"We conclude noncommutativity induces entanglement" - Catarina Bastos
Yes, "time crystals" are often described as a form of perpetual motion, a new phase of matter that can oscillate between states infinitely without requiring external energy input, defying classical thermodynamic laws
2023-4
We argue that time crystal properties naturally arise from phase-space noncommutative quantum mechanics. In order to exemplify our point we consider the 2-dimensional noncommutative quantum harmonic oscillator and show that it exibihits periodic oscillations that can be identified as time crystals....On general grounds, our results show that the non-stationary behaviour associated to time crystals, arises entirely from either position (q) or momentum (p) noncommutativity, i.e., from [ˆqi, ˆqj ]̸ = iθϵij and/or [ˆpi, ˆpj ]̸ = iηϵij , with no need of an ab initio hypothesis of spontaneous
breaking of time translation symmetry. ...We argue that the emergence of a non-stationary behaviour, and its connection with time crystal properties can be explained in terms of both position and/or momentum noncommutativity in the phase-space [1], in opposition to the ab initio breaking symmetry assumptions proposed in Refs. F. Wilczek, Phys. Rev. Lett. 109, 160401 (2012). [3] A. Shapere and F. Wilczek
Orfeu Bertolami1,2
1 Departamento de F´ısica e Astronomia, Faculdade de Ciˆencias, Universidade do Porto,
Rua do Campo Alegre s/n, 4169-007 Porto, Portugal
2 Centro de F´ısica das Universidades do Minho e do Porto, Rua do Campo Alegre s/n,
4169-007 Porto, Portugal
and
A. E. Bernardini
Departamento de F´ısica, Universidade Federal de S˜ao Carlos,
PO Box 676, 13565-905, S˜ao Carlos, SP, Brasil.
I made this point maybe seven years ago? Glad to see it is now published.
Thus, we hope that our discussion in the context of the 2-dimensional noncommutative quantum harmonic oscillator might stimulate further attempts to experimentally test such a fascinating phenomena as time crystals. In fact, recent claims on the observation of continuous time crystal behaviour in quantum processors [51, 52], atom-cavity system excited by photon oscillations [53] and in an electron-nuclear spin system [54] show that there is a vivid interest in searchimg for concrete experimental evidence of time crystals in Nature.
https://ecoechoinvasives.blogspot.com/2017/05/beginning-of-time-finally-proven.html
Yes I promoted the time crystal as being noncommutative in 2017!!
I got over 250 "clicks" or views on that blog post....
Death-defying time crystal could outlast the universe
So obviously science is putting this in terms of quantum computing.
He reckons a hypothetical device he calls a time crystal could power a computer that would keep on running long after everything else has succumbed to the pull of entropy.But in fact this noncommutative phase space was always already there - it is what creates the universe in the first place!!
They cite Alain Connes as I also cited of course. hahahaha
noncommutative quantum teleportation
The mystical formula and the mystery of Khronos Orfeu Bertolami
Clearly, these relationships have an absolute and global nature given the
independence of the velocity of light on the velocity of the frame of refer-
ence; however, special relativity makes the concept of an absolute simultane-
ity impossible and thus the idea of an universal present. Of course, as already
mentioned, this together with the fact that time flows at different rates for
different observers and that likewise, the perception of space is also tied up
with the relative motion of different observers, drives one away from New-
ton’s (1643 - 1727) conception of absolute time, defined in the first book of
his Principia Mathematica in 1687: “Absolute, true, and mathematical time,
in and of itself and of its own nature, without reference to anything external,
flows uniformly and by another name is called duration”.
The insightful formulation of Minkowski allowed for a straightforward gen-
eralization and that was the path followed by Einstein (1879 - 1955) from
1907 onward after realizing that Newtonian gravity did not fit within the
framework of special relativity.
However, one should keep in mind that general relativity contains ge-
ometries which defy the very core of physical reasoning. Indeed, the exis-
tence of closed time-like curves contradicts the essential features of causal-
ity and chronology. Moreover, singularities, unavoidable in general relativity,
once closed time-like curves are absent and geometry is set by well-behaved
matter-energy configurations, imply that geodesics cannot exist in the whole
space-time.
The referred condition on matter-energy is fairly specific as in the Hawking-
Penrose singularity theorems and is tied up with the physical nature of a man-
ifold [11].
Notice that if the number of time dimensions is greater than one, one expects all type of complications as, on quite
general grounds, the Partial Differential Equations that describe the physical
phenomena are ultra-hyperbolic, which leads to unpredictability, or in weird
“backward causality” (see e.g. Ref. [12] for a discussion)
Wow her Ph.D. on noncommutativity is the secret of black holes and cosmology!
Hi Professor Orfeu Bertolami: Did you realize that
our Anthropocene ecological crisis is due to modern science as based on
commutative geometry? I made a blog post in 2017 that the secret of the
eternal time crystal is due to noncommutativity. My quantum physics
professor Herbert J. Bernstein invented the "superdense" quantum
teleportation system as based on the noncommutative nonlocal donut! You
published a paper on the mystery of nonwestern philosophy and this is
also noncommutativity! I'm glad we can agree and that your protege is in
charge of Europe's cybersecurity!
All the best,
drew hempel, MA
p.s. I finished my master's degree by going intensive nonwestern meditation with qigong master Chunyi Lin of http://springforestqigong.com so I experienced a permanent psychophysiological transformation along with experiencing spiritual phenomenon.
I also got arrested 8 times doing environmental justice activism.
Take care,
drew
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