Galilean invariance of Maxwell equation

AI Thread Summary
Maxwell's equations are not invariant under Galilean transformations, primarily due to the constant speed of light, which contradicts the principles of Galilean relativity. Critics argue that existing literature, such as the article by Le Bellac et al., misinterprets the significance of epsilon zero in SI units, leading to incorrect conclusions about electromagnetic wave propagation. The discussion highlights that if Galilean invariance were applied, it would imply that the speed of light is not constant, which is inconsistent with experimental observations. Furthermore, the paper's approach to non-relativistic limits of electromagnetism is considered flawed, as electromagnetic wave fields cannot be described in a non-relativistic manner. Overall, the discourse emphasizes the need for a clearer understanding of the implications of Maxwell's equations in the context of relativity.
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"
 
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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.
 
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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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