Spacetime Warps for Spinning Particles Possible?

TL;DR

This paper explores how incorporating spinning particles into classical General Relativity can lead to spacetime warps, due to modifications in the connection and the non-commutativity of derivatives.

Contribution

It introduces a non-minimal extension of the theory that allows for spacetime warps for spinning particles, highlighting a novel aspect of classical gravity.

Findings

Spacetime warps become possible with spinning particles.

Asymmetrical connection implies non-commuting derivatives.

Extension of function class is necessary for this framework.

Abstract

By incorporating spinning particles into the framework of classical General Relativity, the theory is changed insofar, as, though using holonome coordinates, the connexion becomes asymmetrical. This implies, that partial derivatives do not commute any longer. Hence, the class of functions under consideration has to be extended. A non-minimal extension leads to the possibility of spacetime warps for spinning particles.