Charge conservation and special relativity

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SUMMARY

The discussion centers on the implications of potential violations of charge conservation on special relativity (SR). It is established that both classical electromagnetism (Maxwell electrodynamics) and quantum electrodynamics (QED) predict charge conservation. If charge conservation were violated, modifications to these theories would be necessary, but it remains uncertain if Lorentz invariance would be preserved. The conversation concludes that while electromagnetic theory could change, the fundamental principles of relativity would not be altered, aside from terminological adjustments regarding the speed of light.

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  • Understanding of special relativity (SR)
  • Familiarity with Maxwell's equations
  • Knowledge of quantum electrodynamics (QED)
  • Basic concepts of charge conservation in physics
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Ahmed1029
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If conservation of charge gets violated in future experiments, what would be the implications on relativity? I have some faint idea that this will cause photons to have non-zero rest mass, but does this affect special relativity at all? Also, does special relativity make conservation of charge necessary?
 
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Ahmed1029 said:
I have some faint idea that this will cause photons to have non-zero rest mass
Do you have a valid reference that suggest this? Or is it personal speculation...?
 
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berkeman said:
Do you have a valid reference that suggest this? Or is it personal speculation...?
No, a physics professor told me so but I'm not so sure.
 
berkeman said:
Do you have a valid reference that suggest this? Or is it personal speculation...?
I'm mainly curious whether SR necessitates that charge is conserved.
 
Ahmed1029 said:
No, a physics professor told me so but I'm not so sure.
But you are not in school; you are self-studying. Where did you happen to have a technical discussion with a university physics professor?

Ahmed1029 said:
I'm learning physics on my own.
 
berkeman said:
But you are not in school; you are self-studying. Where did you happen to have a technical discussion with a university physics professor?
A website just like this one
 
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berkeman said:
But you are not in school; you are self-studying. Where did you happen to have a technical discussion with a university physics professor?
Also as an aside, I'm actually in school; I'm a medical student but physics is my side gig, so I can visit other departments if I want to. I however found the internet more helpful.
 
Ahmed1029 said:
I'm mainly curious whether SR necessitates that charge is conserved.
SR in itself is not a theory of electromagnetism, so this question is unanswerable.

Our best current classical theory of electromagnetism is Maxwell electrodynamics, and our best current quantum theory of electromagnetism is QED, and both of those theories predict that charge is conserved. So those theories would have to be modified if charge conservation were found to be violated. Whether the resulting theories would still obey Lorentz invariance is a separate question that could only be answered if experiment forced us to develop such modified theories.
 
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Worth noting that you can modify electromagnetic theory so that light does not travel at ##c##, which corresponds to massive photons in the quantised theory. This would have no effect on relativity except that we wouldn't be able to call the constant ##c## "the speed of light" any more. And we'd have to re-write textbooks to always derive the theory without using light signals. So all bureaucracy, really, no actual physics change to relativity (electromagnetic theory would have changed, of course).

As far as I know charge is still conserved in this theory.
 
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