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Group theoretical derivation of consistent particle theories
by Giuseppe Nisticò
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Giuseppe Antonio Nisticò |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202212_00034v2 (pdf) |
| Date accepted: | 2023-08-11 |
| Date submitted: | 2023-03-06 11:24 |
| Submitted by: | Nisticò, Giuseppe Antonio |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 34th International Colloquium on Group Theoretical Methods in Physics (GROUP2022) |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Current quantum theories of an elementary free particle assume unitary space inversion and anti-unitary time reversal operators. In so doing robust classes of possible theories are discarded. The present work shows that consistent theories can be derived through a strictly deductive development from the principle of relativistic invariance and position covariance, also with anti-unitary space inversion and unitary time reversal operators. In doing so the class of possible consistent theories is extended for positive but also zero mass particles. In particular, consistent theories for a Klein-Gordon particle are derived and the non-localizability theorem for a non zero helicity massless particle is extended.
Author comments upon resubmission
The indicated papers are now cited in the introduction and added to the references.
Moreover, misprints have been corrected.
List of changes
1. The further papers: 1. N. Debergh, J-P. Petit, G. D’Agostini, On evidence for negative energies and masses in the
Dirac equation through a unitary time-reversal operator, J. Phys. Commun. 2, 115012
(2018), https://doi.org/10.1088/2399-6528/aaedcc.
2. V. V. Varlamov, Spinor Structure and Internal Symmetries, Int. J. Theor. Phys. 54, 3533
(2015), https://doi.org/10.1007/s10773-015-2596-0.
suggested by the report are cited in the introuction and added to the references
2. Misprints have been corrected
Published as SciPost Phys. Proc. 14, 040 (2023)