In classical electrodynamics, an extended charge accelerated by a constant electric or magnetic field has all its parts equally accelerated in the laboratory frame, leading to it losing its rigidity in the proper frame of any accelerated part. Ineffect, the rest mass of the extended charge increases.
To keep it rigid would require another external field, as in a Rindler space where an additional force is required maintain the rigidness of a hyperbolically accelerated extended body.
Is there anything in modern particle physics that requires an additional external field from somewhere, to maintain the rigidness of say the electron when it's accelerated by an EM field? Like the Higgs or vacuum?
On 20/02/22 7:47 PM, john mcandrew wrote:effect, the rest mass of the extended charge increases.
In classical electrodynamics, an extended charge accelerated by a constant electric or magnetic field has all its parts equally accelerated in the laboratory frame, leading to it losing its rigidity in the proper frame of any accelerated part. In
To keep it rigid would require another external field, as in a Rindler space where an additional force is required maintain the rigidness of a hyperbolically accelerated extended body.
You can't always maintain it. (Once you cross the event horizon of
a black hole it's a lost cause..)
Is there anything in modern particle physics that requires an additional external field from somewhere, to maintain the rigidness of say the electron
when it's accelerated by an EM field? Like the Higgs or vacuum?
Modern physics is probably the last place to look for it. The electron
in modern physics is a quantum field. A quantum field has quite some similarity with a classical wave, which is not rigid at all.
Of course a quantum field also has some discreteness, but that is mainly
the existence of certain modes. And those are not rigid at all when they
are accelerated. Most electrons are bound to an atom core, and if that
system is placed in a field it is easily deformated.
Of course you can say that an atom *approximately* keeps it shape, in
the sense that the core and electrons at least tend to stay together,
if the forces don't become too strong at least. For that behavior you actually need the internal field (regardless whether there's an external field or not). I'm not sure if that is what you're looking for..
In classical electrodynamics, an extended charge accelerated by a constant electric or magnetic field has all its parts equally accelerated in the laboratory frame, leading to it losing its rigidity in the proper frame of any accelerated part. Ineffect, the rest mass of the extended charge increases.
To keep it rigid would require another external field, as in a Rindler space where an additional force is required maintain the rigidness of a hyperbolically accelerated extended body. Is there anything in modern particle physics that requires anadditional external field from somewhere, to maintain the rigidness of say the electron when its accelerated by an EM field? Like the Higgs or vacuum?
Thanks in advance,
John McAndrew
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