World Nematic Crystal Model of Gravity Explaining the Absence of Torsion

TL;DR

This paper proposes a model where spacetime behaves like an elastic medium at small scales, leading to a gravity theory similar to general relativity without torsion, derived from a nematic crystal analogy.

Contribution

It introduces a novel nematic crystal model of spacetime that explains the absence of torsion and reproduces Einstein's spacetime at large scales.

Findings

Spacetime modeled as a quantum nematic liquid with curvature rigidity.

The medium does not support torsion, aligning with Einstein's theory.

Presence of string-like curvature sources forming world surfaces.

Abstract

Assuming that at small distances space-time is equivalent to an elastic medium which is isotropic in space and time directions, we demonstrate that the quantum nematic liquid arising from this crystal by spontaneous proliferation of dislocations corresponds with a medium which is merely carrying curvature rigidity. This medium is at large distances indistinguishable from Einstein's spacetime of general relativity. It does not support torsion and possesses string-like curvature sources which in spacetime form world surfaces.