Accelerated electrons emit electromagnetic waves, but those at rest do not. So accelerated electrons emit energy and those at rest do not. (At rest hypothetically, I know it is not permissible according to uncertainity principle)
But lets assume that we keep an electron at rest and start accelerating ourselves pretty fast, now even though we do not move the electron, it seems to move and produce EM waves, we should get these waves, and if we do get these waves then the electron must have released these waves or energy.
However someone standing near the electron should not see these and hence must not say that electron is emitting energy.
Why are the two observations differing ? Although energy is not conserved across frames, what else can be the source of light in one frame other than the electron which seems to move.
If my thought experiment that electron does emit energy is correct, then why doesnt the standing observer see it ? And even if he does see it in some other form, does this imply that particles continuously lose energy ?