Rotation intrinsic spin coupling--the parallelism description

TL;DR

This paper explores how rotational effects influence Dirac particles through spin connection modifications, linking geometric torsion to rotational angular velocity and confirming the rotation-spin interaction predicted by Mashhoon.

Contribution

It provides a simplified geometric derivation of rotation-induced spin coupling, connecting torsion axial-vector to angular velocity and confirming Mashhoon's predictions.

Findings

Torsion axial-vector equals rotational angular velocity.

Rotation induces a spin precession consistent with Mashhoon's rotation-spin interaction.

The derivation offers a straightforward geometric interpretation of spin coupling in rotational systems.

Abstract

For the Dirac particle in the rotational system, the rotation induced inertia effect is analogously treated as the modification of the "spin connection" on the Dirac equation in the flat spacetime, which is determined by the equivalent tetrad. From the point of view of parallelism description of spacetime, the obtained torsion axial-vector is just the rotational angular velocity, which is included in the "spin connection". Furthermore the axial-vector spin coupling induced spin precession is just the rotation-spin(1/2) interaction predicted by Mashhoon. Our derivation treatment is straightforward and simplified in the geometrical meaning and physical conception, however the obtained conclusions are consistent with that of the other previous work.