Quantum interference of a de Broglie wave of a Dirac particle beyond the `hypothesis of locality´. Part III: Geometry

This is the last of three articles that explore the quantum mechanical inertial properties of the Dirac particle beyond the `hypothesis of locality´. This is done within the framework of the Master SpaceTeleparallel Supergravity (MS gp-TSG) (Ter-Kazarian, 2025a) theory, which we recently proposed to account for inertial effects (Ter-Kazarian, 2026). In present article, we review the technical details of geometry beyond the `hypothesis of locality´, referred to the 4D background Minkowski space in noninertial frame of arbitrary accelerating and rotating observer (Ter-Kazarian, 2025b). Given the anholonomic frame and coframe members, the object of anholonomicity and connection (Ter-Kazarian, 2025b), we compute the connection 1-forms, the curvature 2-form and write it in terms of Riemann curvature tensor. Then we derive the Riemann tensor in an anholonomic frame and compute the Riemann tensor, Ricci tensor, Ricci scalar, Kretschmann scalar.