Pale Glares of Dark Matter in Quantum Spacetime

TL;DR

This paper explores how quantum spacetime modifies classical electrodynamics, potentially allowing dark matter scalar fields to interact electromagnetically, though current effects are too subtle for detection.

Contribution

It demonstrates that quantum spacetime can turn a U(1) gauge theory into a U(∞) gauge theory, enabling electromagnetic interactions of neutral scalar fields like dark matter.

Findings

Quantum spacetime induces electromagnetic interactions in scalar fields.

Effects are currently too faint for experimental detection.

Potential implications for gravitational collapse and Bose-Einstein condensates.

Abstract

A U(1) gauge theory turns, on physically motivated models of Quantum Spacetime, into a U($\infty$) gauge theory, hence free classical electrodynamics is no longer free and neutral fields may have electromagnetic interactions. We discuss the last point for scalar fields, possibly describing dark matter; we have in mind the gravitational collapse of binary systems or future applications to self gravitating Bose-Einstein condensates as possible sources of evidence of quantum gravitational phenomena. The effects so far considered, however, seem too faint to be detectable at present.