Saturday, July 12, 2025

Uncertainty in frequency/time related to matter waves (uncertainty in frequency/wavelength): Basil J. Hiley

 

 Excellent quantum lecture series - but jumps from de Broglie to Schroedinger 

The above time-energy (frequency) uncertainty is actually noncommutative nonlocality!

This is revealed from the imaginary time that is in the "polar form" of the quantum algebra.

The professor states the "polar form" algebra is too complicated - why? Because the multiplication and division is based on the exponentials (adding or subtraction) being noncommutative.

Instead he turns the math around and insists that only the commutative algebra exists and the imaginary time that is nonlocal can not exist (meaning "i" as the phase relation of -1 from imaginary squared can NOT exist on its own in its algebra form of square root of negative 1 aka X=-1/X.

 de Broglie realized in his Law of Phase Harmony that since frequency is to time as momentum is to wavelength (see image above) - therefore logically there HAS to be a time-reversed negative frequency from the future that is precognitive nonlocal information force and it is also "gravitationally repulsive." 

This Law of Phase Harmony was rediscovered as the quantum potential based on the polar form of the Schroedinger equation but it's inherent to the quantum algebra Heisenberg used that is noncommutative time-frequency. 

And yet, as Basil J. Hiley detailed in his final few years of lectures, this truth got covered over even by Dirac and Feynman - yet it was also discovered by Moyal and Bryce Dewitt (who then went into classified antigravity propulsion technology).

 https://www.numberanalytics.com/blog/ultimate-guide-poisson-bracket-dynamical-systems

Dirac used the Poisson Bracket to restore symmetric of the noncommutative matrices math as an "antisymmetric function." 

Basil J. Hiley points out it's the Jordan Bracket that got covered up! The Baker Bracket I mean that is also called the Jordan Product.

Basil Hiley
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 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 —> 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 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.
 
the energy per time is watts versus the energy being just joules....(based on frequency as wavelength of matter)... 
Tesla described a resonance that Steinmetz called "wattless power" - that is noncommutative time force.
 So a lot of photons per time is the microwave oven at 400 watts...
a spherical wireless router has less density of photons per time as it spreads out...

3 comments:

  1. What was the paper that he attached?

    ReplyDelete
  2. What is the paper Hiley was referring to?

    ReplyDelete
  3. He was just replying to me on his own - he didn't attach any paper.

    ReplyDelete