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Alain Connes: the passing of time is due to our partial knowledge b/c we don't have the full system
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Alain Connes: "The motivation is much much stronger...It's an extremely Strong, that's why this is the first time that I give this talk, you see, I mean, the idea is the following, the idea is that the passing of time is due to our partial knowledge, essentially, because we don't have the full system." 41 minutes into his 2015 talk to physicists
Alain Connes - Temps et aléa du quantique
And emails to me from Physics Professor Basil J. Hiley (who cites Kauffman): Wed, Feb 23, 2022, 4:19 AM (from Professor Basil J. Hiley)
“...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.
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 to physical
problems. Then there follows an attempt to make the formalism into an
ontology
and the result is a plague of interpretations.
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 online 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'!
Mon, Aug 29, 2022, 6:27 AM
“Dear Drew,
In my approach there is no need to refer to any wave function. Each individual process is described by the non-commutative elements of the phase-space algebra itself.
Classical physics uses a commutative phase-space algebra
. Classical physics has the Poisson brackets as a vital part of the description. What we have to understand is how that [Poisson] bracket
emerges from the non-commutative structure
. Now the non-commutative algebra contains two types of bracket, a commutator or Lie bracket (or Lie product to give it its proper mathematical name) and an anti-commutator or Baker bracket (known as the Jordan product). The Lie bracket becomes the Poisson bracket as we go to the classical limit, while the Jordan product becomes the normal inner product. In symbols (AB + BA)/2 is greater than AB. The Jordan product is the most neglected product in the whole discussion of the foundations of quantum mechanics.
This is not a 'cheat answer’. It's what you have to understand if you
really
want to understand the relation between quantum and classical physics. The clearest discussion of this issue is in the paper I have attached.
I hope you find it helpful.
Basil Hiley.
Mon, Aug 29, 2022,
“It is the spin that led me to the idea of no ‘waves’.
Of course you have to explore the algebraic way and see if it makes more sense. I do and to me it fits more naturally into the mathematical scheme I am developing. By the way it is not just me
.But there is much more interesting ideas being developed i.e.
Alan Connes “Noncommutative Geometry.
"
Basil Hiley.
Sun, Sep 25, 2022, 11:20 AM
“Dear Drew,
My silence is not because I did not appreciate the Connes lecture and your summary of the highlights. It is
really deep stuff which moves us well away from the way physics is normally presented
.
It shows how the
non-commutative geometry produces discrete energy level structure
Alain Connes - Temps et aléa du quantique
And emails to me from Physics Professor Basil J. Hiley (who cites Kauffman): Wed, Feb 23, 2022, 4:19 AM (from Professor Basil J. Hiley)
“...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.
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 to physical
problems. Then there follows an attempt to make the formalism into an
ontology
and the result is a plague of interpretations.
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 online 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'!
Mon, Aug 29, 2022, 6:27 AM
“Dear Drew,
In my approach there is no need to refer to any wave function. Each individual process is described by the non-commutative elements of the phase-space algebra itself.
Classical physics uses a commutative phase-space algebra
. Classical physics has the Poisson brackets as a vital part of the description. What we have to understand is how that [Poisson] bracket
emerges from the non-commutative structure
. Now the non-commutative algebra contains two types of bracket, a commutator or Lie bracket (or Lie product to give it its proper mathematical name) and an anti-commutator or Baker bracket (known as the Jordan product). The Lie bracket becomes the Poisson bracket as we go to the classical limit, while the Jordan product becomes the normal inner product. In symbols (AB + BA)/2 is greater than AB. The Jordan product is the most neglected product in the whole discussion of the foundations of quantum mechanics.
This is not a 'cheat answer’. It's what you have to understand if you
really
want to understand the relation between quantum and classical physics. The clearest discussion of this issue is in the paper I have attached.
I hope you find it helpful.
Basil Hiley.
Mon, Aug 29, 2022,
“It is the spin that led me to the idea of no ‘waves’.
Of course you have to explore the algebraic way and see if it makes more sense. I do and to me it fits more naturally into the mathematical scheme I am developing. By the way it is not just me
.But there is much more interesting ideas being developed i.e.
Alan Connes “Noncommutative Geometry.
"
Basil Hiley.
Sun, Sep 25, 2022, 11:20 AM
“Dear Drew,
My silence is not because I did not appreciate the Connes lecture and your summary of the highlights. It is
really deep stuff which moves us well away from the way physics is normally presented
.
It shows how the
non-commutative geometry produces discrete energy level structure
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