Math Professor Micho Durdevich proves Noncommutative Pythagorean Quantum natural resonance music

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Micho Durdevich, Serbian mathematician, researcher. Recipient ... professor mathematics, National Autonomous University of Mexico, Mexico City, since 1995.

Durdevich, Micho citing Alain Connes: Pythagorean Quantum Noncommutative Music article: International Congress on Music and Mathematics

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"On the other hand, the ancient Pythagorean musical scales naturally lead to a simple quantum circle. ...By taking the inverses L to 1/1 + L and 1/infinity=0, we can identify M = {0, 1, 1/2, 1/3,...}. The geometrical picture is that we have a circular object, unifying infinitely circular 'oscillating modes.' The limiting oscillating mode is the classical mode....All other modes are purely quantum 'virtual modes,' so we can not distinguish separate fibers over the classical points labeling these modes. The entire structure is a unified and irreducible quantum circle....

"The oscillating modes base space M...will be quantum (noncommutativity of the algebra V)."

"One possibility to deal with such quantum points, is to construct a noncommutative C*-algebra A, which captures the space

Q in terms of equivalence classes of its irreducible representations."

So my claim is now corroborated. published in the book:
The Musical-Mathematical Mind: Patterns and Transformations

Gabriel Pareyon, Silvia Pina-Romero, Octavio A. Agustín-Aquino, Emilio Lluis-Puebla
Springer, Oct 20, 2017
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