Magnetic field of an electron and general relativity

In summary, the electric field lines of an electron traveling close to the speed of light will be squeezed in the direction of motion, resulting in a stronger electric field in the y-z plane perpendicular to the direction of motion. Relativity does not demand that an electron has a magnetic field, but rather Maxwell's equations do. Relativity simply explains the behavior of a moving electron in different reference frames while preserving Maxwell's equations. The electron's spin does not directly cause it to behave like a small bar magnet, but rather this behavior is a result of its movement and the resulting magnetic field according to Maxwell's equations.
  • #1
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 waht

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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  • #2
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.
 
  • #3
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
 

FAQ: Magnetic field of an electron and general relativity

What is the role of the magnetic field in general relativity?

The magnetic field is a fundamental component of the electromagnetic force, which is one of the four fundamental forces of nature. In general relativity, the magnetic field is a manifestation of the curvature of spacetime caused by the presence of a massive object, such as an electron.

2. How is the magnetic field of an electron related to general relativity?

In general relativity, the magnetic field of an electron is a result of the electron's mass and its intrinsic spin. The spin of an electron causes it to have a magnetic moment, which in turn creates a magnetic field. This magnetic field interacts with the curvature of spacetime, leading to the effects of general relativity.

3. Can general relativity explain the behavior of an electron's magnetic field?

While general relativity does not provide a complete explanation for the behavior of an electron's magnetic field, it does play a crucial role in understanding how the magnetic field interacts with the curvature of spacetime. Other theories, such as quantum mechanics, are needed to fully explain the behavior of the magnetic field at the subatomic level.

4. How does general relativity affect the strength of an electron's magnetic field?

General relativity predicts that the strength of the magnetic field of an electron will decrease as the electron approaches the speed of light. This is due to the effect of time dilation, where time slows down for objects in motion. As the electron's speed increases, its magnetic field will appear weaker to an outside observer.

5. Can general relativity explain the behavior of an electron's magnetic field in extreme conditions, such as near a black hole?

General relativity is essential in understanding the behavior of an electron's magnetic field in extreme conditions, such as near a black hole. The strong gravitational forces near a black hole cause significant curvature of spacetime, which can greatly affect the behavior of the magnetic field. This has important implications for understanding the behavior of matter and energy in the most extreme environments in the universe.

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