Eur. Phys. J. C (2018) 78: 363
https://doi.org/10.1140/epjc/s10052-018-5860-7

Regular Article - Theoretical Physics

Non-existence of rest-frame spin-eigenstate spinors in their own electrodynamics

¹ DIME, Università di Genova, P.Kennedy Pad.D, 16129, Genova, Italy
² CMCC, Universidade Federal do ABC, Santo André, 09210-580, Brazil

^* e-mail: fabbri@dime.unige.it

Received: 9 April 2018
Accepted: 29 April 2018
Published online: 8 May 2018

Abstract

We assume a physical situation where gravity with torsion is neglected for an electrodynamically self-interacting spinor that will be taken in its rest-frame and spin-eigenstate: we demonstrate that under this circumstance no solution exists for the system of field equations. Despite such a situation might look artificial nevertheless it represents the instance that is commonly taken as the basis for all computations of quantum electrodynamics.