Spectral Decomposition of Constant Functions Utilizing Fourier Harmonics

  • #1
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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  • #2
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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  • #3
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.
 
  • #4
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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  • #5
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.
 
  • #6
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]:
  1. YouTube: 005 The Proton & Neutron
  2. Research Article (2007): The Natural Philosophy of Fundamental Particles
  3. Research Article (2009): Derivation of fundamental particle radii: Electron, Proton & Neutron
  4. Research Article (2011): The Extraterrestrial Casimir Effect
  5. YouTube: 082 Scientific Myth (Quark-Gluon Dynamics)
 
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  • #7
Thread closed for moderation while references are reviewed.
 

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