Emergence of space-time and gravitation

TL;DR

This paper explores how irreducibility in relativistic quantum mechanics leads to emergent gravitational interactions for spinless particles, aligning with classical conformal gravity and matching empirical gravitational strength.

Contribution

It demonstrates that irreducibility in multi-particle systems of spinless particles naturally results in a gravitational force described by conformal gravity, a novel theoretical insight.

Findings

Irreducibility induces a gravitational force in spinless particle systems.

The emergent gravity matches the strength of observed gravity.

Classical limit aligns with conformal gravity field equations.

Abstract

In relativistic quantum mechanics, elementary particles are described by irreducible unitary representations of the Poincare group. The same applies to the center-of-mass kinematics of a multi-particle system that is not subject to external forces. As shown in a previous article, for spin-1/2 particles, irreducibility leads to a correlation between the particles that has the structure of the electromagnetic interaction, as described by the perturbation algorithm of quantum electrodynamics. The present article examines the consequences of irreducibility for a multi-particle system of spinless particles. In this case, irreducibility causes a gravitational force, which in the classical limit is described by the field equations of conformal gravity. The strength of this force has the same order of magnitude as the strength of the empirical gravitational force.