Relationship between GR and qm+electromagnetism?

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Discussion Overview

The discussion revolves around the relationship between General Relativity (GR) and the fields of electromagnetism (E&M) and quantum mechanics (QM). Participants explore the prerequisites for understanding GR, particularly the mathematical and conceptual foundations required from E&M and QM, as well as the relevance of these subjects to GR.

Discussion Character

  • Conceptual clarification
  • Debate/contested
  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant questions whether GR involves a significant understanding of E&M, expressing uncertainty about their own grasp of E&M at the advanced undergraduate level.
  • Another participant asserts that while GR does not involve much E&M, a solid understanding of the mathematics of E&M is crucial for comprehending GR.
  • A follow-up inquiry seeks clarification on the level of mathematics involved in E&M, specifically referencing a textbook and current coursework in partial differential equations (PDE).
  • One participant suggests that ideally, one should be capable of handling problems presented in the referenced textbook by Jackson, although they note that speed is not necessarily a requirement.

Areas of Agreement / Disagreement

Participants express differing views on the extent to which E&M is necessary for understanding GR. There is no consensus on the specific mathematical requirements or the adequacy of the participant's current studies in E&M and PDE.

Contextual Notes

Limitations include the lack of clarity on what constitutes an "advanced undergraduate level" understanding of E&M, and the potential variability in mathematical prerequisites for GR based on different educational backgrounds.

Who May Find This Useful

Students preparing for graduate-level courses in gravitational theory, particularly those with interests in the interplay between GR, E&M, and QM.

romsofia
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I emailed a prof about sitting in on his graduate-level gravitational theory class next semester. He said he would like his students to have understanding of electromagnetism, special relativity and quantum mechanics at the advanced undergraduate level.

This is the course description: Presents Einstein's relativistic theory of gravitation from geometric viewpoint; gives applications to astrophysical problems (gravitational waves, stellar collapse, etc.).


My question is does GR involves the two subjects? I have the QM down, but I'm not sure if my electromagnetism is at the "advanced undergraduate level" and am not sure if I'll have enough time to bring it up to par if GR needs my understanding to be there.

Thanks for your help!
 
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GR doesn't involve much E&M, but if you are not facile with the mathematics of E&M, you will not understand a whit of GR.
 
Vanadium 50 said:
GR doesn't involve much E&M, but if you are not facile with the mathematics of E&M, you will not understand a whit of GR.

What level of math is E&M at?

I have "Classical Electrodynamics: Third Edition" by Jackson, and am slowly working through the first chapter. But so far, all I've seen are divergence theorems and things of that sort.
I'm also currently taking a PDE course (Initial/Boundary value problems for first-order, wave, heat and Laplace Equations; maximum principles; Fourier Series and applications.).

Would that be enough? If not, what would you suggest I also study?
 
Ideally, you should be able to handle any problem in Jackson. (Although not necessarily quickly!)
 

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