Alain Connes proves Riemann Hypothesis: Pythagorean noncommutative rational time zeros prime numbers

Commentary on this Alain Connes lecture:
"There is a very strange thing, there is a thermodynamics of noncommutative spaces...they are not static objects...
It's a topos which should be very natural to a musician. Because it's a topos where you have a positive line, the line of frequencies you know, when you multiply frequency by two you go to the next octave and it's very nice for the ear. When you multiple by 3r you transpose and so on. I mean the action of the integers by multiplication on the frequencies is extremely natural."
scroll way down for more details.
Alain Connes Dance of the Primes Pythagorean music math
Interview with Connes
"For a rotation whose two rotation angles have a rational ratio, the paths will eventually reconnect;"
So that is how the time wavelength is derived - from the rotation angles on the noncommutative torus rotation as the "zero point" in space.
Debate with Alain Connes on the truth of mathematics as the truth of reality.
Alain Connes clearly positions himself on this terrain when he insists upon the reality of mathematical idealities, for example, in the case of prime numbers, the infinity of which is "a reality every bit as incontestable as physical reality" (p. 13).
"prime numbers (...) constitute a more stable reality than the material reality
that surround us" (p. 12)
"every bit as constraining as physical reality, but one that's far more stable than physical reality, for it is not being located in space-time" (p. 28).
This is so wild!!!
"mathematical reality, in its very structure, its internal harmony, is an inexhaustible source of organization" (p. 125).
Motivic Rhythms paper, 2020

[voidisyinyangvoidisyinyang]

There are remarkable interrelations, both cognitive and theoretical, between pitches and rhythms
which are well documented in the literature (see [10], [11]). We have chosen to keep the rhythmic
part totally independent of the choice of a collection of pitches associated to primes discussed
in the next section. The first reason to maintain this independence is that the motivic rhythms
apply to the playing of any score with the right number of notes and palendromic property. The
second reason is to stay in accordance with the mathematical origin of the time onsets which
would be lost if they were reinterpreted in terms of frequencies.
3 Basic score
The motivic rhythms coming from a curve C depend on a prime number and since one has the
freedom to choose the pitches of the palindromic song which will be rhythmically interpreted
by the motive, one finds that one needs to associate a song i.e. here an ordered collection of
5 notes (which will yield a total of 10 notes by symmetry) to each prime number (here those
between 7 and 67). What matters is that the notes associated to the primes allow one to recognize
which prime it is. One may try at first simple methods like the name of the prime in a given
language but this is obviously far from "canonical". To obtain a canonical process one needs
to use the information coming from the well-known mathematics behind the frequencies in the
usual musical scale which are given by the integral powers of the number q := 2 to the 1/12 (which
is numerically close to 3 to the 1/19 ). In this section we describe how we obtain from a mathematical
formula a palindromic score of ten notes for each prime between 7 and 67. The idea is that the
score associated to the prime p should be related to the number √p because the motive is of
weight 1/2 . This weight of the motive corresponds to the shrinking size of the circle where the
zeros are as shown in Figures 10... 14. The inverse radius of this circle is √p. Moreover since the
musical scale is the set {qn} of integral powers of the number q := 2 to the 1/12 it is natural to start by the
integral power qn1(p) which is the closest to √p. This corresponds to a pitch naturally associated
to p.

[Amanda-vclp]

I honestly have no understanding about what you are trying to explain drew, but your voice has a calming rhythm and tone.

[denistremblay]

Thanks very much....You re-initiated my interest in these questions...For me the only absolute or non relative fact in the universe is prime numbers distribution ... And anyway the prime distribution is more complex than the physical universe itself...