Classical Models of Subatomic Particles

TL;DR

This paper investigates classical models of subatomic particles using general relativity, finding that quantum effects invalidate the Kerr-Newman exterior solution, implying flat space is more appropriate.

Contribution

It demonstrates that quantum mechanics invalidates the stationarity assumption of Kerr-Newman solutions for subatomic particles, suggesting flat spacetime as the correct model.

Findings

Quantum effects violate stationarity of Kerr-Newman solutions for particles

Kerr-Newman exterior is not suitable for known subatomic particles

Flat space is the appropriate spacetime model for particles

Abstract

We look at the program of modelling a subatomic particle---one having mass, charge, and angular momentum---as an interior solution joined to a classical general-relativistic Kerr-Newman exterior spacetime. We find that the assumption of stationarity upon which the validity of the Kerr-Newman exterior solution depends is in fact violated quantum mechanically for all known subatomic particles. We conclude that the appropriate stationary spacetime matched to any known subatomic particle is flat space.