Can a Rotating Magnet Prove the Relativity of Electric Fields?

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    Magnet Rotating
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Discussion Overview

The discussion revolves around the concept of charge density variation in the context of a rotating magnet and its implications for the relativity of electric fields. Participants explore theoretical models related to superconductivity and the treatment of charge density in quantum field theory (QFT).

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant references Edward Purcell's idea regarding charge densities, noting that under certain conditions, a zero charge density in one frame can correspond to a non-zero charge density in another.
  • Another participant introduces a model termed "big wave, little wave," where the big wave represents charge variation across a rotating loop, and the little waves represent variations coupling electron pairs to the crystal lattice vibrations.
  • A participant expresses interest in the legitimacy of treating charge density on the same footing as charge in quantum field theory, questioning its rigor.

Areas of Agreement / Disagreement

Participants present multiple viewpoints regarding charge density and its implications, with no consensus reached on the legitimacy of treating charge density in QFT or the specifics of the models discussed.

Contextual Notes

Some assumptions regarding the definitions of charge density and its treatment in different frames of reference remain unresolved. The discussion includes references to external materials for further exploration of the concepts.

pmb
[SOLVED] Rotating Magnet

I had forgotten about a web page I made several months ago. It's regarding a rotating magnet. There are some cool physics in this page so take a look

www.geocities.com/physics_world/em/rotating_magnet.htm

Back in the early 60's Edward Purcell came out with an idea of how to look at the relativity of electric fields in terms of charge densities. It's not a widely know fact but under some circumstances you can have a zero charge density in one frame of referance and a non-zero charge density in another. If you want to go into the excrutiaing detail the see also


"Magnetism, Radiaton, and Relativity," Daniel V. Schroeder, Weber
State University --physics.weber.edu/schroeder/mrr/MRRnotes.pdf


Pete
 
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An interesting page you have there.

I found out about the charge density variation when I was trying to understand superconductivity. It led to a model I call "big wave, little wave" where the big wave is the charge variation across the loop when it is turning and the little waves are the variations which couple the electron pairs to the vibrations of the crystal lattice.
 


Originally posted by Tyger
I found out about the charge density variation when I was trying to understand superconductivity. It led to a model I call "big wave, little wave" where the big wave is the charge variation across the loop when it is turning and the little waves are the variations which couple the electron pairs to the vibrations of the crystal lattice.

If you're interested in the details see the Feynman lectures. If youd don't have them then I put the relevant section online


http://www.geocities.com/physics_world/feynman-1.jpg
http://www.geocities.com/physics_world/feynman-2.jpg
http://www.geocities.com/physics_world/feynman-3.jpg
http://www.geocities.com/physics_world/feynman-4.jpg
http://www.geocities.com/physics_world/feynman-5.jpg
http://www.geocities.com/physics_world/feynman-6.jpg


Pete
 
I've got the Feynman Lectures

and would highly recommend them to anyone who's serious about learning Physics. And they're a joy to read and study, he makes the ideas come alive. And the "big wave" idea came right out of Feynman, but I added the little waves to understand the Cooper Pair couplings in SC.

In a somewhat related question, I've always wondered about the legitimacy of treating charge density on the same footing as charge in QFT. Is it really rigorous?
 

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