#poincare recurrence

[placeholdercornerworks]

Today I made some reasearch and came to the consensus that apparently the average length of a novel is considered to be between 80k to 100k words, if we take the middle ground of 90k, you can still fit 2 novels and a half in poincare

[art-of-mathematics]

Non-linear thoughts about non-linear regression and the Poincare-Recurrence Theorem... what a foggy and dusty mind looping into itself... idk I indulge in nonsense again... #nonsensespiral

[ghelgheli]

robert kurvitz have you heard of the poincare recurrence theorem. i am sure you know about destructive interferences but what about the equiprobability of microstates????????????????????????????????????

[promethes]

the way u singlehandedly influenced me from being a ''blue curtains mean nothing'' bitch to the kind of person who unironically cried while reading about poincare recurrence a few minutes ago

i’m obsessed with you

[phoenix-of-arson]

Did you know that there's this thingy called poincare recurrence where the universe resets itself by flunctuations wayyyy after the dark era which is 1 googool years from now meaning the black holes have evaporated cause hawking radiation? And yet i still can't divide or multiply 🤣

😲 wow

[carolinedbook]

[Download Book] Fantastic Numbers and Where to Find Them: A Cosmic Quest from Zero to Infinity - Antonio Padilla

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A fun, dazzling exploration of the strange numbers that illuminate the ultimate nature of reality.For particularly brilliant theoretical physicists like James Clerk Maxwell, Paul Dirac, or Albert Einstein, the search for mathematical truths led to strange new understandings of the ultimate nature of reality. But what are these truths? What are the mysterious numbers that explain the universe?In Fantastic Numbers and Where to Find Them, the leading theoretical physicist and YouTube star Antonio Padilla takes us on an irreverent cosmic tour of nine of the most extraordinary numbers in physics, offering a startling picture of how the universe works. These strange numbers include Graham's number, which is so large that if you thought about it in the wrong way, your head would collapse into a singularity; TREE(3), whose finite nature can never be definitively proved, because to do so would take so much time that the universe would experience a Poincar? recurrence--resetting to precisely

[perdigao1]

Reincarnation and Poincare

Can reincarnation be proven using physics or mathematics?

Poincaree recurrence theorem may help a little

https://en.wikipedia.org/wiki/Poincaré_recurrence_theorem

Theorem states: If a [phase-space] flow preserves volume and has only bounded orbits, then for each open set there exist orbits that intersect the set infinitely often.

Liouville theorem helps explain. There is this thing called phase space that is used to decribe the evolution of systems, consisting in representing the status of a system with a dot in a graph with xyz and velocity (momentum) coordinates for every single particle. According to Lou, the evolution of phase space volume is preserved.

Can we use the Poincare recurrence theorem as a supporting mathematical proof that reincarnation is possible?

The answer may be yes, IF the universe is finite and universe (phase space) cannot evolve cannot evolve beyond a limit, as stated by the theorem

The Universe is however looks pretty infinite from down here. But that doesn’t stop from being ‘limited’. One theory that makes the Universe limited is the...

Universe cyclic theory: the universe goes through cycles of expansion, contraction, so big bang and ending with big crunch and restart the cycle. Also called oscillating universe theory.

https://en.wikipedia.org/wiki/Cyclic_model

https://www.accessscience.com/content/cyclic-universe-theory/YB090037

If this theory is correct then it may itself impose a phase space size boundary to the Universe.

In order to be able to use the Poincaree recurrence theorem, the boundary must include also electromagnetic radiation and other particles such as neutrinos, that have to undergo the same cycles because they are all part of the phase space. How this can ever be true? Maybe using complicated mathematics that involves proving that the universe is a ‘torus’.

So, if you want to believe in reincarnation through the recurrence theorem, you have to believe in a cyclic universe, and beyond

Oh. needless to mention, how much time the universe needs to evolve to you back again, is a very big number... in seconds, almost infinite.

Another alternative theory that (outside the scope of Poincaree theorem) that reincarnation can be possible, is to be part of a computer anomaly...

https://www.youtube.com/watch?v=cHZl2naX1Xk

...or believe in souls.

[spaceexp]

Quantum recurrence: Everything goes back to the way it was

Vienna, Austria (SPX) Feb 27, 2018 It is one of the most astonishing results of physics: when a complex system is left alone, it will return to its initial state with almost perfect precision. Gas particles, for example, chaotically swirling around in a container, will return almost exactly to their starting positions after some time. This "Poincare Recurrence Theorem" is the foundation of modern chaos theory. For decades, Full article

[placeholdercornerworks]

Tbh there are many gfl moments I wish had cgs or moments I wish were shown differently, like the only thing I can pitch in for "shown differently" is a front view of angelia in the actual moment of ct confrontation and not before cause it would go so hard, but stuff like J discovering the blood splatter at the mansion, a shadowed side view of bram fucking up with Mona, Morri casually destroying narcis, the surgery scene, an actual scene from the fp prayer scene would have been so fucking great

[naivelocus]

Maryam Mirzakhani

I am totally stunned to learn that Maryam Mirzakhani died today, aged 40, after a severe recurrence of the cancer she has been fighting for several years.  I had planned to email her some wishes for a speedy recovery after learning about the relapse yesterday; I still can’t fully believe that she didn’t make it.

My first encounter with Maryam was in 2010, when I was giving some lectures at Stanford – one on Perelman’s proof of the Poincare conjecture, and another on random matrix theory.  I remember a young woman sitting in the front who asked perceptive questions at the end of both talks; it was only afterwards that I learned that it was Mirzakhani.  (I really wish I could remember exactly what the questions were, but I vaguely recall that she managed to put a nice dynamical systems interpretation on both of the topics of my talks.)

After she won the Fields medal in 2014 (as I posted about previously on this blog), we corresponded for a while.  The Fields medal is of course one of the highest honours one can receive in mathematics, and it clearly advances one’s career enormously; but it also comes with a huge initial burst of publicity, a marked increase in the number of responsibilities to the field one is requested to take on, and a strong expectation to serve as a public role model for mathematicians.  As the first female recipient of the medal, and also the first to come from Iran, Maryam was experiencing these pressures to a far greater extent than previous medallists, while also raising a small daughter and fighting off cancer.  I gave her what advice I could on these matters (mostly that it was acceptable – and in fact necessary – to say “no” to the vast majority of requests one receives).

Given all this, it is remarkable how productive she still was mathematically in the last few years.  Perhaps her greatest recent achievement has been her “magic wand” theorem with Alex Eskin, which is basically the analogue of the famous measure classification and orbit closure theorems of Marina Ratner, in the context of moduli spaces instead of unipotent flows on homogeneous spaces.  (I discussed Ratner’s theorems in this previous post.  By an unhappy coincidence, Ratner also passed away this month, aged 78.)  Ratner’s theorems are fundamentally important to any problem to which a homogeneous dynamical system can be associated (for instance, a special case of that theorem shows up in my work with Ben Green and Tamar Ziegler on the inverse conjecture for the Gowers norms, and on linear equations in primes), as it gives a good description of the equidistribution of any orbit of that system (if it is unipotently generated); and it seems the Eskin-Mirzakhani result will play a similar role in problems associated instead to moduli spaces.  The remarkable proof of this result – which now stands at over 200 pages, after three years of revision and updating – uses almost all of the latest techniques that had been developed for homogeneous dynamics, and ingeniously adapts them to the more difficult setting of moduli spaces, in a manner that had not been dreamed of being possible only a few years earlier.

Maryam was an amazing mathematician and also a wonderful and humble human being, who was at the peak of her powers.  Today was a huge loss for Maryam’s family and friends, as well as for mathematics.

  Filed under: obituary Tagged: Maryam Mirzakhani — What's new

[ghelgheli]

I decided against working poincare recurrence into the essay bc it felt a bit too speculatively didactical but perhaps I should have

[pudram]

దీన్నే పరమాత్మ అని నేను అంటాను! Newton solved problem of two gravity bodies interaction. Einstein solved problem of single, local gravity effect. The problem of interaction between three bodies is not solved. We don’t know why Solar system is stable. (by math theories Solar system doesn’t approach any sort of regular behaviour . . . by Poincare recurrence theorem, the Solar system can return to its original configuration again and again only if time stretch on forever, only if time is infinite. Infinite time needs infinite space, infinite energy, infinite mind and an infinite OLD ONE) https://www.instagram.com/p/CP7BacjB2Xk/?utm_medium=tumblr

[arxt1]

Recurrence analysis of spinning particles in the Schwarzschild background. (arXiv:1903.00360v1 [gr-qc])

In this work the dynamics of a spinning particle moving in the Schwarzschild background is studied. In particular, the methods of Poincar\'{e} section and recurrence analysis are employed to discern chaos from order. It is shown that the chaotic or regular nature of the orbital motion is reflected on the gravitational waves.

from gr-qc updates on arXiv.org https://ift.tt/2GZpCuI

[talkingaeons]

OXENFREE “The Sunken”

The Sunken are the hive mind-like main antagonist of Oxenfree. They were once the 97 people aboard the USS Kanaloa, including 85 officers and 12 army passengers.

The Kanaloa was sunk by friendly fire on October 25, 1943, causing the experimental nuclear reactor contained within its hull to implode, sending its 97 crew members to their deaths and causing them to be, as Maggie Adler states, “separated from our dimensional existence”, which is to say, they were trapped in a parallel, void-like dimension outside of time and space. Maggie also goes on to say in her eighth note that she believes that the Kanaloa crew’s mental states had been “reduced to that of children.”

The cause of how they can actually make time and space a “closed system” like they did is still unknown why i’ve been calling it closed system simply because i think that time and matters is not a closed system because they actually have infinite possibilities, although in this case they can make it a closed ones.

If time is infinite and matters is finite then it present the possibility of everything was destined to repeat exactly over and over again. 

The best example we could come up with is this… the lottery seems almost impossible to win because the odds are so staggering. But if the odds are one in ten billion to win, and you hold all the possible numbers (the infinity of time vs finite number of matter) it’s inevitable that you will win. Correct? So, if time is infinite (so it’s holding all the numbers) is it not inevitable that eventually everything will have to repeat due to a limited amount of options? No matter how many quadrillion of quadrillion aeons need to pass for things to find themselves in the same orientations and states electrically, all options would have to be cycled through and eventually exhausted. And once that happens some repetition of some kind has to start because all the possible combinations would have existed already?

Although that this theory was rejected by the Poincare Recurrence that said the ide is that if a closed system has only a finite number of possible states then it must eventually return to a state that it has been before 

However the universe is not a closed system with a finite number of states and the recurrence theorem does not apply to it. For example the average density of the universe is decreasing with time. The observable universe will never return to a state just like its state right now because its density will never again be as high as it is right now. So the answer is that no the universe will not eventually repeat.

There are a couple of complications that I suppose we ought to mention. I have assumed that the universe will expand forever, but there have been suggestions it could eventually recollapse and my even oscillate in some cyclical fashion. However the physics behind these theories is so speculative that it’s hard to say anything concrete about them.

It’s also suggested that if the universe is infinite there will be repetitions in space (rather than time). For example if you travel far enough you’ll find another copy of yourself. Again, while these ideas are fun the physics behind them is not convincing enough for most of us to take them seriously.

https://physics.stackexchange.com/questions/183534/infinite-time-vs-finite-matter-and-energy

http://oxenfree.wikia.com/wiki/Characters

[neonjackson]

In a very long time, it is likely that we'll be right back where we are today.