Spin half in classical general relativity

TL;DR

This paper demonstrates that classical general relativity models of particles, called geons, exhibit spinor transformation properties if the spacetime is non-time-orientable, potentially explaining the quantum necessity of spinor fields.

Contribution

It introduces a classical GR model where non-time-orientability leads to spinor behavior, offering a new perspective on the quantum-classical connection.

Findings

Geons in non-time-orientable spacetimes behave like spinors.

Classical GR models can account for spinor transformation properties.

Non-time-orientability may underlie quantum phenomena.

Abstract

It is shown that models of elementary particles in classical general relativity (geons) will naturally have the transformation properties of a spinor if the spacetime manifold is not time orientable. From a purely pragmatic interpretation of quantum theory this explains why spinor fields are needed to represent particles. The models are based entirely on classical general relativity and are motivated by the suggestion that the lack of a time-orientation could be the origin of quantum phenomena.