Behavior of Massive Electromagnetic Fields

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Discussion Overview

The discussion centers on the qualitative differences in the behavior of electromagnetic fields when described by the Proca equations, which account for massive photons, compared to Maxwell's equations, which describe massless photons. Participants explore implications for classical electromagnetic scenarios such as plane waves, moving charges, and antennas, particularly in a thought experiment context.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant inquires about the qualitative differences in electromagnetic field behavior when transitioning from Maxwell's equations to the Proca equations, particularly in classical EM problems.
  • Another participant notes that the potential associated with electromagnetic fields will not fall off as 1/r if the photon has mass, which is a requirement for Maxwell's equations.
  • It is suggested that the speed of light would become frequency dependent under the Proca framework.
  • A follow-up comment questions how the frequency-dependent speed of light would be measured if one were to use light of the same kind as in the thought experiment, considering synchronization of clocks and measurements.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the implications of massive photons on electromagnetic behavior, and the discussion remains unresolved with no consensus reached.

Contextual Notes

Participants do not clarify the assumptions underlying their claims, and the discussion does not resolve the mathematical implications of the Proca equations versus Maxwell's equations.

splur
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Can someone provide a qualitative description of how electromagnetic fields behave differently when one uses the Proca equations rather than Maxwells equations? That is, if I start with a nice classical EM problem like a plane wave, a moving charge, or an antenna, and then I gradually increase the mass of the photon (perhaps to something very large), what should I expect to happen? This is more of a thought experiment, I'm not concerned with the physical reality of it.
 
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The only thing I know off hand is that the potential will no longer fall off as 1/r, that requires that the particle (photon) to be massless.
 
The speed of light will be frequency dependent.
 
atyy said:
The speed of light will be frequency dependent.

But what if you measured it (the speed of light) with light of the same kind as proposed in the thought experiment, i.e. you measured time lapses and lengths and you synchronized clocks with that very same light?
 

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