Heisenberg’s uncertainty principle at the Planck scale extends to extensions of Dirac equations. In this paper, the generalized uncertainty problem (GUP) theory is used as an extension of the Dirac equation with the mass term m_1+iγ^5 m_2 (tachyonic) in the Schwarzschild metric. The eigenvalue problem for a particle in a gravitational field a central mass creates is also solved. The fundamental spinor solution for the tachyonic Dirac equation is found on a helicity basis. This study shows that it is impossible with current theories to formulate a covariant equation that could be repulsed by gravity in the framework of space-like particles.
Keywords: Generalized Uncertainty Principle, Relativistic Quantum Mechanics, Tachyonic Dirac Equation, Schwarzschild Metric
Volume 431 -
8th Symposium on Prospects in the Physics of Discrete Symmetries (DISCRETE2022) -
Astroparticle Physics and cosmology
Tachyonic Dirac Equation in Schwarzschild Metric
Full text:
pdf
Pre-published on:
January 31, 2024
Published on:
February 01, 2024
Abstract
DOI: https://doi.org/10.22323/1.431.0025
How to cite
Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.
Open Access
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.