Structured objects in quantum gravity. The external field approximation

TL;DR

This paper explores the external field approximation in quantum gravity, highlighting how symmetry breaking leads to classical vortical structures and potential dark matter effects, with implications for fermion vortices induced by rotation.

Contribution

It introduces a model where symmetry breaking in EFA creates vortical structures and discusses how these can be made finite-range and conceal matter, offering insights into dark matter phenomena.

Findings

Vortical structures arise from symmetry breaking in EFA.

Massive scalar particles can limit the interaction range.

Fermion vortices can be induced by rotation.

Abstract

In the external field approximation (EFA) gravity and inertia are represented by a two-point vector that is the byproduct of symmetry breaking. The vector is accompanied by the appearance of classical, vortical structures. Its interaction range is, in general, that of the metric tensor, but, in the context of a simple symmetry breaking model, the range can be made finite by the presence of massive scalar particles. Vortices can then be produced that conceal matter making it effectively "dark". In EFA fermion relativistic vortices can be induced, in particular, by rotation.