Axial Torsion-Dirac spin Effect in Rotating Frame with Relativistic Factor

TL;DR

This paper investigates the Dirac particle spin precession in a torsion spacetime within a rotating frame, deriving a rotation-spin coupling formula applicable to high-speed rotations, with implications for relativistic quantum effects.

Contribution

It introduces a new derivation of the rotation-spin coupling in a torsion spacetime considering relativistic effects, extending previous models to high-speed rotations.

Findings

Derived a rotation-spin coupling formula valid for relativistic rotating frames.

Showed the equivalent metric remains Minkowski despite torsion and rotation.

Confirmed the formula's consistency with relativistic expectations.

Abstract

In the framework of spacetime with torsion and without curvature, the Dirac particle spin precession in the rotational system is studied. We write out the equivalent tetrad of rotating frame, in the polar coordinate system, through considering the relativistic factor, and the resultant equivalent metric is a flat Minkowski one. The obtained rotation-spin coupling formula can be applied to the high speed rotating case, which is consistent with the expectation.