This is an excellent overview on Alain Conne's noncommutative geometry analysis of a unified model for particle physics.
Now my reading of it is from the perspective of Conne's music theory lecture. So this pdf explains how the triple spectral (frequency) action creates the limiting operator on the non-local substrate of reality.
So just as with Louis de Broglie's Law of Phase Harmony, there is a breaking of Lorentz Invariance (relativity symmetry):
So now the key question is how does this relate back to music theory. When I had my "spat" with Nobel physicist Brian Josephson it was in regards to his claim that I did not realize that for G to C as 3:4 (harmonic series) this is because the octave is geometric by doubling (not a linear increase). So as math professor Luigi Borzacchini points out - the key issue here is the conversion of linear ratios as numbers into geometric ratios and that music theory was the secret of how this conversion was enabled. But then, as Borzacchini emphasizes, this music theory origin was covered up as "the secret of the sect" that he called "really astonishing" and "shocking."
So then as I pointed out, with Professor Richard McKirahan analyzing the translation of Philolaus, there indeed had to be a bait and switch of the 3/4 value to turn it into geometric magnitude. So the frequency spectral of 2/3 as 8/12 is then converted to 6/8 as 3/4 (wavelength) based on 6 being the octave as 2 of 0 to 12 as the 1. And then the 6 is converted to the new "1" as the 3 so that 0 to 8 as the 1 now has the 2/3 of 8/12 as the octave value of 0 to 8. So to double the 2/3 as 8/12 is really to halve the wavelength as 8/6. Since 6/8 is the frequency this is then the subharmonic of 8/6 wavelength, whereas previously the wavelength is also the denominator of the frequency.
OK so that is the "bait and switch" process to then create 8/6 as geometric magnitude as 4/3 to ADD to 3/2 as 8/12 (now geometric magnitude) so that you get 1/2 as 6/12 as geometric magnitude.
So what is required for this triple spectral frequency to create geometric magnitude as a limiting factor is to have the noncommutative phase or "bait and switch" reversal of 0 and 1 - with the value of 0 and 1 changing based on the octave of the 2. In other words, as Connes points out, 1 plus 1 does NOT equal 2 when it comes to noncommutative phase math. haha. One time this socialist activist asked me: But you believe 1 plus 1 = 2 right? I said no, due to noncommutative geometry. He had no idea, of course, what I was talking about. But he was definitely surprised!! haha.
And so only Alain Connes has pointed out that music theory is indeed noncommutative phase logic whereas if you study music theory this logical truth is covered up. So to get back to the harmonic series, some sources will state, like Brian Josephson pointed out to me, that 3:4 is G to C. But other sources will emphasize that indeed 3:4 can not be part of the harmonic series since when you put the music interval of 3/4 back into the "same octave" then it has to be C to F, not G to C. And I have cited a musicologist who quotes Archytas for this truth. In other words for the Harmonic Mean x Arithmetic Mean to equal Geometric Mean Squared then ONLY 4/3 can be C to F and C to F can NOT be 2/3.
So essentially Archytas took Philolaus's bait and switch math and then turned it into an algorithm of commutative geometry. Now if you take Philolaus's analysis and just acknowledge the truth of what he is doing, then essentially you do have the real Pythagorean tuning. For the real Pythagorean tuning we just have to rely on what the Chinese did, which is not "divide and average" the ratios (as Philolaus tried to do) but instead just rely on the 3/2 and 4/3 inversion process. This is detailed by Professor Patrick Edwin Moran.
OK so what Connes is arguing is that this process of noncommutative phase logic from music theory literally enables a unified field physics - and the pdf I posted just gives the details. But they are still converting back into commutative math and then stating that this also explains the UV and IR divergences in the commutative math.
What my point is - what a new research paper on global warming argues is - that the CO2 quantum resonance frequency of infrared light - and the Ozone UV resonance frequency of light - these two factors are not enough on their own. There is also a "divergence" due to Photon Pressure as a change in the Earth's atmosphere due to the change in the chemical structure. So it's not just the quantum frequency but also a relativistic Pressure of light - the relativistic mass of light - that is building up the heat on Earth.
And so my point has been that global warming itself is due to the externalization of this noncommutative phase logic. The technology that developed based on the logarithmic math and its inverse exponential function (and so the continuum with continuity of the calculus, etc.) - this is all due to covering up the noncommutative phase logic from music theory - the Triple Spectral Action.
And so when Spectral means frequency it also connotes Spectre as biophoton Ghost spirit. In other words the photon quantum frequency absorption is a mass psychological projection due to ghost pollution from the wrong logarithmic math. Our left brain dominance and right hand tools cut us off from maintaining the true IR-UV quantum frequency potential of life on Earth to absorb and store the CO2, to maintain the 100,000 yearly cycle of the Ice age and warming (from the backwards wobble of Earth).
In other words the truth of ecological harmony IS the truth of noncommutative phase logic. So now the noncommutative phase science is going backwards, reverse engineering the commutative classical science, to explain the same paradoxes that had to rely on the creation of quantum physics in the first place. But those paradoxes would never had existed if the commutative math, the "bait and switch" lie had not been created in the first place, with its subsequent inbalance of the UV-IR energy absorption in the atmosphere on Earth. In other words the mathematical divergences of the classical commutative physics are now directly mirrored in Earth's ecological imbalances.
So when people try to claim that abrupt global warming is real but it's not caused by Humans - well in some case this is true. It is caused by the wrong Metaphysics of humans - by the "deep pre-established disharmony" as Borzacchini calls it, that secretly is the "guiding evolutive principle" of science.
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