There exist   theoretical evidences that this hipothesis is true, especially, it is strongly supported by the Casimir type electron stability mechanism suggested by Prof. Hal Puthoff in his nice work: Puthoff H.E. "Casimir vacuum energy and the semicalssical electron". Int J Theor Phys, 46, 2007, p. 3005-3008, as well as in the works by Valerii B Morozov,  2011 Phys.-Usp. 54 371 doi:10.3367/UFNe.0181.201104c.0389

"On the question of the electromagnetic momentum of a charged body",

Rohrlich F. Self-Energy and Stability of the Classical Electron. American Journal of Physics, 28(7), 1960, p. 639-643,

Prykarpatsky A.K., Bogolubov N.N. (Jr.) On the classical Maxwell-Lorentz electrodynamics, the inertia problem and the Feynman proper time paradigm. Ukr. J. Phys. 2016, Vol. 61, No. 3, p. 187-212

and by Rodrigo Medina in the work "Radiation reaction of a classical quasi-rigid extended

particle", J. Phys. A: Math. Gen. 39 (2006) 3801–3816 doi:10.1088/0305-4470/39/14/021

The last one is very learning and also solves the well known "4/3"-problem formulated by Abraham,  Lorentz and Dirac more than 100 years ago.

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