TL;DR
This paper introduces superspinors, a novel formalism replacing the Lorentz group with a compact semisimple Lie group, to describe particles and antiparticles obeying Fermi-Dirac statistics.
Contribution
It proposes a new mathematical framework using superspinors and a different symmetry group to model fundamental particles.
Findings
Superspinors can represent particles and antiparticles.
The formalism adheres to Fermi-Dirac statistics.
The approach offers a new perspective on particle symmetries.
Abstract
We propose to replace the classical Lorentz group with a compact semisimple Lie group. The results are rendered via the formalism of superspinors - objects identifiable as particles or antiparticles, and governed by the Fermi-Dirac statistics.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Cancer Treatment and Pharmacology