Galilean invariance of Maxwell equation

In summary, the conversation discusses the idea that Maxwell equations are not covariant under Galilean transformations due to the constant speed of light. However, there is no evidence to support this and the paper mentioned in the conversation is incorrect in its interpretation of epsilonzero in SI units. The conversation also mentions a resource that provides a greater understanding of Einstein's work and the use of the term "bold" to describe him. Overall, the conversation highlights the importance of properly understanding and interpreting concepts in physics.
  • #1
sadegh4137
72
0
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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  • #2
You want to read:


@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}
}
 
  • #3
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.
 
  • #4
http://faculty.uml.edu/cbaird/95.658%282011%29/Lecture10.pdf"
 
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  • #5
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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  • #6
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.
 

FAQ: Galilean invariance of Maxwell equation

What is Galilean invariance?

Galilean invariance is a principle in physics that states that the laws of physics should be the same for all observers in uniform motion. This means that the laws of physics should not change depending on an observer's frame of reference, as long as they are moving at a constant velocity.

How does Galilean invariance relate to Maxwell's equations?

Maxwell's equations are a set of fundamental equations that describe the behavior of electric and magnetic fields. They are considered to be Galilean invariant, meaning they hold true for all observers in uniform motion. This is because they are based on the principle of relativity, which states that the laws of physics should be the same for all inertial observers.

Why is Galilean invariance important in the context of Maxwell's equations?

Galilean invariance is important in the context of Maxwell's equations because it ensures that the laws of electromagnetism hold true for all observers, regardless of their relative motion. Without this principle, different observers would measure different values for electric and magnetic fields, which would lead to inconsistencies in the laws of electromagnetism.

Is Galilean invariance always valid for Maxwell's equations?

No, Galilean invariance is not always valid for Maxwell's equations. In situations where the observer is moving at high speeds or in the presence of strong gravitational fields, the laws of electromagnetism may need to be modified to account for the effects of relativity. In these cases, Maxwell's equations are replaced by the more comprehensive theory of special relativity.

How does Galilean invariance impact our understanding of the physical world?

Galilean invariance is a fundamental principle that helps us make sense of the physical world. It allows us to apply the same laws of physics to all observers, regardless of their relative motion, which helps us to better understand and predict the behavior of electromagnetism. Without Galilean invariance, our understanding of the physical world would be limited and inconsistent.

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