- #1
kmarinas86
- 979
- 1
Does a charge gain energy in every [inertial] frame when it is accelerated?
If you start with one inertial frame, and then you accelerate a charge from that inertial frame to another one, it appears that we produced a changing electric field in making that occur. Isn't the changing electric field changing according to every inertial frame? Isn't there a changing electric field even in the initial inertial frame of the charge? Wouldn't it then be true that the electron must have absorbed some of this changing electric field? Wouldn't the electron have a different inertial mass as a result, according to every inertial frame?
Also, if one were to then accelerate the charge in the other direction, wouldn't that charge lose some of the energy it had gained?
If so, does there exist an inertial frame, where if a charge matched it, it has the least work done on it, in net?
If one had two initially identical systems, whose COM frames are also identical, with 100 equal masses, all of them identical in correspondence between the two systems, is it true that in the Special Relativity or General Relativity that the first system where only 20 masses are accelerated by 1 m/s, and the other 80 not at all, have the same energy as the second system where the 80 masses (corresponding to the 80 of the first system), instead of those 20 (corresponding to the 20 of the first system), are accelerated by 1 m/s, but in the opposite direction? There remains a symmetry between the two systems. The relative velocity between the 20 masses and the 80 masses is identical between the two systems in the before and after states. If no special frame determined the energy content, then all the fields and energy densities between masses in the two systems should be the same too. Doesn't a different amount of work performed on each system violate that notion though?
If you start with one inertial frame, and then you accelerate a charge from that inertial frame to another one, it appears that we produced a changing electric field in making that occur. Isn't the changing electric field changing according to every inertial frame? Isn't there a changing electric field even in the initial inertial frame of the charge? Wouldn't it then be true that the electron must have absorbed some of this changing electric field? Wouldn't the electron have a different inertial mass as a result, according to every inertial frame?
Also, if one were to then accelerate the charge in the other direction, wouldn't that charge lose some of the energy it had gained?
If so, does there exist an inertial frame, where if a charge matched it, it has the least work done on it, in net?
If one had two initially identical systems, whose COM frames are also identical, with 100 equal masses, all of them identical in correspondence between the two systems, is it true that in the Special Relativity or General Relativity that the first system where only 20 masses are accelerated by 1 m/s, and the other 80 not at all, have the same energy as the second system where the 80 masses (corresponding to the 80 of the first system), instead of those 20 (corresponding to the 20 of the first system), are accelerated by 1 m/s, but in the opposite direction? There remains a symmetry between the two systems. The relative velocity between the 20 masses and the 80 masses is identical between the two systems in the before and after states. If no special frame determined the energy content, then all the fields and energy densities between masses in the two systems should be the same too. Doesn't a different amount of work performed on each system violate that notion though?
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