pith. sign in

arxiv: 1806.05545 · v1 · pith:W7PDAHHSnew · submitted 2018-06-12 · 🪐 quant-ph

On the Physical Interpretation of the Dirac Wavefunction II: The Massive Dirac Field

classification 🪐 quant-ph
keywords diracalgebradistinctionfieldgeometricinterpretationmassivescalar
0
0 comments X
read the original abstract

Using the language of the Geometric Algebra, we recast the massive Dirac bispinor as a set of Lorentz scalar, vector, bivector, pseudovector, and pseudoscalar fields that obey a generalized form of Maxwell's equations of electromagnetism. This field-based formulation requires careful distinction between geometric and non-geometric implementations of the imaginary unit scalar in the Dirac algebra. This distinction, which is obscured in conventional treatments, allows us to find alternative constructions of the field bilinears and a more natural interpretation of the discrete C, P, and T transformations.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.