Quantum equations of motion and the geometrical imperative II: relativistic
General Physics
2024-10-30 v1 High Energy Physics - Theory
Quantum Physics
Abstract
We extract the square root of the Minkowski metric using Dirac/Clifford matrices. The resulting operator that represents the square root, can be used to transform four vectors between relatively moving observers. This effects the usual Lorentz transformation. In addition it acts on a Dirac bi-spinor. The operator is essentially a Hamiltonian that can be used to write an equation of motion for a relativistic spinor. This turns out to be the Dirac equation for electrons in standard form. We believe that is is a new approach to familiar results.
Keywords
Cite
@article{arxiv.2410.21305,
title = {Quantum equations of motion and the geometrical imperative II: relativistic},
author = {R N Henriksen},
journal= {arXiv preprint arXiv:2410.21305},
year = {2024}
}
Comments
20 pages no figures