Magnetic field of an electron and general relativity

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SUMMARY

The discussion centers on the relationship between an electron's electric field and its magnetic field as described by Maxwell's equations and the principles of relativity. It is established that as an electron approaches the speed of light, its electric field lines are compressed in the direction of motion, resulting in a stronger field in the perpendicular plane. The magnetic field of a moving electron is a consequence of Maxwell's equations, which remain valid across different reference frames due to the transformations provided by relativity.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Familiarity with the concept of electric and magnetic fields
  • Basic knowledge of special relativity
  • Concept of electron spin and its implications
NEXT STEPS
  • Study the implications of Maxwell's equations on electromagnetic fields
  • Research the effects of special relativity on charged particles
  • Explore the relationship between electron spin and magnetic moments
  • Review advanced topics in quantum electrodynamics
USEFUL FOR

Physicists, electrical engineers, and students interested in electromagnetism and the foundations of modern physics will benefit from this discussion.

potatocar
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This is from an older thread:

The electric field lines of an electron traveling close to the speed of light will be squeezed in the direction of motion (by length contraction). So much so, the electric field strength in front of and behind the electron (in the direction of motion call it x) will be much less than in y-z plane. The y-z plane will be a circular disc containing the strongest electric field lines that is perpendicular to the direction of motion.
by what

If that's true, how does the electron's spin cause it to behave like a small bar magnet? Why does relativity demand an electron have a magnetic field?

Thanks!
 
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potatocar said:
Why does relativity demand an electron have a magnetic field?
I am not sure what you mean. It is Maxwell's equations which demand that a moving electron has a magnetic field.

Relativity just provides a transformation that preserves Maxwell's equations in different reference frames. Before relativity was developed it was believed that Maxwell's equations only held exactly in one reference frame, but in that frame (without relativity) a moving electron would still have a magnetic field.
 
potatocar said:
This is from an older thread:

If that's true, how does the electron's spin cause it to behave like a small bar magnet? Why does relativity demand an electron have a magnetic field?

Thanks!

Perhaps this important paper will shed some light on the subject :

https://docs.google.com/viewer?a=v&q=cache:vuufvQCj-bcJ:houchmandzadeh.net/cours/Relativite/Biblio/messner_wheeler_1957.pdf+&hl=en&pid=bl&srcid=ADGEEShUytAxuSDGA71OKZ38QcnQwbmujHOfBuY_snupR8l2D2qVxJlSWj1yG2FDQATp-updXoOLWySewTXSGpp63eSI1KJ_v2Lop97ABm8St4WQNEgVkqd4w5hci7L6qygrY1u1LxTP&sig=AHIEtbQo8N0ZggLcjVzj0xHF4hYiHMMuLA
 

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