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.
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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