Bulletin of the American Physical Society
Mid-Atlantic Section 2022 Meeting
Volume 67, Number 20
Friday–Sunday, December 2–4, 2022; University Park, PA, Pennsylvania State University
Session G05: Astrophysics and High Energy Physics
9:00 AM–9:36 AM,
Sunday, December 4, 2022
Pennsylvania State University
Room: Osmond 109
Chair: Hugo Ayala, Pennsylvania State University
Abstract: G05.00002 : The Real Dirac Equation*
9:12 AM–9:24 AM
Presenter:
Sokol Andoni
(Tech Univ of Denmark)
Author:
Sokol Andoni
(Tech Univ of Denmark)
By choosing to accomodate the quantization postulate in a real 5D vector space, it becomes possible to generate a Clifford algebra isomorphic to that of the Dirac matrices with all the complex structure arising solely from the vectorial quantities. The fifth dimension relates to handedness / reflection that in the proposed scheme becomes as fundamental as the four dimensions of spacetime. The expanded vector space is therefore named spacetime-reflection, STR. After a short introduction to STR I will sketch the quantization procedure leading to the STR Dirac Equation, STR DE. I will focus on the physical content of the STR DE as illustrated by its manifest covariance, symmetries, conserved currents, spin and nonrelativistic approximation.
*The author acknowledges the Support from the Dept. of Chemistry of the Technical Univesity of Denmark making this oral contribution possible.
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