An Approximate Model of the Spacetime Foam

TL;DR

This paper proposes an approximate model of spacetime foam using 5D wormhole-like solutions and spinor fields, suggesting analogies with dielectric materials and supergravity theories for effective descriptions.

Contribution

It introduces a novel approach to modeling spacetime foam via spinor fields derived from 5D wormhole solutions, linking quantum gravity concepts with supergravity theories.

Findings

Spacetime foam modeled as dielectric with dipoles

Effective supergravity models with non-minimal spinor-electromagnetic interaction

Spinor field description derived from wormhole solutions

Abstract

An approximate model of the spacetime foam is offered in which a quantum handle (wormhole) is a 5D wormhole-like solution. Neglecting the linear sizes of the wormhole throat we can introduce a spinor field for an approximate and effective description of the foam. The definition of the spinor field can be made by a dynamic and non-dynamic ways. In the first case some field equations are used and the second case leads to superspace. It is shown that : the spacetime with the foam is similar to a dielectric with dipoles and supergravity theories with a non-minimal interaction between spinor and electromagnetic fields can be considered as an effective model for the spacetime foam.