Tachyons with any Spin
Abstract
In earlier work we showed how to handle the Group Theoretical issue of the Little Group for spin 1/2 tachyons by introducing a special metric in the Hilbert space of one-particle states. Here that technique is extended to tachyons of any spin. Examining the bi-linear algebra of the generating matrices for spin 5/2, we find a complete basis for the Gell-Mann matrices that form the Lie algebra for SU(3). A Dirac-like equation is developed for tachyons of any integer-plus-one-half spin; and it shows multiple distinct mass eigenvalues. The primary model shows a mass spectrum (in the case of j = 5/2) that roughly mimics the known data on masses of the three neutrinos; the model can be tweaked to fit that experimental data precisely.
Cite
@article{arxiv.2105.03017,
title = {Tachyons with any Spin},
author = {Charles Schwartz},
journal= {arXiv preprint arXiv:2105.03017},
year = {2022}
}
Comments
12 pages; some new material beyond v2