Does an Electron's Field Expand at c Upon Spontaneous Creation?

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Discussion Overview

The discussion revolves around the behavior of an electron's field upon spontaneous creation, particularly whether the field expands outward at the speed of light (c) in all reference frames. The scope includes theoretical considerations and implications related to conservation laws and electromagnetic fields.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant questions if an electron's field would expand outward at the speed of light upon spontaneous creation, drawing a parallel to the propagation of light.
  • Another participant argues that spontaneous creation of an electron would violate several conservation laws.
  • There is a query about whether the field would expand at the speed of light in cases of pair production or electrons ejected from a nucleus.
  • A response affirms that the field would indeed propagate at the speed of light, comparing it to a dipole antenna's field propagation.
  • A clarification is sought regarding the term "electron field," specifically whether it refers to the electromagnetic field of charged particles.
  • A reiteration of the initial question emphasizes that changes in the electromagnetic field in a vacuum propagate at the speed of light, while noting the conservation law constraints on charge creation.

Areas of Agreement / Disagreement

Participants express differing views on the possibility of spontaneous electron creation and its implications, with some agreeing on the propagation speed of the field while others highlight conservation law violations. The discussion remains unresolved regarding the feasibility of spontaneous creation.

Contextual Notes

Limitations include the dependence on definitions of fields and charges, as well as the unresolved mathematical details necessary for deeper analysis.

idea2000
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If an electron were to be spontaneously created at a point somewhere in space, would the electron's field expand outwardly at the speed of light, regardless of frame, just like how a flash of light would expand outward at the speed of light, regardless of frame?
 
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An electron spontaneously being created somewhere would violate several conservation laws.
 
how about pair production or an electron ejected from a nucleus? would the field expand outward at the speed of light, regardless of the frame of reference?
 
idea2000 said:
how about pair production or an electron ejected from a nucleus? would the field expand outward at the speed of light, regardless of the frame of reference?
Yes. This would essentially be a small dipole antenna. The field from a dipole antenna is definitely known to propagate at the speed of light.
 
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Although just for to be sure... @idea2000 when you say "electron field" you mean the electromagnetic field of the two charged particles, right?
 
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idea2000 said:
If an electron were to be spontaneously created at a point somewhere in space, would the electron's field expand outwardly at the speed of light, regardless of frame, just like how a flash of light would expand outward at the speed of light, regardless of frame?

The best way of saying this is probably that classically, changes in the electromagnetic field in a vacuum propagate at "c". As other posters have mentioned, one cannot create charges without violating conservation laws, though one can create a dipole. The changes in the field when one creates the dipole propagate at "c", as do others sorts of changes in the electromagnetic field.

To get more detailed than these needs some math, but I'm not sure what level of math you'd be interested in and comfortable with.
 
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