Behavior of Massive Electromagnetic Fields

AI Thread Summary
Electromagnetic fields exhibit distinct behaviors when described by Proca equations compared to Maxwell's equations, particularly as the mass of the photon increases. In scenarios such as plane waves or moving charges, a massive photon leads to a potential that does not diminish with distance in the same manner as in massless cases. Additionally, the speed of light becomes frequency-dependent, altering how electromagnetic waves propagate. If measurements are taken using light of the same frequency as the proposed massive photon, synchronization of clocks could yield different results than expected under classical assumptions. Overall, these changes highlight the theoretical implications of introducing mass to photons in electromagnetic theory.
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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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