Galilean invariance of Maxwell equation

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SUMMARY

The discussion centers on the Galilean invariance of Maxwell's equations, asserting that they are not covariant under Galilean transformations due to the constant speed of light. Participants reference the article "Galilean electromagnetism" by Le Bellac and Lévy-Leblond, published in 1973, which is criticized for misinterpreting the significance of epsilon zero in SI units. The consensus is that Galilean invariance is broken because it would imply that the speed of light (c) is not constant, contradicting established electromagnetic theory.

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  • Understanding of Maxwell's equations
  • Familiarity with Galilean transformations
  • Knowledge of electromagnetic wave propagation
  • Basic concepts of special relativity
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  • Read the article "Galilean electromagnetism" by Le Bellac and Lévy-Leblond
  • Study the implications of epsilon zero and mu zero in different unit systems
  • Explore the non-relativistic limits of classical electromagnetics
  • Investigate the relationship between Galilean invariance and the speed of light
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Physicists, electrical engineers, and students of electromagnetism seeking to deepen their understanding of the implications of Maxwell's equations and their invariance properties.

sadegh4137
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always say us Maxwell equations are not covariance under Galilean Transformation

They say merely this because of constant speed of light that the result of Maxwell Equations

But there arent any excitability prove for Non-Ggalilean invariance of Maxwell equation

I Decided try to show this
i found this article when i was searched net




do you think this is true?
 

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@article{le1973galilean,
title={Galilean electromagnetism},
author={Le Bellac, M. and L{\'e}vy-Leblond, J.M.},
journal={Il Nuovo Cimento B (1971-1996)},
volume={14},
number={2},
pages={217--234},
year={1973},
publisher={Springer}
}
 
The paper is wrong. It misinterprets the meaning of epsilonzero in SI.
In any system of units, Maxwell derived that EM waves would propagate at c, which the paper is correct in saying was first measured by W and K. Galilean invariance is broken because it would make c no longer a constant. If you use, SI, then epsilonzero would no longer be constant, while miraculously muzero would be constant.
 
http://faculty.uml.edu/cbaird/95.658%282011%29/Lecture10.pdf"
 
Last edited by a moderator:
chrisbaird said:
http://faculty.uml.edu/cbaird/95.658%282011%29/Lecture10.pdf"
Thank you chrisbaird, this is an excellent read. I now have a greater understanding of Einstein’s work, genius, and boldness.

Believe it or not, I've been using the term bold (as the paper does) to describe Einstein for several years now.
 
Last edited by a moderator:
What's concretely wrong with the paper by LeBellac et al? They investigate the well-known non-relativistic limits of classical electromagnetics in a systematic way. "Non-relativistic" can of course only mean to describe the matter (or more abstractly charges and currents) non-relativistically. Em. wave fields can never behave non-relativistic, but the static, stationary and quasi-stationary limits do.
 

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