Work

Classical characters of spinor fields in torsion gravity

Year: 2024

Type: article

Abstract: We consider the problem of having relativistic quantum mechanics re-formulated with hydrodynamic variables, and specifically the problem of deriving the Mathisson–Papapetrou–Dixon equations (describing the motion of a massive spinning body moving in a gravitational field) from the Dirac equation. The problem will be answered on a general manifold with torsion and gravity. We will demonstrate that when plane waves are considered the MPD equations describe the general relativistic wave-particle duality with torsion (Guedes and Popławski 2024 Class. Quantum Grav. 41 065011), but we will also see that in such a form the MPD equations become trivial.

Source: Classical and Quantum Gravity

DOI: 10.1088/1361-6382/ad8d9e

Author: Luca Fabbri

Institutions: Istituto Nazionale di Fisica Nucleare, Sezione di Genova, University of Genoa

Language: English

Topic: Relativity and Gravitational Theory

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,165

Funder: Instituto Nazionale di Fisica Nucleare