So at the VERY end of his lecture he goes into what he states below. Amazing. He's basically saying you don't need the "collapse of the wave function" but instead you can stay in the noncommutative algebra. Awesome!!
Lecture by Basil J. Hiley - September 2021
https://emmy.network/mindandmatter.html
Professor Basil J. Hiley: Can you respond to this below email quote
from Dr. Ruth E. Kastner - for me please? I just got this response
from Dr. Ruth E. Kastner. I just watched a lecture by Alain Connes on
the noncommutativity math of the inner matrix factorization. She is
claiming it has no physical value and it's only mathematics. So I said
that I thought the "weak measurement" experiment proves that
noncommutativity is indeed the origin of symmetry breaking (and not due
to the collapse of the wave function)....
Thanks,
drew
I'm not familiar with the idea of getting symmetry
breaking from noncommutative math, but math alone is not physics.
Dr. Ruth E. Kastner email response to me - quote, Feb 22, 2022
Referred to by Professor Hiley - below:
Dear Drew,
It
is difficult to comment authoritatively on Ruth’s paper as I have not
had time to read it carefully. My own venture into weak values was that
they provided a means of measuring transition probability amplitudes.
That means they are providing a way of further exploring the quantum
formalism but adding nothing fundamentally new. In this regards I agree with Ruth and the two referees.
I
do not know what Alain Connes was specifically talking about. However
non-commutativity is deeply ingrained in quantum phenomena and is not,
in my opinion, “only mathematics”. The early pioneers of QM, such as
Heisenberg, Born, Jordan, Dirac and others showed this feature of
non-commutativity in great detail. It was Schrödinger’s work that led
to the development of a tremendously successful algorithm based on the
notion of a wave function which was formalised into the bras and kets
that we have got very very used to manipulating. However by identifying
the wave function with the 'state of a system’ we have been left with
the unsolved ‘problem', the collapse of the wave function. After one
hundred years of effort we have been unable to 'solve this problem’. In
the last few years I have come to the conclusion that this is
unsolvable simply because it is the wrong question as it is based on
treating an algorithm rather than a description of an unfolding process.
That
the quantum formalism was an algorithm was Bohr’s position all those
years ago, but he argued that we could not go deeper by attempting to
analysing the process because of the 'Principle of Complementary’. This
philosophical principle seemed to have universal appeal outside of
physics but now, he argued, with the advent of quantum phenomena, this
principle also had a role to play in physics, so to Bohr, the principle
became a universal principle that applied to all knowledge.
The
availability of the ‘algorithm’ which was easy to manipulate and lead
to experimental verification should be contrasted with the difficulty in
understanding non-commutativity, both mathematically and conceptuality.
Furthermore it was very difficult to apply it physical problems. Thus
the algorithm becomes the ‘only game in Town’ as we learn how to deal
with its uncomfortable features. Then there follows an attempt to make
the formalism in to an ontology and the result is a plague of interpretations.
I
have recently published two papers which address directly the challenge
of providing a description of this ‘quantum unfolding’ as Dirac puts
it. It is a very different approach which is based on an exploration of
non-commutative geometry, in the same spirit of Alain Connes but using
more physical intuition. It is a long story but I have a lecture on
line at <emmy network> which may help. My lecture is Lecture 2
immediately after Roger Penrose’s lecture in the series ‘Mind and
Matter’. My lecture was about 'Matter’ not ‘Mind'!
Enjoy,
Basil.
|  4:19 AM (1 hour ago) | ||
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Thank you so much for this wonderful response. I actually was reading those two papers of yours last night. I had previously been reading a paper on Pascual Jordan. It is strange that he seems to have emphasized the importance of noncommutativity first but his math didn't really work out. Then only after spin was realized to be relativistic Jordan was able to gloat about the noncommutativity. What was the quote - it's kind of funny actually.
"Yes, wasn't that neat? That was a success, wasn't it? That was pretty that that worked out, that one could do it this way, a sensibile generalization of p and q."
https://arxiv.org/pdf/1204.6511.pdf
That was in an interview with Kuhn - or a couple interviews. So Kuhn was reminding Jordan about how noncommutativity had worked out to explain spin.
I had no idea about those recent lectures of you and Penrose! That's AWESOME.
I did find a few more articles on noncommutativity and relating it to the Aharonov-Bohm Effect and also weak measurements.
I also found my letter to my parents when I was 18 years old. I took quantum mechanics from Professor Herbert J. Bernstein who is now having his "donut" superdense quantum teleportation satellite system tested by NASA. So I had realized there was a logical connection to 720 degree spin or the Dirac Dance that Bernstein demonstrated in class - a logical connection to music theory. I actually looked so shocked when he explained quantum entanglement with the Dirac Dance that he called me out by name in front of the class and he was laughing at my facial expression. haha.
In high school I studied music privately with a former University music professor. I had noticed that 2/3 as C to F undertone was a Perfect Fifth yet it was not allowed in the Western scale while 3/2 as the C to G overtone IS allowed. Logically I knew this was not correct since both were a Perfect Fifth! My music teacher explained that it was because of the logarithms. But then I read Sir James Jeans book "Science and Music" wherein he describes that the "infinite spiral of Fifths" from Pythagoras is empirically correct! I literally told my piano teacher (his wife) that I thought the Pythagorean music theory enabled a harmonization of reality.
So this led me into nonwestern meditation as I had discovered by 1996 that "yin" was the Perfect Fourth as 3/4 and "yang" was the Perfect Fifth as 3/2. It was only when I discovered Alain Connes talking about music - in his "Triangle of Thought" book of 2001 - that I realized there was a direct connection to quantum physics indeed via the noncommutativity. I still wasn't sure if Connes was being metaphorically. haha. I had already postulated this in 1996 and I got into graduate school based on my monograph that I had entitled, "The Fundamental Force" - and it featured a diagram of a Bloch magnetic bar with the geometric twist. At that time I called it "complementary opposites." So I knew the correct concept but I had NO idea this was about noncommutatiivity. haha. My master's thesis was then a scrambled hodge-podge since I did not know of the science concept of noncommutativity.
So Connes gives his "Music of Shapes" lecture on music theory - and that really corroborates my claim now! Only I still was undersure about the math involved. So recently I found his discrete spectral talk geared to physicists - and he mentions his Ph.D. work into thermodynamics and von Neumann's Type II noncommutative factorization of the inner matrix cross-products.
So in Connes' talk he actually gives the "Music of Shapes" logic as well and states how the Type I factorization of the Hamiltonian allows both types of shapes but not the Type II. And he even states it's based on the "three notes" of the piano and the "third" note is the Type II. This is referring back to his Pythagorean discrete ratio argument in his "Music of Shapes" talk. When I looked at his math I realized the Type I was the "double octave" - this is literally how Philolaus "flipped '' his lyre around to hide the noncommutativity. It is only by listening to the same "root tonic" or the "one" that we maintain the noncommutativity. Or as Connes explains - the Type II factoratization is the true infinity, what he calls (2, 3, infinity) while the type I factorization is just "O to 1."
So the Type II factorization is how the Pythagorean Perfect Fifths are listened to as a multiplicative ratio so that 2 to the 19th is almost equal to 3 to the 12. Then the inverse of the exponential is noncommutative such that 3 to the (1/12) is almost equal to 2 to (1/19th). This is an infinite process since they are noncommutative.
So then I discovered Connes' "actual music proof" in his larger book - because he argues that this noncommutative geometric music spectrum as a conjugate has a geometric dimension of zero. So this is due to the imaginary number with the wavelength derived as an "inverse frequency." And since it's a discrete spectrum based on spin therefore the convergence is greater than 1 as an inverse wavelength and therefore the inverse exponential is strictly always less than any positive number: a geometric dimension of zero.
So he says despite having a geometric dimension of zero it has a positive volume based on frequency and time - and this would be the quantum potential as a "new inner force" as you refer to - that is infinite, nonlocal and noncommutative and due to the spin as a relativistic quantum unification.
I can assure you from my meditation training that relied on this "infinite spiral of fifths" - called the "small universe" meditation of 12 "notes" along the body and mind - there is indeed accessed a nonlocal "protoconsciousness" that is both inside and outside the body as an ether - just as Olivier Costa de Beauregard had argued was "de facto" true. And indeed this protoconsciousness is based on precognition or "reverse time" and also it enables absorbing virtual photons - and there is an increase in photons in the body.
A spiritual master actually creates new spirits for people - that goes into the body of the person needing to be healed. But amazingly those "spirits" are each individualized to heal each person's body to it's perfect heatlh. So in other words it's a kind of "soul" healing based on the magnetic moment of the virtual photons. The process of creation is impersonal and via this noncommutativity logic. I saw this spiritual healing process personally when I did intensive meditation with http://springforestqigong.com to finish my master's degree. My teacher has worked extensively with doctors from the Mayo Clinic, considered one of the premiere "research" hospitals in the world - here in Minnesota.
So Connes' big point is that because the noncommutativity is unobservable therefore it is an infinity that enables this nonlocality. Yet the research of Stuart Hameroff and Penrose, corroborated by Anirban Bandyopadhyay, and my own research into the quantum biology of noncommutative music, describes a process of internal listening that enables a macro quantum coherence due to noncommutativity. So while the "formless awareness" remains unobservable it is possible to observe the virtual photons being absorbed! This is what is called "wisdom" or prajna in Buddhism or "Nirvikalpa Samadhi." So the person meditating is maintaining a "zero point" in geometry yet also resonating the 5th dimension of time-frequency "force."
Eddie Oshins was making this argument explicitly in his work at Stanford Linear Accelerator Center. Oshins taught "Wing Chun" of Bruce Lee fame but Oshins realized that all the "internal martial arts" training as "neigong" or paranormal spiritual internal "listening" - it's called "Ting" in Daoist training - this is due to noncommutativity. So the Dirac Dance in Daoism is explained as the outside hand being yang and inside hand being yin while the lower body is yin and upper body is yang. Eddie Oshins details this - as the Dirac Dance - so that the yang outside hand faces the yin lower body and vice versa.
That's just one example of an actually very advanced "science" of meditation based on noncommutativity as a total mind-body transformation training as detailed in the book Taoist Yoga: alchemy and immortality - a free pdf.
Essentially we all have this quantum potential inside us and this meditation is just harnessing the quantum potential via turning our light around - our internal laser coherent biophoton energy.
Well the "three gunas" in India is also based on this same music theory noncommutativity and there is also the same 12 notes meditation as the "infinite spiral of fifths" in India - found in the "Kriya Yoga" tradition.
I tried to get this information published but I had too many quotes from Connes and yourself and also the readers had no grasp of music theory nor of noncommutativity. haha. And of course as you point out - the potential of the paranormal scared away those wanting to be seen as "hard scientists." haha.
This is where Connes is really special because his mom was a piano teacher and he started out doing music training at five years old. It's proven that early music training causes a significantly increased corpus callosum that connects the right and left brain. Your upbringing in India may have had similar effects due to the culture there focused on music as a type of meditation.
I gotta get back into meditation now as my teacher says I think too much. haha. Yet I am planning on having a book published on this topic.
Thanks again,
drew hempel
p.s. My master's thesis was also on "radical ecology" and I think Penrose's reference to gravitational entropy as the basis for quantum biology also explains why standard "commutative" algebraic geometry has caused the ecological crisis on Earth. I got arrested eight times protesting and I also did a lot of policy activism - stock divestment, boycotts, etc. Yet I realized we were doomed and there was a deeper cause to the ecological crisis.
is how the article got published - with some 30 images - and I quote you a lot. haha. Along with Connes.
Thanks again,
drew
p.s. so the "geometry of zero dimension" I know realize is the Type II factorization based on the imaginary number. I will have to study that more. What Connes did in music theory is the "quotient" of the inverse logarithm is then the Perfect Fifth or (3/2) to the (1/7) based on subtracting the (1/19 - 1/12).
Sorry I kind of dropped out of math and science when I realized the Pythagorean Theorem was really from the wrong music theory! haha. Actually math professor Lou Kauffman has a noncommutative Pythagorean Theorem proof that he sent me - it's still unpublished I think. I noticed that the rational ratio approximation of the Pythagorean Theorem led to a solution of a 1, -1, 1, -1 iteration and this is the same iteration that Professor Kauffman uses to derive the imaginary number as a noncommutative algebraic process of "primordial time."
Thanks again,
drew
Publication date:
2015-10
Author:
Reybrouck, Mark
Keywords:
real-time listening, perceptual experience, phoronomy, deixis
Abstract:
Music has been studied traditionally as a static structure, representing the music at a symbolic level without any connection to its sounding qualities. Musical sense-making as a perceptual experience, however, reflects the sonorous articulation through time with continuous allocations of focal attention by the listener. There is need, therefore, of a theoretical framework for sense-making of the music-as-heard. Starting from theoretical groundings and empirical findings, this contribution argues for an enactive approach to real-time listening by mentally tracing the sonorous unfolding in a virtual space. Revolving around the conceptual framework of deixis, which locates things or events in context by mentally pointing to them, it refers to the referential exchange between the listener, considered as a (moving) origo, and the music. The act of pointing can be focal or extended in time, as exemplified in the gestural approach to musical sense-making. An attempt is made to elaborate on this gestural analogy by introducing the idea of phoronomy, which emphasizes the act of mentally tracing a geometric form, and by bringing it in relation with the morphodynamical approach by Schaeffer and Smalley, as a conceptual tool for the description of the experience of continuity. In order to maximize these opportunities, however, there is need of analytical tools for visualizing both the music as a distributed substrate and the mental tracings of the listener. Much is to be expected here from spectrograms with continuous and analog annotation tools that highlight the pointing gestures of the listeners, both in an automatic and listener-driven way.
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