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

TL;DR

This paper proves that under certain idealized conditions, a self-interacting spinor in its rest-frame cannot have a solution in electrodynamics, challenging assumptions used in quantum electrodynamics calculations.

Contribution

It demonstrates the non-existence of rest-frame spin-eigenstate spinors in their own electrodynamics when gravity with torsion is neglected.

Findings

No solutions exist for the system of field equations under the specified conditions.

The result questions the validity of common assumptions in quantum electrodynamics.

Highlights the importance of considering torsion and gravitational effects in spinor electrodynamics.

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.