Mark your answer is fascinating but you did not mention the Bernstein-Aharonov-Susskind Effect that proved spin can be observed through a diffracted nonlocal neutron that has no charge! Study Professor Basil J. Hiley, the collaborator of David Bohm and you’ll discover that spin is inherently noncommutative, nonlocal and asymmetric - the matrices math you refer to in physics originates from the “transition frequencies” of the Ritz-Rydberg properties, as discovered first by Heisenberg (and his teacher Max Born had Pascual Jordan develop the matrices math for it). Professor Hiley explains that quantum physics has relied on the wrong “algorithm” of the wavefunction of Schroedringer - and Louis de Broglie originally was critiquing relativity. My own physics professor Herbert J. Bernstein emphasized that everyone should take quantum physics as their first physics course otherwise they are brainwashed by the wrong classical physics foundation of reality - and this classical physics is based on the wrong commutative geometry as Alain Connes has pointed out. Our current ecological crisis is due to gravitational entropy being the opposite of the entropy of matter with gravitational potential entropy originating from quantum negentropic asymmetric noncommutative time-frequency as Nobel Physicist Roger Penrose explains.
The last sentence is completely not understandable for common layman. Would you explain it to the wider public?
thanks for your question. Modern science, based based on commutative geometry, has created technology as an attempt to decrease the entropy of matter. Since Roger Penrose explains gravitational entropy is the opposite of the entropy of matter and gravitational potential energy originates from quantum negentropy that is noncommutative, therefore commutative geometry based science has increased gravitational entropy on Earth. For details see the Physics Today 2022 article on the thermodynamics of global warming that explains it’s due to photon entropy. https://pubs.aip.org/physicstoday/article/75/7/30/2848581/Thermodynamics-of-the-climate-systemTo-understand
So if you watch Roger Penrose’s numerous youtube talks - he mentions in passing that he doesn’t think modern society will survive abrupt global warming. Penrose also points out his latest science, “palatial twistor model,” relies on noncommutative time-frequency as nonlocal protoconsciousness for the foundation of reality. This means that as Penrose points out mass originates from frequency but negative frequency is noncommutative nonlocality as precognition - see Penrose’s most recent youtube talks on the “Science of Consciousness” conference channel for details.
https://www.youtube.com/watch?v=mEnyLhmOB2E&t=1642sNow consider Professor Basil J. Hiley’s response to Penrose explaining that due to noncommutativity there is no need for the quantum measurement problem since there is no quantum wavefunction, rather the noncommtuative nonlocality self-amplifies into the macroscale in quantum biology.
https://www.youtube.com/watch?v=Jl5RrZ4LEGg&embeds_referring_euri=https%3A%2F%2Femmy.network%2F&source_ve_path=Mjg2NjY&feature=emb_logoSo because science misunderstood noncommutative at its foundation with commutative geometry developed from the wrong music theory by Archtyas and Philolaus - and then promoted by Plato - we have created our ecological crisis on Earth. Fields Medal Math Professor Alain Connes explains that indeed the proper understanding of physics is noncommutative that arises from the proper understanding of music as noncommutativity.
https://www.youtube.com/watch?v=ODAngTW8deg&t=240s
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