511keV is just rest mass of electron - required e.g. to build it from photons (EM waves) during pair creation.
Hence, energy conservation doesn't allow energy of electric field of electron to exceed 511 keVs.
However, naive E ~ 1/r^2 assumption for…
Exactly, as this Feynman's lecture says: "the dependence on E is uniquely determined by dimensional analysis", getting sigma ~ 1/E^2.
This is the line I was referring to.
We are interested in size of non-Lorentz-contracted electron, so we need to…
(Quote from Wyttenbach)
By resting I have meant just not Lorentz contracted (gamma=1, v=0), what affects the size we are interested in.
Regarding requirements for electron size, the energy of electric field E ~ 1/r^2 is infinity if…
(Quote from THHuxleynew)
Please elaborate - I couldn't find any details in this link? ... Or previously looking through literature for a few days ... or trying to discuss it in a few forums.
Sure, Wikipedia points Dehmelts 1988 paper with e.g. 10^-22 m…
It is crucial to understand size of electron here - while "everybody knows that electron is point-like", I have spent a few days to find experimental evidence to bound its size ... and literally nothing.
There is usually referenced Dehmelt's paper…