Realistic classical charge from an asymmetric wormhole

TL;DR

This paper presents a wormhole solution in Einstein-Dirac-Maxwell theory that models a classical charge with spin, connecting two asymptotically flat spacetimes with different observed masses and charges.

Contribution

It introduces a novel asymmetric wormhole model supporting a complex spinor field, demonstrating how observed particle properties can emerge from spacetime topology.

Findings

The solution connects two different asymptotic spacetimes with distinct masses and charges.

Adjusting parameters yields observed Standard Model particle values at one end.

The model exemplifies Wheeler's ideas of 'mass without mass' and 'charge without charge'.

Abstract

Within Einstein-Dirac-Maxwell theory, we consider a wormhole solution supported by a complex non-phantom spinor field with a bare mass of the order of the Planck mass (which provides a nontrivial spacetime topology and an intrinsic angular momentum), an electric field (which provides a charge of the system), and a magnetic field. This solution describes an asymmetric wormhole connecting two different asymptotically flat spacetimes (two universes) in which there are in general different observed masses and charges. It is shown that, by suitably adjusting the values of free system parameters, at one end of the wormhole, one can obtain the values of the observed mass and charge typical of the Standard Model particles, whereas at the other end of the wormhole these physical quantities acquire the Planck values. Such a configuration incarnates Wheeler's idea of ``mass without mass'' and ``charge without charge'', and can be thought of as a model of a classical charge possessing a spin.