Classical Electron Model with Negative Energy Density in Einstein-Cartan Theory of Gravitation

TL;DR

This paper explores how Einstein-Cartan theory can model electrons with negative energy density and gravitational mass, providing a new physical interpretation consistent with experimental limits.

Contribution

It introduces a novel interpretation within Einstein-Cartan theory showing negative energy density and gravitational mass for electrons, aligning with experimental constraints.

Findings

Negative energy density can be modeled in Einstein-Cartan theory.

Gravitational mass of electrons may be negative in this framework.

Consistent with experimental limits on electron radius.

Abstract

Experimental result regarding the maximum limit of the radius of the electron \sim 10^{-16} cm and a few of the theoretical works suggest that the gravitational mass which is a priori a positive quantity in Newtonian mechanics may become negative in general theory of relativity. It is argued that such a negative gravitational mass and hence negative energy density also can be obtained with a better physical interpretation in the framework of Einstein-Cartan theory.