Spectral Decomposition of Constant Functions Utilizing Fourier Harmonics

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SUMMARY

The discussion centers on the spectral decomposition of constant functions, specifically gravitational acceleration, into Quantum Vacuum (QV) frequencies. This method claims to provide exact analytical solutions for the RMS charge radius of the proton and the MS charge radius of the neutron, both of which are experimentally verified. Participants emphasize the need for credible references to substantiate the claims made about the mathematical method, particularly in relation to Fourier Series and the implications for the Standard Model of particle physics.

PREREQUISITES
  • Understanding of Fourier Series and their application in signal processing.
  • Familiarity with Quantum Vacuum (QV) frequencies and their significance in particle physics.
  • Knowledge of the Compton frequency and its relevance to particle properties.
  • Basic principles of the Standard Model of particle physics.
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  • Research the mathematical formulation of Fourier Series and their application to wave functions.
  • Explore Quantum Vacuum (QV) frequencies and their implications in modern physics.
  • Study the Compton frequency and its role in determining particle characteristics.
  • Investigate critiques of the Standard Model of particle physics and proposed modifications.
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Physicists, mathematicians, and researchers interested in advanced concepts of quantum mechanics, particularly those exploring the intersections of Fourier analysis and particle physics.

Bret Danfoss
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I've seen a mathematical method which decomposes a Constant Function (say, Gravitational Acceleration), into a spectrum of Quantum Vacuum [QV] Frequencies. It is shown to yield exact analytical solutions to the RMS Charge Radius of the Proton, & the MS Charge Radius of the Neutron (both are experimentally verified).

Q: What do people think of such an approach ?
 
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At first blush, I'd want to see an actual reference because it sounds like word salad. A spectral decomposition of a constant function includes only a single frequency, namely zero.
 
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Bret Danfoss said:
I've seen a mathematical method
Where? Please give a reference. We can't discuss a "method" without a reference that explains how it works.
 
Thanks for stepping in. You made me chuckle a little bit with the 'word salad' reference. [Moderator's note: off topic content deleted.]

Anyway, I see your point, but it's actually inaccurate. Try building a Square Wave with Fourier Series, then rectify the WaveFunction. The Bandwidth of the Frequency Spectrum is bounded by the Mass involved.

So, as you can imagine, there's a vast number of frequencies involved, but it's the High-End Frequency Cut-Off that carries virtually all the Energy.

In the case of the Proton, the Quantum Vacuum [QV] Frequency ends-up being equal to the Square of the Proton Compton Frequency, divided by the Electron Compton Frequency.

In the case of the Neutron, the QV Frequency ends-up being equal to the Square of the Neutron Compton Frequency, divided by the Electron Compton Frequency.

I can certainly give you the reference to the Research Article, but it's been my experience that when I do this, people play the man & not the ball.

They attack ME because the author is an Engineer. It has nothing to do with me, but I have followed the math, checked it all & it's mathematically & experimentally correct.
 
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Bret Danfoss said:
I can certainly give you the reference to the Research Article, but it's been my experience that when I do this, people play the man & not the ball.
Irrelevant. Either give a reference or this thread will be closed. We do not discuss vague handwaving about a "method" here. We can only discuss the method based on a reference that explains how it works.

Bret Danfoss said:
I hear you & it's entirely logical.
Apparently not since you are trying to not comply.

Bret Danfoss said:
Please read my other reply, we can go from there.
See above.
 
PeterDonis said:
Irrelevant. Either give a reference or this thread will be closed. We do not discuss vague handwaving about a "method" here. We can only discuss the method based on a reference that explains how it works.


Apparently not since you are trying to not comply.


See above.
My advice is to watch the YouTube video as a short cut [1], but you can read the Research Articles if you prefer [2,3,4]. Possibly the easiest Research Article to understand how the method is formulated, occurs in Reference [4]. Moreover, the author pleads the case that his method has revealed a minor flaw in the Standard Model of Particle-Physics, as appears in Reference [5]:
[Crackpot references removed by the Mentors]
 
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Thread closed for moderation while references are reviewed.
 
After reviewing the references supplied by the OP, they turn out to not be acceptable at PF. Thread will remain closed.
 

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