm draped lazily across his forehead. "I thought we were doomed when you missed that jump in the third level."
"Excuse me, you're the one who forgot to grab the power-up right before the boss fight." You shot back, turning your head to face him.
Chris groaned, dramatically rolling onto his side to look at you. His glasses were slightly askew and his hair was sticking up in every direction, but he looked so completely relaxed and at ease in that moment that it made your chest ache in the best way. "Okay, okay, my bad. But you have to admit I nailed that final combo."
You snorted, nudging his shoulder with yours. "Yeah, sure. But only because I carried us through the rest of the game."
His jaw dropped in mock outrage. "Carried us? You died twice in the first round, man!"
“And who revived you at the end?" you shot back, smirking.
Chris opened his mouth to respond but stopped, his grin widening as he broke into laughter. "Alright, alright. You're not entirely useless. We're gaming legends now! They're gonna put our names in the Hall of Fame or something."
"Right next to the guy who discovered cheat codes for unlimited lives," you quipped.
"Exactly," he said, grinning as his blue eyes sparkled behind his glasses. "We're pioneers of our time."
The two of you laid there, the laughter slowly fading into a comfortable silence. The faint glow of the TV bathed the room in soft light, illuminating the faint curve of his smile as he gazed up at the ceiling. His arm was still close to yours, his fingers just brushing against your skin in a way that felt deliberate but unspoken.
"It was fun," Chris said after a moment, his voice quieter now.
"Yeah," you agreed, your own tone softer. "I don't think I've laughed this much in a while."
He turned his head to look at you, his glasses sliding down his nose slightly. "From now on you'll be my good luck charm."
You chuckled, shaking your head. "You just needed someone to keep you focused. You do get distracted a lot."
Chris groaned, covering his face with his hands. "Don't remind me. I'm like a dog chasing squirrels. Oh look, shiny object—game over."
You both laughed again, the sound soft and intimate in the late-night stillness. When it faded, you found him watching you, his blue eyes catching the flicker of light from the TV.
"What?" you asked, your voice tinged with curiosity.
"Nothing," he said quickly, but his grin gave him away. "You're a lot of fun to hang out with, you know that? Like, even when you're roasting me."
"Glad to be of service," you teased, your own grin mirroring his.
His gaze lingered a little longer than usual, his expression shifting slightly. "No, but seriously. I mean it. You're, uh… you're really great."
You felt your cheeks warm at his words, the sincerity in his voice catching you off guard.
"Thanks," you said softly. "You're pretty great too, Chris."
He smiled, a little shyly this time, and turned onto his side fully, propping his head up on one hand. "Have you ever thought about how weird life is? Like, one day you're just doing your usual things, then Sam one day shows up with someone like you and suddenly everything's a million times better. Boom. Butterfly effect."
You raised an eyebrow. "Are you trying to be romantic at two in the morning? Because I think the lack of sleep is getting to you."
"Hey, don't ruin my moment!" he protested, but his laughter undercut his words.
You laughed too, the sound mingling with his as the moment stretched on.
You sat up on the bed and then crawled toward your destination, the TV's glow fading as you turned it off. When you turned back to the bed, Chris was sprawled out like a contented cat, his arms spread wide, his legs slightly apart. His glasses were back into their original place at the top of his nose.
"You just gonna stare, or are you gonna accept my invitation?" he teased, wiggling his eyebrows in an exaggerated fashion.
You laughed, shaking your head, but the way his smile widened when you leaned closer told you that you weren't fooling him for a second. You crawled onto the bed, resting against his side as he let his arm fall lazily around your waist.
"Happy now?" you asked, pressing a quick kiss to his left cheek.
"Getting there," he said, voice soft and a little breathless
You didn't stop, peppering more kisses along his cheek and down to his jaw, light scratches from his stubble against your lips. Your hand wandered lower, brushing over his stomach, then down to his pants, where you felt the beginnings of his growing arousal.
Chris chuckled, the sound nervous but filled with anticipation. His free hand moved to your back, pulling you closer as his breath hitched. "Wow, okay, uh… Someone's feeling bold tonight," he murmured, though his grin betrayed how much he was enjoying it.
"Aren't we supposed to be basking in our gaming glory?"
You squeezed him gently through the fabric, feeling him harden further under your touch. "Should I stop, then?" you teased, feigning innocence as your fingers lingered.
"Nope!" he blurted out quickly, his voice cracking slightly as his head shot up. His face was flushed, but his lips found yours in a soft, insistent kiss, his usual shyness tempered by a growing determination.
The kiss deepened, his tongue brushing yours as his hand slid under your shirt, his fingers warm and exploratory against your skin. You shifted, straddling his lap, and he let out a quiet groan as your weight pressed down on him. His hands gripped your hips, guiding you slightly as he rolled his hips up, creating delicious friction that left you both breathless.
"God, you're… You're really good at this," Chris muttered, his lips trailing down your neck, each kiss accompanied by a soft hum of approval.
"You sound surprised," you teased, grinding against him again just to hear the way his breath caught.
He laughed softly, though it quickly turned into a low groan. "No, no, I mean—I just—" He stopped, shaking his head as if words were failing him entirely. "Never mind. Keep doing that… please?"
You grinned, leaning in to kiss him again, your hands slipping under his shirt to explore the warm expanse of his chest. He was lean but toned, his body radiating heat as your fingers traced over him, eliciting small, breathy noises that only spurred you on.
Chris's hands slid to the waistband of his pants, fumbling slightly as he worked them down. "Help me out here," he said with a nervous laugh, his cheeks red but his smile never wavering.
You helped him and he helped you out, the two of you working together to peel away the layers until you were completely bare. Him beneath you with your naked body on top of his. His erection stood proud, flushed and eager and the sight of him vulnerable yet so clearly aroused made your own desire burn hotter.
"You're handsome, you know that?" you said softly, running your hands over his thighs as you sat back to take him in.
Chris laughed, covering his face with one hand. "Oh my God, don't say stuff like that. I'll die."
"Too bad. I’ll say it, whether you like it or not," you teased, leaning down to kiss him again.
His response was a muffled laugh against your lips, but it melted into a moan as you reached down to guide him to your entrance. He gripped your hips tightly, his eyes searching yours for confirmation and when you nodded, he let out a shaky breath.
"Okay," he said, his voice soft but steady. "Okay, just—take your time."
You did, slowly sinking onto him, the stretch intense but achingly good. Chris's grip on your hips tightened, his head falling back against the pillow as a low groan escaped him.
"Holy shit," he whispered, his hands trembling slightly as he held you steady. "God, you feel amazing."
You leaned forward, bracing your hands on his chest as you began to move, your body adjusting to the rhythm as you found a steady pace. Chris's eyes were half-lidded, his lips parted as he sat up from his previous laid position. His hands were guiding your movements but never pushing, always letting you set the pace.
"Is this— shit, is this okay?" he asked, his voice cracking slightly as his hips bucked up involuntarily.
"it's perfect," you murmured, leaning down to kiss him. "You're perfect."
His laugh was breathless, almost disbelieving, but he met your kiss with fervor, his tongue tangling with yours as his hands explored your body. The soft gasps he made, whispered curses, your name falling from his lips like a prayer… it all drove you closer to the edge with every thrust.
Chris's movements became more erratic, his hips meeting yours with increasing urgency. "I'm—oh God, I don't think I'm gonna last," he admitted, his voice high and strained
"Don't hold back," you said, your own voice trembling as your climax built.
With a choked groan, Chris buried himself as deep as he could and tightened his arm around your body, his release hitting him in waves that left him trembling beneath you. The feeling of him filling you, combined with the look of utter ecstasy on his face, sent you over the edge, your own orgasm crashing through you as you collapsed onto his chest.
For a moment, the two of you stayed in that position, your breaths mingling as you came down from the high. Chris's arms pulled you close as he pressed a soft, lingering kiss to your temple.
"Best. Night. Ever," he murmured, his voice warm and content.
"Agreed," you said, your own smile matching his as you nuzzled against him.
If you liked this, please leave a comment. I love reading them <3. Let me know if you had a favorite one out of this four fine men ;)
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constantlyquestioningg · 8 months ago
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set myself maths questions and did them i am a genius!!!!
i wish i had maths homework right now
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itsgerges · 7 months ago
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Best Regards
The Gravitational Waves Reflection Analysis
or
or
or
Basic Critic Against The Physics Book
It's the main problem I found in the solar system Geometry- the Physicist sees something but the designer sees another thing– these are two different visions for the same solar system- that answers (Why Are So Many Theories In The Physics Book Just Imaginary Ideas And Not Facts?)– let's discuss this problem
The Physicist Vision
The physicist supposes that there's (a unit of building)- by that- the physicist sees the mass (for example) as wall and this wall is consisted of bricks (small similar units) and for that the physicist searched for this (unit) because it's the (unit) by which the wall is building (the mass is building)– this is the physicist thinking direction- he believed there's a small unit by which the great building is built
For that the physicist searched and found the particle and then the particle is divided into Molecules then the Molecule is divided into atoms and the atom is divided into nucleus and electron moves around and the nucleus is divided into proton and Neutron- and the proton is divided into quarks …etc
The physicist searches for the building unit- the unit by which the building is built – or the unit by which the mass is built – for that the physicist divides (any thing) to see its contents till reach to the unit which can be used as the building unit. 
The Designer Vision
The designer aims to create integration- as the marriage – male and female- the relationship will cause to give birth for a child
INTEGRATION this is the word inside the designer Mind
No building unit- the marriage answers- because in marriage both (male and female) are required and no one of them better than the other – both work together and give equal effects on the same one process and give together one result- I explain the idea by the marriage because it's easy to understand- I want to put the word (Integration) as the basic concept in the designer mind
And
I want to explain how the physicist causes fatal error for the research method
While the physicist divides the elements one after one (from matter to particle to molecule to atom to proton to quarks …etc) this division from out into inner till reach to very small unit which he considered the building unit – that causes to destroy the geometrical design of the integration process
Let's return to the marriage- the marriage requires two players (male and female)- they have different bodies and the process give birth for children- Suppose we remove one player what would happen? (where can we find a woman pregnant by herself?)
I want to say- the division from (matter to particle to molecule to atom to proton to quarks …etc) destroys the general geometrical design which uses the integration process- let's give other examples
Example No. (1)   
Einstein told us (He can't find slightest meaning for the word SPACE) by that he can't define (what's the space) and also he found the space has no mechanical features because no definition causes these features – this is the physicist vision - Let's see the designer vision
Planet moves and its motion produces energy (1/2 mv^2) and where's the energy? the planet can't store its motion energy inside its body because this energy would raise the planet temperature and no planet temperature is raised by its motion- so- where's the planet motion energy? logically we suppose that- the energy is stored in the space in waves form- means- the planet moves and its motion energy creates waves in the space (as the fish swims in the sea and its motion creates waves in the sea water) similar to that the planet motion produces energy and this energy creates waves in the space- by that we can define the space and conclude the space nature and features- simply we conclude the space has mechanical features because the energy is stored in the space as moving waves- the gravitational waves prove the space has motion- why we can solve the question which Einstein couldn't solve? Because he supposed the planet is independent from the space- the integration concept is not known by him
Notice
The waves are produced by the planet motion energy are the gravitational waves, the paper first hypothesis proves these waves are produced by the planets motions energies and not by the gravitational field also the hypothesis proves the Sun doesn't produce a gravitational field.   
Example No. (2)   
The scientists stated (The Sun Rays Are Created By The Sun Nuclear Fusion Process)
Why?
Because they think the sun is independent from the planets and each planet is independent from the other– the harmony motion can not prove all players are created from one unified source (one energy) - the integration is not seeing here 
But
We can reach to the facts simply- because- the planet moves and produces energy (1/2 mv^2) and this energy is stored in the space in moving waves-
The simple idea tells (the energy can NOT be stored in the space forever) this stored energy must be used- here we see how the sun rays is created- clearly- the Sun Is NOT Doing nuclear fusion to produce its rays- why? because the solar system is very rich in the motion energy and massive motion energy is stored in the space logically this stored energy must be used by some method- based on that- I conclude ��� the sun rays are produced from this stored energy regardless the production mechanism (means even if I don't know how the sun rays is produced by this energy) I still can confirm that the sun rays is created from the planets motions energies which are stored in the solar system space as moving waves-
I wish I explain the idea clearly -I can discover the space nature and features by planet motion analysis – why? because of the integration- they do one unified job together and each player can be defined by the analysis for the other player.
Notice The paper second hypothesis tells (the sun rays is created by the gravitational waves motions and the gravitational waves are produced by the planets motions energies, means the sun rays is created from the planets motions energies total) the hypothesis is discussed and proved in the paper abstract and discussion
The Concept Problem -the problem is the eyes – the physicist eyes should see the integration while the integration is growing– let's give example to see this problem
The Earth and its moon move together and they create integrated motion- that shows unified motion by the two planets – but this integration is growing by Venus Motion effect on both planets and by that we have greater integration contains (The Earth- The Moon – Venus) – But Mars also has effect on the three planets – that shows greater integration contains the four planets and of Course Mercury has effect on all and that created greater integration contains the inner planets –
The integration is growing till contain all planets and the Sun together – why?- because it's One Unified Energy behind all players
It needs one genius can understand all these motions and their effects on each other to create one unified motion and one unified effect
The physicist needs very wide eyes can see the great integrated system and all small integrated systems inside it– (something like a great chess board which have hundreds of pieces- if the eyes can see all pieces motions and their effects)
The Concept Use Difficulty-
Why is it hard to discover the integration in the solar system?
Because the geometrical rules are not known and by that we don't know what effect is produced by this integration – the paper hypotheses provide examples to explain that.
PAPER FIRST HYPOTHESIS
Paper first hypothesis
The gravitational waves are produced by the planets motions energies and not by the gravitational field (Moreover the sun is not producing a gravitational field) and
The gravitational waves are reflected three times in the solar system (from Pluto and Neptune to Saturn) and (From Uranus to Jupiter) and (from Venus to Mars) –
The gravitational waves reflection causes changes in the planets data- and these changes are repeated with each reflection- means- these changes are found by rules because it's repeated with each reflection clearly- that shows the planets use similar behaviors to create their data which proves one reason causes to create all this data
Also- the wave energy reflection causes to square the wave velocity – the velocity square is the most important feature of the energy reflection because it enables the waves to move by speed of light- that explains how the gravitational waves can move by speed of light in the solar system- the motion by speed of light is produced only by the wave energy reflection (and without the reflection this motion can't be done)     
Paper 1st hypothesis (The objective of the hypothesis)
I prove that the gravitational waves are produced by the planets motions energies and these waves are reflected in the solar system three time and the reflection of the wave energy causes to square the wave velocity (the velocity squaring is the important feature I prove in the paper because the light beam is reflected but its speed is NOT squared and that means the wave velocity squaring is feature of the space) and it's very important to prove the wave velocity is squared by the reflection because this process enables the waves to move by speed of light and that explains how the gravitational waves can move by speed of light – as this new article states
This Is Extraordinary: Gravity Can Create Light, All on Its Own
https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsnHYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"cvid=620db4352aa943e2b454919a7b724604HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"ei=83
The article tells, the gravitational waves can move by speed of light and can produce a light beam- here I explain how the gravitational waves can move by speed of light (please note the article still believes the gravitational waves are produced by the gravitational field – I refuse this idea – the gravitational waves are produced by the planets motions energies but the article states that the gravitational waves can move by speed of light and can produce a light beam and I accept this idea and I explain and prove how the gravitational waves can move by speed of light) 
Paper 1st hypothesis Proof (The Proving Method)
I compare between the planets data in the three reflections of the wave- I put the planets data in comparison to each other for each reflection to prove the planets use similar behaviors to define their data and this similar behavior proves one force (or one reason) is found behind- and this one reason is the wave energy reflection which causes to create all this data –
The wave energy reflection effect on the solar system design (A Summary)
The reflections cause defined changes in the planets data – and
The most important change is (the wave velocity square) – and this velocity squaring is very important because it enable the gravitational waves to move by speed of light – the motion by speed of light is very effective on the solar system design because it defines the planets distribution between the sun and Pluto– this fact is explained in point no. (**) 
Paper 1st hypothesis Explanation and Proof Discussion
Paper 1st hypothesis Explanation and Proof Discussion
The explanation is discussed in two parts
1ST PART
I- Preface
II- The Comparison
III- The explanation of the wave energy reflection effect on the solar system design
2nd PART
The Gravitational Waves Reflection Detailed Discussion
(Paper 1st hypothesis Explanation) 1ST PART
I- Preface
(1)
Planet Motion Energy Analysis
Planet motion produces energy (1/2 mv^2), where's Planet motion energy? the planet can NOT store its motion energy inside its body because it would raise its temperature and No planet temperature is raised by its motion- logically- the planet motion energy is stored in the space in waves form- means- Planet motion energy creates waves in the space- the planet motion in the space is similar to a fish swimming in the sea- as the fish swimming creates waves in the water the planet motion energy creates waves in the space- let's see this picture clearly- the fish swims because it hits the water by its body and that creates waves in the water- we conclude, the water waves move by a velocity equal the fish velocity because of the reaction force- similar to that- Planet moves in the space and its motion energy creates waves in the space and these waves move by velocity equal the planet velocity- for example- Mercury (47.4 km/s) moves and its motion energy creates waves in the space and these waves move by equal velocity (47.4 km/s)- based on this idea- All planets move and their motions energies create waves in the space where each wave moves by velocity equal its planet velocity
(2)
These Waves Are The Gravitational Waves (My Hypothesis)
Mans- the waves are produced by the planets motions energies- these waves are the gravitational waves- it's my paper 1st hypothesis- the gravitational waves are not produced by the gravitational field (moreover the sun doesn't produce a gravitational field) instead the gravitational waves are produced by the planets motions energies 
AND
The planets revolve around the sun in the same one direction and for that their motions energies create waves in the space and these waves move perpendicular on the revolution direction (Toward Pluto orbit)
AND 
In Pluto orbit these waves are unified together into one unified wave- this wave moves by a velocity = 205.8 km/s why? The 9 planets velocities total=176 km/s but I add the Earth moon velocity (29.8 km/s) that makes the total to be 205.8 km/s – I add the moon velocity because the energy is stored finally in the moon orbit-
Note- The moon and the Earth revolve around the sun together for that the moon velocity is considered equal the Earth velocity relative to (the sun) –
The 1st Conclusion
The Planet Motion Energy Creates Waves In The Space
Means - The Space Must Have Moving Waves  -
Now -the scientists had discovered waves in the space- And- they considered these waves are produced by The Sun Gravitational Field – BUT Why?
The planet motion energy analysis proves the waves must be produced by the planets motions energies- Now let's refute the sun gravitational field theory- the refutation gives support for the conclusion – the gravitational waves are produced by the planets motions energies and NOT by the gravitational field because there's NO Gravitational field.
(3)
The Refutation Of The Sun Gravitational Field
The Sun Doesn't Produce A Gravitational Field Nor Has Massive Gravity – let's prove that in following
(i)
The sun rotation period is (25.4 days– at equator) and (34.4 days – at pole) that shows the sun has no massive gravity nor even ordinary gravity equal any planet gravity otherwise the sun would rotate around its axis in one period of time- 
(ii)
No Planet Moves By The Sun Gravity–Newton is wrong- because- the planet moves by the force caused its creation- means- the planet creation and motion is done by one force only- because- if two forces have effects on the same one planet this planet would be broken- now- suppose the planet is created (by any force) and the sun gravity attracted this planet and forced it to revolve around the sun by the sun mass massive gravity (as Newton imagined) that would force the planet to move against its inner structure and will cause this planet to be broken- this is similar to a human is forced to walk on his hands in place of his legs and when this human refuses to do that (they told him we can force you by our power) for that this human walk on his hands forcedly and later this human is dead by this motion- shortly- the planet is NOT broken by its motion because the planet creation force is the force causes this planet motion- it's one force caused the planet creation and motion-
Newton mistake is that he didn't know how the planet is created and by that he didn't realize that planet creation and motion are done together by the same one source- simply- the sun didn't cause to create any planet and for that the sun doesn't cause any planet to move- this analysis shows logical base but left us with puzzles to know (by what rule the planet moves?) and (Why is the sun found in the solar system if it doesn't cause the planets motions?) these questions are answered in the paper abstract and discussions.  
(iii)
The mass gravity force can NOT cause any motion- again Newton is wrong- the mass gravity creates a bond between two masses- (the Earth and the moon are bond by the mass gravity)- by that they are similar to a lorry and its trailer – if the lorry moves the trailer will move with the lorry- but the mass gravity can NOT cause any motion- why? suppose the moon moves by the Erath gravity force- the moon moves and produces energy (1/2mv^2) and we have to ask from what source this energy will be provided?- from the mass itself- means if the Earth causes the moon to move the Earth and the moon masses should be decreased by the motion energy- this is a wrong definition for the mass gravity- the mass gravity creates a bond between two masses (The Earth and the moon) if some outer force causes the Earth to move the moon will move with the Earth and in this case the outer force will provide the motion energy for the Earth and the moon-
(iv)
The planets order contradicts Newton gravitation equation- where- the gravitation equation tells (greater mass necessitates shorter distance)- clearly- Jupiter the greatest mass is not the most near planet to the sun- means- the planets order contradicts the equation- when we asked the physicist told us this problem is done by (the initial conditions)- all these are nonsense clearly- planet orbital distance does NOT depend on the sun mass nor on the planet mass- planet orbital distance depends on the neighbor planet orbital distance – my equation proves this fact- let's see it
Planet orbital distance equation (my 1st equation)
d^2= 4do (d-do) where d= planet orbital distance and do= its neighbor distance
Example (1) Venus orbital distance (108.2)^2 = 4 x 57.9 x (50.3)                              
d= 108.2 million km = Venus Orbital Distance
d0= 57.9 million km  = Mercury Orbital Distance
50.3million km=The Distance Between Venus And Mercury  Venus Depends On Mercury
Example (2) Saturn orbital distance (1433)^2= 4 x 778.6 x 655
d= 1433 million km    = Saturn Orbital Distance
d0= 778.6 million km  = Jupiter Orbital Distance
655million km=The Distance Between Saturn And Jupiter Saturn Depends On Jupiter
All planets orbital distances are defined based on their previous neighbor planets orbital distances- the equation is correct perfectly and all planets orbital distances are defined by it- my paper tests and discusses this equation
Shortly- planet mass has no any effect on this planet orbital distance definition.
Notice
Planet orbital distance definition depends on its neighbor orbital distance this fact is proved by many other different methods my equation is one method only of them, all these methods don't use any planet mass- all planets orbits are defined based on their neighbor orbits- (Please note- Newton gravitation equation is wrong- I don't critic it by many critics to short the discussion- but- the fact is that- the light beam created all planets orbits before any planet creation- the light created each planet orbit depends on its neighbor orbit- I prove this fact in the paper discussion- logically this fact kills the gravitation equation because the orbit is created before the planet creation)  
Notice -Newton is so far from the truth- let's give one more example- Newton told us planet moves by the sun mass gravity- the fact is that- the Sun itself is created by the planets motions energies- that's why Newton ideas are not interesting for discussion because his ideas are imaginary have no part of truth-
(v)
Also-Newton told-planet motion depends on its mass- means-planet velocity depends on its mass- this also is imaginary idea- I define planet velocity in the paper abstract- planet velocity is defined by many rules all of them don't use any planet mass- at all Planet mass has no rule in this planet velocity definition.
The 2nd Conclusion
The Gravitational Waves Are Produced By The Planets Motions Energies And Not By The Sun Gravitational Field- Also-There's No Gravitational Field At All
(4)
The Energy Reflection Trajectory
Let's remember what we know till now
(a)
Planet motion produces energy (1/2 mv^2) and this energy creates waves in the space and each wave moves by its planet velocity- these waves move toward Pluto (perpendicular on the revolution direction) and in Pluto orbit these waves are unified into one unified wave moves by velocity = the planets velocities total = 205.8 km/s  
Means- while the planets revolve around the sun in their orbits by their velocities- there's one unified wave revolves around the sun moving by 205.8 km/s and this unified wave revolves around The Sun In Pluto Orbit-this unified wave is The Gravitational Wave  
Now- this unified wave is reflected from Pluto to Venus orbit- Means- the unified wave is reflected and sent from Pluto to Neptune to the next planets till reach Venus 
The unified wave is reflected three times in the solar system
(from Pluto and Neptune to Saturn) and
(from Uranus and Jupiter) and
(from Venus to Mars)
With each reflection of the wave defined changes are done for the planets data
But let's refer to the general design behind these three reflections in following
(b)
We remember this new article
This Is Extraordinary: Gravity Can Create Light, All on Its Own
https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsnHYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"cvid=620db4352aa943e2b454919a7b724604HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"&HYPERLINK "https://www.msn.com/en-us/news/technology/this-is-extraordinary-gravity-can-create-light-all-on-its-own/ar-AA19YL5d?ocid=hpmsn&cvid=620db4352aa943e2b454919a7b724604&ei=83"ei=83
The article tells, the gravitational waves can move by speed of light and can produce a light beam-
My hypothesis tells (the reflection of energy causes to square the wave velocity)
Let's put the ideas beside one another to see the general design
The gravitational waves can move by speed of light AND can produce a light beam – How?? if the motion is done by speed of light (C=300000 km/s) how can this motion produce a light beam? Because the light beam is produced from the value (C^2 = squared speed of light) – here we see the energy reflection effect- the wave moves by speed of light and when this wave is reflected its velocity is squared and produced the value (C^2 = squared speed of light) from which the light beam is created-
Means
The machine needs one reflection to change the speed from (speed of light C=30000 km/s to the value C^2 =squared speed of light) and by that the light beam is created
Now – let's ask -
How can the wave moves by speed of light?
We remember- the one unified wave (the gravitational wave) moves in Pluto orbit with velocity 205.8 km/s – how can this gravitational wave moves by speed of light? 
By another reflection of energy – let's see that in following
300000 km/s = (205.8 km/s)^2 x 7.1
This equation tells
The unified wave (the gravitational wave) moves by 205.8 km/s and it's reflected, the waves reflection causes to square the velocities
(205.8 km/s)^2 = 42683 km/s
Means the gravitational wave after the reflection moves by a velocity 42683 km/s
BUT
If a particle moves by speed (=0.99 C=297000 km/s), this high velocity motion causes to create relativistic effects specially Lorentz length contraction effect with rate 7.1
Means- the distances should be contracted by the rate 7.1
BUT
The waves reflection causes to reflect the geometrical effects and by that the rate (7.1) will cause to increase the length in place of the length contraction- means- the distances will be increased with (7.1) as a result for Lorentz length contraction effect
The velocity 42683 km/s will be 42683 x 7.1 = 300000 km/s (Speed Of Light) 
That explains how the gravitational waves move by (205.8 k/s) can move by speed of light (C=300000 km/s)
Here we see clearly that
The machine needs one energy reflection only to accelerate the wave velocity from 205.8 km/s to move by speed of light (C=300000 km/s)
And
The machine needs one more reflection only to change the wave speed from the speed of light (C=300000 km/s) to (C^2 =squared speed of light) by which the light beam is created
Shortly -the machine needs only two reflections of energy to produce the light beam from the gravitational waves motions
Now – let's ask– Why Are There Three Reflections Of Energy In The Solar System? If The Machine Needs Just Two Reflections Why The Machine Uses Three Reflections? 
Because
Pluto reflected the energy toward Neptune but Neptune didn't send the energy to Uranus instead Neptune captured and energy and used it for its orbit and by that the energy be stored in Neptune orbit can didn't reach to Uranus- this effect of Neptune motion caused great problem in the solar system- in that time Saturn was not created yet- and Uranus couldn't release the energy from Neptune orbit for that Uranus made an interaction with the Earth and by this interaction Saturn is created for that Saturn is a planet its father is Uranus and its mother is the Earth- Saturn move depends on Uranus and the Earth motions- and -Saturn released the energy from Neptune orbit – for that – the first reflection is from Neptune to Saturn – that's why I call this reflection (from Pluto and Neptune to Saturn) because it’s the energy of Pluto but it's captured in Neptune orbit and Saturn released the energy from Neptune orbit (The 1st reflection of energy)  and Saturn sent the energy immediately to Uranus and Uranus reflected the energy to Jupiter  (The 2nd  reflection of energy) and Jupiter sent the energy to Venus and Venus reflected the energy to Mars  (The 3rd reflection of energy)- Now – we understand that – Neptune effect caused to reflect the energy one more time – if Neptune is not found in the solar system the energy would be reflected two times only and they will be enough to produce the light beam
(c)
Please note- the two reflections in the outer planets are done to produce a result of one reflection only and for that the two reflections are complementary one another as we will discuss- and – the solar system general design depends only on two reflections- means- spite they are three reflections and we will see in details each reflection effect but the solar system general design depends on two reflections because the third reflection is found because of Neptune negative effect- means- it's found only for repair the negative effect and if Neptune negative effect is removed this 3rd reflection will be removed for that the design depends on 2 reflections only- discussed later
(5)
 Planet Definition 
(A)
The physics book defines the planet as (Planet is solid body created independently from the space and the other planets)–if so- how can the gravitational waves reflection have effects on the planets data??
My definition for the planet is
Planet is a geometrical point carried on the moving energy (or Planet is a geometrical point found on a light beam) – let's explain this definition in following
The matter and space both are created from the same one energy- means
The planets matters and their distances both are created from the same one energy- the matter and space move depending on the motion of this energy from which they are created-means- the matter isn't moving by the mass gravity – Newton is wrong- the matter moves by the motion of the energy from which the matter is created- 
Based on this idea
The space is similar to the sea of water- and the matter is similar to a whirlpool (vortex) is found on the sea page- the matter creates for itself a geometrical frame (a distinguished form from the space) and moves by a different velocity from the space motion- as the whirlpool (vortex) on the sea page- it's created by the sea water but it has a distinguish form from the sea waves and it moves by a different velocity from the sea waves- this explanation shows how the moving energy can effect on the matter creation data- for example- we have a whirlpool (vortex) its diameter is 2 meters how is this whirlpool created? and why does its diameter equal = 2 meters? The diameter is created as a result for the water motion velocity, pressure, amount and motion angle and many other features of (the moving water)- the moving water creates this whirlpool with diameter 2 meters and as long as the water motion is not changed this diameter will not be changed also-   
Let's give another example
The energy motion is similar to the blood motion in a creature body- suppose- we examine now a liver of human - the blood motion causes this liver to work perfectly but if the blood motion is changed that would cause changes for the liver cells and job – suppose the blood have some poison the liver will be dead- suppose the pressure is raised- I want to say- the liver is a piece of body (matter) but it depends on the blood motion and this blood motion defines this liver dimensions and data- 
Shortly–the matter is similar to a muscle in a creature- the muscle may be so strong as a rock but it depends on the blood motion (similar to that the matter is found depending on the motion of energy from which this matter is created)
That explains how the gravitational waves reflection have effects on the planets data- still the planet is a solid body and the wave is a wave- the wave can be reflected but the solid body can NOT be reflected spite of that the planets data is reflected one another because the reflected waves have effects on the moving energy by which this planet (solid body) is created-
(B)
We should see the depth of this new definition-
The definition tells us
The matter (planet) is created by energy and the matter moves with this energy- means- this energy is the mother of this matter- this energy created the matter and caused this matter motion-BUT- this definition tells- the matter motion is defined before the matter creation- means- Planet motion is defined before this planet creation- How can that be possible? Because –
The energy is found alone in motion (the sea water was in motion) and the energy created the matter and this matter dimensions and data is defined based on the energy motion features (as discussed before- the whirlpool "vortex" is created with diameter 2 meters and this diameter is defined by the water motion features "velocity- pressure- angle- amount …etc") by that the matter dimensions are defined by the mother energy motion features - AND after the matter creation, the matter moves with the mother energy- by that- the created matter moves the same motion based on which this matter dimensions and data is defined- that explains how the planet motion is defined before the planet creation-
This fact is proved by my planet diameter equation because it proves strongly that the planet diameter is created based on its velocity- means- the equation proves – for example – Neptune diameter is 49528 km because Neptune velocity is 5.4 km/s and Neptune velocity is defined before Neptune diameter- let's remember this equation
My Planet Diameter Equation (v1/v2)= (s/r)= I
v = Planet Velocity                                                         
r = Planet Diameter
s= Planet Rotation Periods Number In Its Orbital Period
I= Planet Orbital Inclination        (example, 1.8 degrees be produced as a rate 1.8)
v2, s, r and I are belonged to one planet and v1 is belonged to another planet
The planet (v1) is defined by test the minimum error 
Earth Equation uses Neptune velocity
Mars Equation uses Pluto velocity
Jupiter Equation uses the Earth moon velocity
Saturn Equation uses Mars velocity
Uranus Equation uses Neptune velocity (As Earth)
Neptune Equation uses Saturn velocity
Pluto Equation uses the Earth moon velocity (As Jupiter)
Example    
Neptune Equation (89143 /49528) = 9.7/ 5.4 =1.8                
89143          = Neptune rotation periods number in Neptune orbital period
49528 km     = Neptune diameter
9.7 km/s      = Saturn velocity
5.4 km/s      = Neptune velocity
59800 days  = Neptune orbital period (and Neptune rotation period =16.1 hours)
1.8 degrees = Neptune Orbital Inclination
The Equation Concept (A Summary)
Planet diameter should be a function in its orbital distance –otherwise- this planet would be broken by its motion- BUT- the designer can't create a function has only 2 variables (Planet diameter and its orbital distance)- because– If this planet changes its orbital distance its diameter would be broken also because the diameter is a direct function in the orbital distance without any other variables -As A Result  
The designer created the planet diameter as a function in this planet rotation period and the planet rotation period is created as a function in this planet velocity and the planet velocity is created as a function in this planet orbital distance- by that- the function Planet diameter and its orbital distance is created but also it contains many variables (rotation period, orbital period and velocity)- by that- if a Planet changes its orbital distance- this planet orbital period, and velocity and rotation period would be changed but its diameter will be saved-
(C)
The previous explanation helps us to see how the planet is created- also we remember Kepler rule (Planet Orbit Defines Its Velocity)  
The orbit is created at first and the orbit defines the motion velocity and the planet diameter is created based on this velocity –means- the space is created before the matter creation- Shortly- The planet orbit is created (from the mother energy) before this planet creation and the planet is created later (by this energy motion features) and the planet data is defined based on this motion features and the planet moves after Creation with this mother energy motion- and– in case any planet after creation changes its orbit the planet motion data be changed but its creation data is saved- we should note that the space must be created based on a geometrical design-means- the solar system space (all orbits) is designed based on one geometrical design before any planet creation
(D)
The planet is a geometrical point on the mother energy and moves with it –Or
The planet is a geometrical point on the same light beam and moves with it
That tells
The solar planets are geometrical points found on the same one light beam and move with this light beam motion
By that- the planets are similar to carriages in one train –and the light beam (the mother energy) is the engine of this train- the light moves and causes all planets motions  (as the sea water moves and causes all ships motions)
Here we conclude that the planets motions are similar to the chess board motions because it depends on geometrical rules in all details- that's why the analysis is so useful because it can show the geometrical design found by the planets motions integration.
(E)
The planet definition answers the question
If The Gravitational Waves Are Reflected Why This Reflection Have Effects On The Planets Data?
Because the waves reflection causes to define the energy motion direction and by that the planets data is changed and effected by the moving energy through these planets-
The effects on the planets data is very useful because it proves the reflection is a fact as we discussed later
II- The Comparison
The gravitational waves are reflected in the solar system three times
(From Neptune to Saturn) This Is The First Reflection
(From Uranus to Jupiter) This Is The Second Reflection
(From Venus to Mars) This Is The Third Reflection
Here we compare among the data of these planets- the comparison provides 7 groups of data in each group we compare the planets data because I want to prove that the planets use similar behaviors to produce their data – means- this all data is created based on geometrical rules which proves that there's one reason caused to create all this data and this reason is the gravitational waves reflection- In the comparison I start by Venus reflection (the 3rd one) then Uranus reflection (the 2nd one) and Neptune reflection (1st one) because Venus is very simple data and can be understood easily-
The Data Changes
 The gravitational waves reflection causes basic changes in the planets data let's refer to these changes in following
What's used as (A) before the reflection will be used as (1/A) after the reflection.
What's used as (a distance) before the reflection will be used as (a period of time) after the reflection
The velocities be squared –the rate (v1/v2) before reflection will be (v1/v2)^2 after the reflection.
The energy direction is changed by the reflection
The players of the rates of time are reflected also –
Notice – the gravitational waves reflection needs three planets –as we have discussed- the 1st reflection (from Neptune to Saturn) and between them Uranus – also the 2nd reflection (from Uranus to Jupiter) and between them Saturn–  and also the 3rd reflection (from Venus to Mars) and between them The Earth– that shows three planets are used in each reflection- the middle planet is effected also by the wave reflection as we will see in the data discussion – shortly – No reflection can be done by two neighbors planets - 
These changes are done with each reflection for the gravitational waves- the planets data proves this fact as we will see in the comparison of the data and the detailed analysis for the wave reflection.
Group Data No (I)
(1)
The gravitational waves are reflected from Venus to Mars – For that
Venus orbital circumference 680 mkm is Changed Into Mars orbital period 687 days
And
687 days x 2π        = 4331 days (Jupiter orbital period)
687 days x 4π        = 10747 days (Saturn orbital period) x 0.8
687 days x 6π x 2  =  25920 years (The Precession Cycle)
(2)
The gravitational waves are reflected from Uranus to Jupiter– For That 
Jupiter orbital circumference 4900mkm is Changed Into The  period4900 days
And
4900 days x 2π      = 30589 days (Uranus orbital period)
4900 days x 4π      = 59800 days (Neptune orbital period) (error 3%)
4900 days x 6π      =  90560 days (Pluto orbital period) (error 2%)
(3)
The gravitational waves are reflected from Neptune to Saturn–
BUT
The distance 1433 mkm is still a distance And
(1410 mkm = Pluto Neptune Distance)
1433 mkm               = Mars orbital circumference
1433 mkm   x 2π    = 9010 mkm (Saturn Orbital Circumference)
1433 mkm   x 4π    = 18048  mkm (Uranus Orbital Circumference)
1433 days   x 8π     = 37100 days (Pluto orbital Circumference) (error 2.5%)
Discussion
(1)
The data shows the following
The Gravitational Wave Reflection From Venus To Mars Defines Mars, Jupiter And Saturn Orbital Periods
(Saturn orbital period is effected by the rate 0.8 we should discuss later)
The Gravitational Wave Reflection From Uranus To Jupiter Defines Uranus, Neptune And Pluto Orbital Periods
The Gravitational Wave Reflection From Neptune To Saturn Defines Saturn, Uranus, Neptune And Pluto Orbital Circumference
This data proved my planet definition (the planets are geometrical points carried by the same one energy- or- the planets are geometrical points found on the same one light beam- and the planets move with this light beam motion- and the planets are created depending on each other and No planet is independent from the others in its creation and motion) – means- the planets are similar to whirlpools (vortex) found on the sea water page- we can imagine many whirlpools (vortex) are found on the same one sea and they are near to each other- this picture is very similar to the planets nature- that explains how the reflection of energy for one time can define the orbital periods for three planets (or 4 planets) together-
Here we imagine there are 4 whirlpools (vortex) on the sea page near to each other and then one strong wave of water passed through these 4 whirlpools (vortex), and this water wave motion causes effects on the 4 whirlpools-
This information is so important because one motion only (one wave reflection) can cause to define three or four planets data that proves strongly the planets Can NOT be independent neither in Creation Nor in motion- the planets are created and moving depends on each other because all of them are created from the same one energy and they move with this same energy motion-
NOTICE Let's imagine we have 4 whirlpools (vortex) on the sea page near to each other and one strong water wave passes through these 4 whirlpools (vortex)  - now – suppose we put some red color on this strong water wave- what would happen? The water color will be red and the red water will pass through these 4 whirlpools (vortex)  
We pay attention here because one reflection of energy can define the orbital periods of three planets – Means – all of them must be dependent on this reflected energy.
That tells the planets are NOT independent but they are dependent on the mother energy from which they are created and that caused they to be dependent on each other –
Now let's analyze each reflection individually
(1) The Third Reflection (The Wave Is Reflected From Venus To Mars)
224.7 days (Venus orbital period) is changed into 227.9 mkm (Mars orbital distance)
AND-
680 mkm (Venus Orbital Circumference) is changed into 687 days (Mars orbital period)- (max error 1.5%) –
As the rule tells (what's used as distance before the reflection be used as a period of time after the reflection and vice versa)
The orbital periods definition
687 days x 2π = 4331 days (Jupiter orbital period)
687 days x 4π = 10747 days (Saturn orbital period) x 0.8
687 days x 6π x 2  =  25920 years (The Precession Cycle)
We don't discuss the precession cycle here
(Saturn orbital period is effected by the rate 0.8 we should discuss later)
The data shows, the planets orbital periods are defined by the rates (2π, 4π, 6π)
It's not clear yet why the design uses these rates to define the planets orbital periods but this is the rule we will see it in the other two reflections of energy.
The important notice here tells that- the gravitational wave reflection for one time defines 3 planets orbital periods – this fact is proved strongly by the data and it disproves the wrong idea tells (Planet is created independently from the other planets) 
(2) The Second Reflection (The Wave Is Reflected From Uranus To Jupiter)
Here we have a clear problem – let's see the data
Jupiter orbital circumference 4900 mkm is Changed Into The  period 4900 days
And
4900 days x 2π      = 30589 days (Uranus orbital period)
4900 days x 4π      = 59800 days (Neptune orbital period)                    (error 3%)
4900 days x 6π      =  90560 days (Pluto orbital period)                       (error 2%)
We see clearly, the data distribution is typical to the previous data of the third reflection- let's compare them
Venus orbital circumference 680 mkm is Changed Into Mars orbital period 687 days
Jupiter orbital circumference 4900mkm is Changed Into The  period 4900 days  
687 days x 2π = 4331 days (Jupiter orbital period)
4900 days x 2π = 30589 days (Uranus orbital period)
687 days x 4π = 10747 days (Saturn orbital period) x 0.8
4900 days x 4π = 59800 days (Neptune orbital period) (error 3%)
4900 days x 6π = 90560 days (Pluto orbital period) (error 2%)
The comparison shows clearly the data is almost typical- by that- we have to suppose- the gravitational wave is reflected from Jupiter to Uranus- It is NOT Fact–because
The gravitational wave is reflected from Uranus to Jupiter (and then to Venus) – we see clearly the problem where the data distribution is reversed the wave reflection direction-
Notice - please note clearly that – we deal with one gravitational wave only- there are NOT three gravitational wave and each wave is reflected in one reflection- it's NOT Fact – the fact is that- it's one gravitational wave reflected three times in the solar system- the comparison next data proves this fact and gives no area for any doubt-
It's one gravitational wave sent from Pluto to Neptune and reflected to Saturn then this same wave is sent from Saturn to Uranus and Uranus reflected the same wave to Jupiter and Jupiter sent the same wave to Venus and Venus reflected the same wave to Mars- One Gravitational Wave moves through all these planets        
The Conclusion
The planets data is distributed in the reversed direction for the reflected energy- the energy is reflected from Uranus to Jupiter but the data is distributed from Jupiter to Uranus- there's a geometrical reason for this behavior we should discover later.
(3) The First Reflection (The Wave Is Reflected From Neptune To Saturn)
We still have another problem- let's remember this problem reason
The gravitational wave first reflection is done from Pluto to Neptune, supposing Neptune would send the energy to Uranus but Neptune didn't send the energy instead Neptune kept the energy inside its orbit and prevent it to move toward Uranus – also Uranus itself couldn't release the imprisoned energy from Neptune orbit – and that necessitated Saturn itself to create interaction with Neptune to release the imprisoned energy for that the energy is moved toward Saturn immediately by that this reflection of the wave is considered the first reflection because the energy is released from Neptune to Saturn directly – Shortly- the wave energy is sent from Pluto to Neptune and the energy is reflected from Neptune to Saturn and this is the first reflection of the energy (the gravitational wave first reflection)
Let's see the data - The distance 1433 mkm (Saturn orbital distance) is still a distance And (1410 mkm = Pluto Neptune Distance)
1433 mkm               = Mars orbital circumference
1433 mkm   x 2π    = 9010 mkm (Saturn Orbital Circumference)
1433 mkm   x 4π    = 18048  mkm (Uranus Orbital Circumference)
1433 days   x 8π     = 37100 days (Pluto orbital Circumference) (error 2.5%)
The data follows the rule (2π, 4π, 8π) perfectly as the other two reflections but the data shows 2 problems which are
1st problem
The data distribution is in the reversed direction of the energy motion direction- because the reflection is done from Neptune to Saturn but the data shows the orbital circumferences of (Saturn, Neptune, Uranus and Pluto) are defined by this reflection which supposes the energy is reflected from Saturn to Neptune and that's NOT Fact 
This behavior is typical the behavior of the second reflection from Uranus to Jupiter-
Means- this behavior is repeated in the two reflections of energy which tells that the behavior depends on a geometrical reason.
2nd problem
The distance is not changed into a period of time as the other reflections but stayed as a distance! How and why?? let's see deeply this data
If the energy is reflected from Saturn to Neptune, Saturn orbital circumference 9010 mkm should be changed into a period of time to be 9010 days and then
9010 days    x 2π    = 2 x 28244 days (28244 mkm = Neptune orbital circumference)
9010 days    x 4π    = 113223 days
9010 days    x 6π    = 169840 days
We see the data gives NO real values- means- this is not the direction of the data creation- Instead – the distance 1433 mkm or the circumference 9010 mkm is still distance and then
1433 mkm   x 2π    = 9010 mkm (Saturn Orbital Circumference)
1433 mkm   x 4π    = 18048  mkm (Uranus Orbital Circumference)
1433 days   x 8π     = 37100 days (Pluto orbital Circumference) (error 2.5%)
And
1433 mkm               = Mars orbital circumference
We understand that, the data provides a distance (1433 mkm) and not a period of time then we have to ask again why this distance is not changed into a period of time?
We understand that the outer planets have 2 reflections (first reflection from Neptune to Saturn) and (the second reflection from Uranus to Jupiter)- also we understand that the solar system needs one reflection only in the outer planets and one reflection only in the inner planets and also we know the outer planets have two reflections because of Neptune negative effect on the solar system- means if Neptune is removed from the solar system the outer planets would have one reflection only – for that- the designer caused the two reflections in the outer planets to be complementary one another – the reflection from Uranus to Jupiter defines the planets orbital periods and the reflection from Neptune to Saturn defines these same planets orbital circumferences
 The designer caused to make the two reflections complementary one another and by that the two reflections can be unified into one reflection and based on that the machine will work by one unified reflection in the outer planets and one single reflection in the inner planets- but how the energy motion produces the distances in place of the periods of time? this question is hard to answer because we don't see deeply how the reflection of energy can define each planet orbital period (or orbital circumference) by using the rates (2π, 4π, 6π) we just discovered the rule but more geometrical analysis is required to see how this rule works
NOTICE
In the third reflection (from Venus to Mars) – let's remember the data
Venus orbital circumference 680 mkm is Changed Into Mars orbital period 687 days
687 days x 2π        = 4331 days (Jupiter orbital period)
687 days x 4π        = 10747 days (Saturn orbital period) x 0.8
687 days x 6π x 2  =  25920 years (The Precession Cycle)
We have asked- why Saturn orbital period is effected by the rate (0.8)?
Let's try to answer – let's see the data 10747 /9800 = 9800/9010 where
10747 days  = Saturn orbital period and 9010 mkm   = Saturn orbital circumference
9800 mkm   = 2 x 4900 mkm (Jupiter Orbital Circumference)  
We know 4900 mkm and 4900 days is the player in the second reflection from Uranus to Jupiter- means- Saturn has effect also in the second reflection for that the second reflection has effect on Saturn data and caused its orbital period to be produced under the effect of the rate (0.8) which is the reflection rate as we will see in the next data 
Group Data No (II)
(1)
3.024 mkm (Venus motion distance per solar day) x 0.8   = 2.4 mkm
2.57 mkm (Venus motion distance per solar day)              = 1.0725 x 2.4 mkm
2.57 mkm x 0.8 = 2.082 mkm (Mars motion distance per solar day)
(2)
1.1318 mkm (Jupiter motion distance per solar day) x 0.8 = 2 x 1.0725 x 0.421 mkm
(3)
0.838 mkm (Saturn motion distance per solar day) x 0.8 = 2 x 1.0725 x 0.3129 mkm
Discussion
We discuss the data no. (2) and (3) at first
DATA NO. (2)
1.1318 mkm (Jupiter motion distance per solar day) x 0.8 = 2 x 1.0725 x 0.421 mkm
(0.421 mkm = Uranus motion distance in its rotation period)
DATA NO. (3)
0.838 mkm (Saturn motion distance per solar day) x 0.8 = 2 x 1.0725 x 0.3129 mkm
(0.3129 mkm = Neptune motion distance in its rotation period)
MORE DATA
0.5875 mkm (Uranus motion distance per solar day) x 0.8 = 0.46688 mkm
(0.466884 mkm = Jupiter motion distance in its rotation period) And
0.46688 mkm (Neptune motion distance per solar day) x 0.8 = 0.3736 mkm
(0.3736 mkm = Saturn motion distance in its rotation period) And
0.46688 mkm (Pluto motion distance per solar day) x 0.8 = 0.3248 mkm
(i)
The rate (0.8) is created by the waves reflection and the planets velocities are defined based on each other by this rate as discussed in the planet velocity definition-  here the data shows the rate (0.8) defines each planet motion distance based on the other planet motion distance (in the same one reflection) –
let's explain that in more details
(1st reflection From Neptune to Saturn) for that
Saturn motion distance per solar day (0.838 million km) by the rate (0.8) defines Neptune motion distance in its rotation period 0.3129 million km
Also
Neptune motion distance per solar day (0.46688 million km) by the rate (0.8) defines Saturn motion distance in its rotation period 0.3736 million km
AND
(2nd reflection From Uranus to Jupiter) for that
Jupiter motion distance per solar day (1.1318 million km) by the rate (0.8) defines Uranus motion distance in its rotation period 0.421 million km
Also
Uranus motion distance per solar day (0.5875 million km) by the rate (0.8) defines Jupiter motion distance in its rotation period 0.46688 million km
AND
In the 3rd reflection we will see Mars motion distance per solar day is defined by Venus motion distance per solar day- follows the same rule  
Notice
We note the data No. (2) and (3) show the data is distributed in the reversed direction for the energy motion because the energy is reflected from Neptune to Saturn and from Uranus to Jupiter- But data is distributed in the reversed direction-
In the third reflection we will see the data moves in the same direction with the energy distribution
Also  
In Venus data we will see that it uses the square value (0.8)^2 and we will explain why the rate is used in square value
(ii)
Why is the rate (1.0725) found in the data? because the gravitational wave  moves by speed of light (300000 km/s) in Saturn orbit and in all planets orbits till Venus orbit-
Shortly
the wave velocity was 205.8 km/s through Pluto, Neptune and Uranus orbits BUT
The wave velocity is accelerated in Saturn orbit and its velocity be = speed of light =300000 km/s, for that reason the rate (1.0725) is created because this is (Lorentz length contraction effect rate) and it can be produced only by motion with speed=(99% speed of light =297000 km/s)- shortly- the wave velocity be equal=speed of light = 300000 km/s in Saturn orbit, for that the rate (1.0725) is produced in the orbits of Saturn and Jupiter as the data shows (and also in Venus data we will see it)
(iii)
The previous data shows the planets distances are rated by the rate (0.8) for the planets players in the same wave reflection- but- this picture is not complete yet – because the planets which aren't players in the same reflection shows equal distances also but this distances equality doesn't depend on the rate (0.8) let's give examples
Jupiter motion distance in its rotation period = Neptune motion distance per solar day =0.466884 million km
And
Saturn motion distance in its rotation period 0.3736 mkm x π = Uranus motion distance per solar day 0.5875 mkm x 2
And
The Earth motion distance per solar day = Pluto motion distance in its rotation period = 2.574 million km
This distances equality must be produced also by the waves reflection but the rule is not clear yet- I want to say the effect of the rate (0.8) on the planets distances is part of greater rule explains how this distances equality is produced and the useful result of it –
Please note–I analyze this data in details in 2nd part of this 1st hypothesis explanation-
Now
Let's discuss the data No.(1)
DATA NO. (1)
3.024 mkm (Venus motion distance per solar day) x 0.8 = 2.4 mkm
2.57 mkm (The Earth motion distance per solar day)                  = 1.0725 x 2.4 mkm
2.57 mkm x 0.8 = 2.082 mkm (Mars motion distance per solar day)
2.57 mkm = The Earth motion distance per solar day= Pluto motion distance in its rotation period
Means
3.024 million km x (0.8)^2 x 1.0725 = 2.082 million km where
3.024 mkm  =Venus motion distance per solar day
2.082 mkm  =Mars motion distance per solar day
Notice
2.57 mkm = The Earth motion distance per solar day
2.57 mkm = 1.0725 x 2.4 mkm The moon motion distance per solar day
2.59 mkm = Pluto motion distance in its rotation period
The data tells Mars motion distance per solar day depends on Venus motion distance per solar day – here all distances are defined by the solar day- 
In the third reflection- the wave is reflected from Venus to Mars- here also Venus motion distance per solar day (3.024 mkm) defines Mars motion distance per solar day (2.082 mkm)- but the definition depends on the squared value (0.8)^2 
That shows Venus reflection follows the same rule used by the other reflections – where the sender planet motion distance per solar day defines the receiver planet motion distance
Perfectly the rule is followed BUT Why does Venus use the square value (0.8)^2??
Because of the reflections order – let's explain that
The two reflections in the outer planets are complementary each other and by that they are unified and can be considered as One Unified Reflection in the outer planets
Means- there is one unified reflection in the outer planets and one single reflection in the inner planets and these are two reflections- means – Venus reflection should be considered the second reflection that causes to square the value (0.8)- that explains why Venus uses the squared Value (0.8)^2
Notice
This is a proof for my theory that (one gravitational wave is reflected three times)- means- this wave is reflected before and effected by the rate (0.8) and this same wave is reflected again for that the rate (0.8) be in its squared value  (0.8)^2
The Conclusion
The gravitational waves reflection causes the sender planet motion distance to define the receiver planet motion distance as seen in the data- the definition depends on the rate (0.8) – here we see one rule proves the receiver planet motion depends on the sender planet motion- 
Group Data No (III)
(1)              
5.56 = (568/102) = (59800/10747)
(2)              
21.8 = (1898 /86.8) = 30589 /1407.6
(3)              
(4.87/0.642) ^2 = (7.6)^2 and (7.6)^2 x 224.7 days = 2π^2 x 687 days
And
π^3 = 31 = (5.56)^2 = 4x 4.75 (but between 7.75 and 7.6 the error 2%)
Discussion
Data No. (1)
5.56 = (568/102) = (59800/10747)
568 x 10^24 kg      = Saturn Mass
102 x 10^24 kg      = Neptune Mass
59800 days            = Neptune orbital period
10747 days            = Saturn orbital period
In the first reflection the gravitational wave is reflected from Neptune to Saturn
This behavior shows second rule– for the planets in the same reflection- we see the masses rate defines the orbital periods rate and this behavior is used by the other two reflections- means- the gravitational wave reflection between two planets cause these two planets masses rate to define their orbital periods rate – let's see the rest data
Data No. (2)
21.8 = (1898 /86.8) = 30589 /1407.6                   (notice1407.6π =4331 error 2%)
1898 x 10^24 kg    = Jupiter Mass
86.8 x 10^24 kg     = Uranus Mass
30589 days            = Uranus orbital period
4331 days              = Jupiter orbital period
In second reflection the gravitational wave is reflected from Uranus to Jupiter
It's the same rule and behavior, the planets masses rates defines their orbital periods
Just Jupiter orbital period 4331 is divided by (π) – no any other change in the rule proves that the rule is a fact and used with the planets of the same reflection
Data No. (3)
(4.87/0.642) ^2 = (7.6)^2 and (7.6)^2 x 224.7 days = 2π^2 x 687 days
4.87 x 10^24 kg     = Venus Mass                          and 0.642 x 10^24 kg= Mars Mass
224.7 days             = Venus orbital period              and 687 days= Mars orbital period
In the third reflection the gravitational wave is reflected from Venus to Mars
Here also we see the planets use the same rule and the same behavior – the masses rate defines the orbital periods rate-But the rate is squared! Why?   
Venus Mass = 7.6 Mars Mass but the data uses the squared rate (7.6)^2 –
We should pay attention for this rate because the other planets used their masses rate but NOT squared value – Why does Venus use the squared value (7.6)^2?
We have solved this question in the distances discussion when Venus used (0.8)^2 and the other planets use (0.8) only- here also is similar to that- let's remember the reason
We agreed that the two wave reflections in the outer planets are complementary one another and by that they are unified together into one unified reflection and by that the outer planets has one unified reflection and the inner planets has one single reflection and these are considered as two reflections and for that Venus reflection is considered the second one in the solar system (and the final one) for that Venus uses the squared Value – where we know the wave reflection causes to square the value
Notice - 5.56 = (568/102) = (59800/10747) = (10/1.8) =9010/1622 where 1.8 deg = Neptune orbital inclination and 10 =4 x 2.5 deg (Saturn orbital inclination) and -9010 mkm= Saturn orbital circumference and 1622 mkm = Neptune Uranus Distance
Notice π^3 = 31 = (5.56)^2 = 4x 4.75 (but between 7.75 and 7.6 the error 2%) – this data is discussed in the next point
The Conclusion The Wave Reflection Causes The Sender And Receiver Planets Masses Rate To Define Their Orbital Periods Rate.
Group Data No (IV)
(1)
12104 km (Venus diameter) /6792 km (Mars diameter) = 3.4 deg /1.9 deg = π^0.5
(2)
142984 km (Jupiter diameter)/51118 km (Uranus diameter) = 2.79 =5.56/2
(3)
378675 km (Saturn Circumference)/49528 km (Neptune diameter) = 7.6
Discussion
Notice
π^3 = 31 = (5.56)^2 = 4x 4.75 (but between 7.75 and 7.6 the error 2%)
This data shows the rates (5.56) and (7.6) are found based on the value (π^3=31) I try to prove that it's one energy (one value π^3=31) and the different rates as (5.56 and 7.6) are found depending on (this one value π^3=31) by geometrical reasons – that proves it's one energy (one wave) is reflected three times in the solar system – the value (π^3 = 31 =) is very important because all rates depend on it
The group data shows the planets diameters rates depend on the value (π^3 =31)- let's examine it in following
Data No. (1)
12104 km (Venus diameter) /6792 km (Mars diameter) = 3.4 deg /1.9 deg = π^0.5
3.4 degrees = Venus Orbital Inclination
1.9 degrees = Mars Orbital Inclination
The data shows the two planets diameters are rated with rate equal their orbital inclination and this rate equal π^0.5
Notice
177.4 degrees (Venus axial tilt) = 1.9 deg (Mars orbital inclination) x 93.4
90+ 3.4 = 93.4 deg
Data No. (2)
142984 km (Jupiter diameter)/51118 km (Uranus diameter) = 2.79 = 5.56
We remember 31 = (5.56)^2
Data No. (3)
378675 km (Saturn Circumference)/49528 km (Neptune diameter) = 7.6
Also we remember 31/4 = 7.75 (and the difference between 7.75 and 7.6 is 2%)
The data shows the diameters rates depend on the value (π^3 = 31 =) as the masses do
Means- the planets masses and diameters are created rated to one another based on this same value (π^3 = 31 =)
I try to prove that – one energy is found behind all this data- the value (π^3 = 31 =) refers to one energy and this energy is effected by different geometrical reasons and that causes this energy (π^3 = 31 =) to show different rates as (5.56) and (7.6)
Shortly – we deal with one energy reflected three times in the solar system and the planets data are defined by the effect of this energy on them
Please note- we can imagine one river of water moves through different cities and each city deals with the river based on its own data- one city has great soil and this uses the river water to plant vegetables and fruits- another city its ground has many holes and caves the river water will cause all these holes to be filled of water and that will create many moors in this city and that will not be useful for it –
We have here the same picture-
One energy moves through the solar system and reflected three times in it and this reflection causes changes for the planets data for that the different rates (5.56 and 7.6) are created from this one energy (π^3 = 31 =) by geometrical reasons have effects on it.
Group Data No (V)
(1)               243 mkm     = 2.082 mkm x 116.7 days
(2)               17.2 km       = 13.1 km/s x 1.3129 seconds
(3)               16.1 km       = 9.7 km/s x 1.65 seconds
Discussion
We discuss data No. (2) and (3) at first
Data No. (2)
17.2 km      = 13.1 km/s x 1.3129 seconds
13.1 km /s    = Jupiter velocity
1.13129       = (5.25/4) but 5.25 x 1.0725 = 5.56
17.2 hours   = Uranus rotation period
Data No. (3)
16.1 km      = 9.7 km/s x 1.65 seconds
9.7 km /s     = Saturn velocity
1.65             = (5.25/π) but 5.25 x 1.0725 = 5.56
16.1 hours   = Neptune rotation period
The data shows each planet rotation period depends on the other planet velocity based on the rate (5.56) where (31=5.56^2)- that shows Uranus rotation period is connected with Jupiter velocity and Neptune rotation period is connected with Saturn velocity proves that a deep connection is found between each two planets as a result for the wave reflection between them 
Data No. (1)
243 mkm     = 2.082 mkm x 116.7 days
243 days      = Venus rotation period
2.082 mkm =Mars motion distance per solar day  and 116.75 days = Venus day period 
We see also here – Venus rotation period is related to Mars velocity- and this similar to the other planets behavior as we have discussed before 
Notice
Venus (35 km/s) moves in 10747 seconds a distance = 378675 km
Where
378675 km = Saturn circumference
10747 days = Saturn orbital period 
We know that- No direct reflection is found between Venus and Saturn- but the data shows deep interaction is found between them
I want to say
I provide different data to prove my hypothesis tells (The gravitational waves are produced by the planets motions energies and the waves are reflected three times in the solar system and the wave reflection causes to square the wave velocity) for that I put different data trying to prove this hypothesis
But- the real design is much complex than this small hypothesis- because this hypothesis refers to one rule found in the design but the design is consisted of hundreds of rules and by that I provide very narrow vision for the whole truth-
Imagine we examine the artery connected between the human liver and his heart- it's one artery – it's fact and real piece of the human body but it's just one artery of many others- I want to say- the real vision of the solar system is so wide than this one I provide here- that's why the rules are not complete- but I provide strong data can prove my hypothesis and can show a piece of truth about the solar system real design.     
Group Data No (VI)
(1)              
177.4 degrees = 115.2 degrees x π/2
(2)
97.8 degrees   = 31 x 3.1 degrees
(3)
28.3 degrees (Neptune axial tilt) =  26.7 degrees (Saturn axial tilt) x 1.0725
Discussion
Data No. (1)
177.4 degrees = 115.2 degrees x π/2
177.4 degrees = Venus Axial Tilt
 25.2 degrees   = Mars Axial Tilt                   BUT 25.2 +90 = 115.2 degrees
Please note
(12104 km Venus diameter / 6792 km Mars diameter) = 3.4/1.9 = π^0.5
(3.4 deg and 1.9 deg are the orbital inclinations of Venus and Mars respectively)
And
(177.4 deg Venus axial tilt / 115.2 degrees) = π/2
We see clearly the data depend on the value (π^3) and different geometrical reasons have effect on this value to produce these rates (π^0.5 and π/2)
Data No. (2)
97.8 degrees   = 31 x 3.1 degrees
97.8 degrees   = Venus Axial Tilt
3.1 degrees     = Mars Axial Tilt
The data still depends on this same value (π^3= 31)
Group Data No (VII)
The distance 1433 million km
This distance should prove the energy is transported and the waves are reflected in the solar system because this distance is used frequently in the solar system and no explanation for such using better than the reflection of energy – let’s see its data
1433 million km               = Mars Orbital Circumference
1433 million km               = Saturn Orbital Distance
1433 million km               = Uranus Saturn Distance
2 x 1433 million km         = Uranus Orbital Distance
π x 1433 million km         = Neptune Orbital Distance
(π+1) x 1433 million km   = Pluto Orbital Distance
1410 million km               = Pluto Neptune Distance  (with 1433 mkm error 1.7%)
Also
1433 days =  2π x 224.7 days (Venus Orbital Period)
Logically there's a geometrical reason to cause all these distances to be equal and rated to each other based on this same root (1433)- and the wave reflection can be this geometrical reason by which this data is created.  
III- The Explanation Of The Wave Reflection Effect On The Solar System Design
The gravitational waves reflection has great effect on the solar system design- let's refer to this effect in following
The Planets Distribution
The three outer planets (Pluto- Neptune- Uranus) have great orbits- why?
Because the gravitational waves move by velocity 205.8 km/s in these orbits and the planets motions energies are stored in these orbits as waves move by this velocity 205.8 km/s – means – great and massive motion energy is stored in these orbit where the waves move by 205.8 km/s that needed great areas to store so massive amount of energy
BUT
The Waves Velocity Is Accelerated In Saturn Orbit 
This is the important point- because- the interaction between the outer planets caused to reflect the wave in Saturn orbit firstly and this reflection causes to square the velocity and then the velocity is squared and be equal the speed of light – means- the gravitational waves move by speed of light starting from Saturn orbit and continues with this speed till Venus and the other inner planets-
This is very important picture because
The low velocity 205.8 km/s needed great areas that causes the orbits or Pluto, Neptune and Uranus to be so great areas – BUT
The high speed motion (speed of light) doesn't need great areas – that's why the planets orbits from Saturn to Mercury are small orbits and the inner has very small orbits because the energy doesn't depend on the number of waves move by velocity 205.8 km/s but the energy depends on the motion be speed of light by that the energy of 1461 waves move by 205.8 km/s be equal the energy of one wave moves by speed of light – that causes the orbits to be small orbits – and that explains the distribution of the planets from the sun to Pluto.    
And for that
When the massive reflected energy reached to Venus- it doesn't destroy the small inner planets and their orbits because the energy is used immediately to produce the sun rays means no need for storing the energy and for that no places for the energy storing instead the energy is used immediately- I try to show that- the planets distribution depends on the gravitational waves velocity in different orbits and by that the planets create their orbits in harmony with the moving energy    
The Planets Masses Distribution
The outer planets have great masses but the inner planets have very small masses- why? because the difference in masses enable to accelerate the wave velocity in Saturn orbit-this idea is explained clearly in (Mass definition) in my paper definitions
The mass is used as a rate of time and the rates between the great and small masses aim to create the required rates of time and by these rates of time the wave velocity is accelerated- let's explain that in following
Gerges Francis Tawdrous +201022532292
Physics Department-  Physics & Mathematics  Faculty 
Peoples' Friendship university of Russia – Moscow  
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