Gravitomagnetic Stern--Gerlach Force

TL;DR

This paper explores the gravitomagnetic Stern--Gerlach force within linearized general relativity, showing its relation to classical spin-curvature forces and discussing its implications for spin-rotation-gravity coupling.

Contribution

It provides a heuristic description of the spin-rotation-gravity coupling and demonstrates the gravitomagnetic Stern--Gerlach force's connection to classical spin-curvature interactions.

Findings

The gravitomagnetic Stern--Gerlach force reduces to the Mathisson spin-curvature force in the classical limit.

A heuristic framework for understanding spin-rotation-gravity coupling is presented.

Implications of the gravitomagnetic Stern--Gerlach force are briefly discussed.

Abstract

A heuristic description of the spin-rotation-gravity coupling is presented and the implications of the corresponding gravitomagnetic Stern--Gerlach force are briefly mentioned. It is shown, within the framework of linearized general relativity, that the gravitomagnetic Stern--Gerlach force reduces in the appropriate correspondence limit to the classical Mathisson spin-curvature force.