filmov
tv
Music theory as Noncommutativity explains antigravity as quantum biology meditation nonlocality
Показать описание
Alain Connes: "the ear is only sensitive to the ratio, not to the additivity...multiplication by 2 of the frequency and transposition, normally the simplest way is multiplication by 3...2 to the power of 19 is almost 3 to the power of 12....time emerges from noncommutativity....What about the relation with music? One finds quickly that music is best based on the scale (spectrum) which consists of all positive integer powers q to the nth for the real number q=2 to the 1/12th∼3 to the 1/19th. Due to the exponential growth of this spectrum, it cannot correspond to a familiar shape but to an object of dimension less than any strictly positive number. ... An ordinary geometric space, such as a compact Riemannian space, has an associated scale in the musical sense as exemplified in the famous lecture “can one hear the shape of a drum"? [NO] of Marc Kac [7]....Ritz-Rydberg Law: When expressed in frequencies NOT wavelengths, certain spectral lines add up to give a new spectral line. If you want to understand that kind of law, you had to use not one index (alpha or beta) but TWO indices. If you study spectral lines in that point of view, certain lines are the addition of two different spectral lines. This was a miraculous, a wonderful discovery that was made, thanks to Heisenberg. Heisenberg understood that this law of composition which was called Ritz-Rydberg Law lead immediately to - if you're a physicist you concentrate on observable values - led to Matrix Mechanics. Of course mathematicians know about that but not physicists. If you make a product of two matrices you use precisely this Ritz-Rydberg Law. You obtain the IK from the sum of IJ and JK. [quaternions of Clifford Algebra]
The discovery of Heisenberg was these matrices were not commuting.
The order of the terms...has vital part to play. E=mc(squared) but you can't inverse the terms of this equation in this specific case. Commutativity does no longer hold in the phases of a microscopic system.
This might be a difficult challenge. But we tend to know that kind of phenomenon. Because when we right things down, using language, we know that we have to take into account the order in which we write the letters. If we don't, we have, some times the cases of anagrams."
"Spacetime is no longer purely continuum. It's a mixture of the Continuum and the Discrete. So this was a lesson which very very strangely forced the change of the Riemann paradigm... of course Riemann couldn't force it because it involves quantum mechanics.
So the new paradigm of geometry is very close to the Riemannian part but there are nuances from the quantum, from the formalism of quantum mechanics which was discovered by von Neumann. And it tells us that the notion of geometric space becomes more natural and more easy to understand in the quantum formalism."
How do you define the coordinates?
Turns out that the best way is to give the MUSIC of the space.
So if you give a shape... each of these shapes have a special musical scale. Which frequencies are the proper frequencies of this shape. Turns out if you want to give invariant space, you have to give the least quantities which are assigned to this space - now the SCALE of the space is noncommutative."
"And I believe this is exactly what the brain does when we see because when we see we have the photons which are coming into a noncommutative eigenspace. And the brain reconstructs the space like we are used to see. "
"it's a zero-dimensional object but it has positive volume!...standard music suggests dealing with new shapes which are quantum such as the quantum 2-spheres....Their spectrum is SO DENSE that it appears continuous but it is not continuous.... It is only because one drops commutativity that variables with a continuous range can coexist with variables with a countable range...
Quantum Physics Professor Basil J. Hiley email to me 2018:
"I always felt the chances that a universal rest frame existed were very small. Bohm and I presented a paper discussing the consequences of there being no rest frame in Bohm, D. and Hiley, B. J., Non-locality and Locality in the Stochastic Interpretation of Quantum Mechanics, Phys. Reports, 172 (1989) 93-122. Things are much more complicated. My preferred explanation lies in a much deeper explanation that we were working on when Penrose was with us at Birkbeck College, namely the notion of pre-space, or pre-geometry. Today it is called 'non-commutative geometry’. In my view this demands a radical new view as to what geometry actually is. Things do not go on in space-time but space-time itself emerges from the non-commutative algebra of process. ...the Bohm trajectories are the mean of an ensemble of individual Feynman paths."
The discovery of Heisenberg was these matrices were not commuting.
The order of the terms...has vital part to play. E=mc(squared) but you can't inverse the terms of this equation in this specific case. Commutativity does no longer hold in the phases of a microscopic system.
This might be a difficult challenge. But we tend to know that kind of phenomenon. Because when we right things down, using language, we know that we have to take into account the order in which we write the letters. If we don't, we have, some times the cases of anagrams."
"Spacetime is no longer purely continuum. It's a mixture of the Continuum and the Discrete. So this was a lesson which very very strangely forced the change of the Riemann paradigm... of course Riemann couldn't force it because it involves quantum mechanics.
So the new paradigm of geometry is very close to the Riemannian part but there are nuances from the quantum, from the formalism of quantum mechanics which was discovered by von Neumann. And it tells us that the notion of geometric space becomes more natural and more easy to understand in the quantum formalism."
How do you define the coordinates?
Turns out that the best way is to give the MUSIC of the space.
So if you give a shape... each of these shapes have a special musical scale. Which frequencies are the proper frequencies of this shape. Turns out if you want to give invariant space, you have to give the least quantities which are assigned to this space - now the SCALE of the space is noncommutative."
"And I believe this is exactly what the brain does when we see because when we see we have the photons which are coming into a noncommutative eigenspace. And the brain reconstructs the space like we are used to see. "
"it's a zero-dimensional object but it has positive volume!...standard music suggests dealing with new shapes which are quantum such as the quantum 2-spheres....Their spectrum is SO DENSE that it appears continuous but it is not continuous.... It is only because one drops commutativity that variables with a continuous range can coexist with variables with a countable range...
Quantum Physics Professor Basil J. Hiley email to me 2018:
"I always felt the chances that a universal rest frame existed were very small. Bohm and I presented a paper discussing the consequences of there being no rest frame in Bohm, D. and Hiley, B. J., Non-locality and Locality in the Stochastic Interpretation of Quantum Mechanics, Phys. Reports, 172 (1989) 93-122. Things are much more complicated. My preferred explanation lies in a much deeper explanation that we were working on when Penrose was with us at Birkbeck College, namely the notion of pre-space, or pre-geometry. Today it is called 'non-commutative geometry’. In my view this demands a radical new view as to what geometry actually is. Things do not go on in space-time but space-time itself emerges from the non-commutative algebra of process. ...the Bohm trajectories are the mean of an ensemble of individual Feynman paths."
Комментарии