In the papers below and earlier papers, I show how non-commutativity alone gives rise to much of the architecture of physics.
This mode of thinking about non-commutativity is key to thinking about how quantum and classical mechanics are related to one another.
Traditionally this hat to do with the relationship of Poisson Brackets and commutators. But we are taking a new look at this through the lens of
general non-commutative algebra.
Traditionally in physics non commutativity is central to quantum mechanics and in more than one way - via symmetries and Lie algebras and via the
noncommutative of operators in the theory. These researches show that the roots are deeper than that and that they are related to the interrelationship
of the continuous and the discrete.
Very best,
Lou Kauffman
|  10:52 AM (3 hours ago) | ||
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well actually I discovered a secret from music theory - when I was 15 years old - and turns out that Fields Medal (harder to get than Nobel Prize) math professor Alain Connes also explains this secret in his youtube lecture, "Music of Shapes."
It's called "noncommutativity" in science. Basically the future and past overlap as an asymmetric or complementary opposites eternal flowing. We can listen to the future via meditation and then absorb the virtual photons. This was also discovered by Nobel Physicist Louis de Broglie who called his "Law of Phase Harmony" his "greatest discovery" (ironically it's not taught in physics classes). Essentially as a particle goes towards the speed of light due to quantum physics the momentum is directly proportional to the frequency.
Ever since Pythagoras realized that frequency is inverse to time in music theory then this created a paradox because in relativity the time as wavelength also gets bigger or slows down as the particle goes towards the speed of light. de Broglie realized that logically this forces the answer that there HAS to be a "guiding" wave from the future that is secretly guiding and harmonizing matter. So this is why precognitive visions are more lucid and more real than being awake! You can read Ph.D. psychologist Christina Donnell - her award-winning book on precognitive dreaming is called "Transcendent Dreaming." Yes the "formless awareness" or this noncommutative ether inherently can not be seen - but only listened to or logically inferred.
Since Plato our modern Western science has been based on the "Liar of the Lyre" - whereby Philolaus flipped his lyre around to create "irrational magnitude" commutative geometry - made into an axiom by Archytas and promoted as Alogon physics and math as Platonic philosophy. This means "Time is the image of eternity" in Platonic philosophy as this supposed symmetric invariant Platonic realm of pure math. Einstein realized though that Heisenberg noncommutative algebra was the true ether - and therefore required rejecting the continuum of spacetime. Both Professor B.G. Sidharth (who predicted the dark energy acceleration of the Universe) and Professor Basil J. Hiley (who collaborated with David Bohm on the truth of quantum physics) have quoted Einstein on his acknowledgment of Heisenberg algebra as the truth of reality. Heisenberg had discovered that the absorption spectrum of light is noncommutative time-frequency.
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