Wednesday, April 6, 2022

How Noncommutativity better explains weak measurement amplification: Noncommutativity gets MENTIONED on Alienscientist - but then dismissed

 We present a scheme for achieving amplification of the displacement of the mirror in optomechanical cavity using single-photon postselection where the mirror is initially prepared in squeezed coherent state. The amplification depends on the enhanced fluctuations of the squeezed coherent state, and it is is caused by the noncommutativity of quantum mechanics relying on the squeezed coherent state, which can not be explained by the standard weak measurement [1,25].

 https://arxiv.org/pdf/1509.00942.pdf

Strange I get that source for the quote but then I can't find it in the paper? Maybe it's a difference between preprint and published version - must be!

Weak measurement combined with quantum delayed-choice experiment and implementation in optomechanical system

 Hardness Amplification for Non-Commutative
Arithmetic Circuits

 https://drops.dagstuhl.de/opus/volltexte/2018/8877/pdf/LIPIcs-CCC-2018-12.pdf

 So one of the livestream commentators brings up noncommutative functions - and Jeremy aka "Alienscientist" immediately dismisses it. field theory um non-commutative uh non-commutative function which is like that no um no it's like um commutators uh is a way of um it's the same way of generalizing it's; Wow just the fact that someone else MENTIONED noncommutativity is a good start!!

haha.

Indeed the quantum commutators do arise from the noncommutative time-frequency. Jeremy and the others have not studied relativistic quantum physics enough to realized this secret. So instead they are hung up on the "squeezed states" as being "reduced" to the Heisenberg Uncertainty Principle. The HUP is limited to momentum after the amplitude is squared. So the Squeezed state is varying either the amplitude squared or phase squared. 

But in fact it is the imaginary number that provides the phase as the negative frequency magnitude. This is also an amplitude but since it is canceled out by squaring the amplitude for probability to get the HUP - then the secret of the noncommtuative imaginary negative frequency and reverse time source is lost.

So if they understood the math better then they would understand the nonlocality. It's just because everyone learns classical physics first and so they get brainwashed by the symmetric commutative "commutators." hahaha.

yes actually the quantum commutators do originate from noncommutativity. I just posted a blog comment on this - but youtube won't let me paste it in. Essentially the imaginary number for the phase is the negative frequency and reverse time of the de Broglie Law of Phase Harmony. So before that magnitude as amplitude is squared for the probability then it is the "weak measurement" that is noncommutative. This is before the Heisenberg Uncertainty Principle that assumes a symmetric geometry commutator - so the HUP arises from the noncommutativity because when the imaginary amplitudes are squared then they cancel out and either the real number x or y axis is a constant as zero. That's the true origin of the Heisenberg Uncertainty Principle. I did a blog post on this recently that is explains and cites this pedagogical paper on it. 
 
So once you understand the math better then you can self-amplify from the nonlocal process of the negative frequency and reverse time energy directly. This is why nonwestern meditation has to be noncommutative also - and explains why western science doesn't understand the paranormal. It also explains why quantum biology can not be replicated as off the shelf "engineered" technology because the self-amplification is from this noncommtuativity. In fact Pascual Jordan understood this in the 1930s!! He got dismissed for the same reason de Broglie's pilot wave model got dismissed as the Solvay conference - since the statistics didn't pan out for more than one particle. So as Professor Basil J. Hiley explains - the Schroedinger wave provided an easy algorithm but it lost the true accuracy of the noncommutative foundation of reality. 
 
This noncommutativity also explains the current global crisis of ecological destruction on Earth due to Western technology from symmetric math and the exponential function. Noncommutative calculus is a whole other ball game so to speak. Roger Penrose gets into this when talking about the gravitational potential as the negative entropy that powers life on Earth (as well as creating the quantum entanglement for solar fusion and also exists before the Big Bang). What's quite astonishing is that Penrose emphasizes this 5th dimension of fundamental time is not based on physical scale of size!! Quite astonishing indeed. You can read my recent "Music as meditation" book - the final chapter for details - or go to the website viewzone where the article was published on "the fundamental frequency" as noncommutativity.

 Actually Alain Connes says, to quote, "the fundamental thing is spectral [frequency]... and that somehow in order to think we have to do this innermost Fourier transform..a Fourier transform not for functions but a Fourier Transform on geometry." And then, "Our notion of point will emerge as a correlation of different frequencies" and "when we take an algebra of a certain operator which is non-commutative well it generates its own time. This is really the time in the physical examples which turns over time. So this is amazing, and it comes exactly because you cannot swap A and B." So it's before functions and it's a noncommutative process that creates spacetime as a point - from what Connes calls "primitive time" and Penrose calls "fundamental time" and math Professor Louis Kauffman calls "primordial time."

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