Is gravity inherent to relativistic many-particle systems?

TL;DR

This paper explores whether gravity can be inherently integrated into relativistic many-particle systems by reinterpreting models to satisfy gravitational field equations, potentially bridging quantum mechanics and spacetime curvature.

Contribution

It demonstrates that Lorentz-invariant many-particle models can be reinterpreted to satisfy gravitational field equations through coordinate remapping and manifold construction.

Findings

Remapping coordinates yields a non-trivial Riemannian manifold.

An energy-momentum tensor is outlined and linked to classical counterparts.

Ideas may help address problems of incorporating spacetime curvature into quantum theories.

Abstract

This paper discusses the somewhat unintuitive conjecture that many Lorentz-invariant many-particle models can be reinterpreted to satisfy the gtr field equations. It is shown that a careful remapping of coordinates yields a non-trivial Riemannian manifold. Furthermore an energy-momentum tensor is outlined and it is argued that it may converge to its classical counterpart in the macroscopic limit. These ideas could possibly be used to partially relieve us of some the resilient problems of adding spacetime curvature to modern QM theories.