Comparing Group theory and Electromagnetism

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Homework Help Overview

The discussion revolves around the comparison between group theory and electromagnetism, focusing on how these concepts relate mathematically and conceptually within physics.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to understand the relationship between group theory and electromagnetism, referencing a mathematical expression related to sine and cosine waves. Some participants question the clarity of the original question, noting the distinct nature of group theory as a mathematical tool versus electromagnetism as a physical model. Others inquire about the significance of group theory in the context of electromagnetism.

Discussion Status

The discussion is ongoing, with participants exploring the definitions and implications of group theory in relation to electromagnetism. Some guidance has been offered regarding the role of group theory in theoretical physics, particularly in gauge theories, but no consensus has been reached on the original question's intent.

Contextual Notes

There is a mention of the need for more details from the original poster, indicating that the question may require further clarification or context to facilitate a more productive discussion.

Futurestar33
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Homework Statement


Good afternoon,

How can you mathematicaly talk about how how group theory compares to electromagnetism.

Homework Equations


e^iθ=Cosθ+iSinθ

The Attempt at a Solution


I know that the above formula is because of a sin wave and a cosine wave. Put them together and you get a certain pattern. That corresponds to group theory but I really don't know too much else about it.

Thank you
 
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I am sorry, but your entire question seems quite badly defined. Group theory is an important tool when dealing with electromagnetism or other physical theories, but it is unclear how you think they would be "compared" - one is a mathematical construct and tool while the other is a physics model.
 
Well our teacher asked us the question, I can post some more details a little later.

Also you said that Group theory is an important tool when dealing with electromagnetism, why?
 
Futurestar33 said:
Also you said that Group theory is an important tool when dealing with electromagnetism, why?

Group theory is an important tool in most of theoretical physics of today. For electromagnetism, it is a gauge theory based on the symmetry group U(1). This probably does not mean much to you at present, but will be fundamental if you go on to study more advanced physics.
 

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