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Group theoretical derivation of consistent particle theories
by Giuseppe Nisticò
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Submission summary
| Authors (as registered SciPost users): | Giuseppe Antonio Nisticò |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202212_00034v1 (pdf) |
| Date submitted: | 2022-12-16 15:15 |
| Submitted by: | Nisticò, Giuseppe Antonio |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 34th International Colloquium on Group Theoretical Methods in Physics (GROUP2022) |
| Ontological classification | |
|---|---|
| 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.
Current status:
Reports on this Submission
Report #1 by Anonymous (Referee 1) on 2023-1-24 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202212_00034v1, delivered 2023-01-23, doi: 10.21468/SciPost.Report.6599
Strengths
This paper is dedicated to study of unusual classes of
relativistic quantum theories. It is well written and well structured.
I do not see any flaws. The paper deserves publication.
Weaknesses
I would advise only the author to consider the citation of
the following papers:
On evidence for negative energies and masses in
the Dirac equation through a unitary time-reversal
operator.
N Debergh et al 2018 J. Phys. Commun. 2 115012.
Spinor Structure and Internal Symmetries
V.V. Varlamov(Siberia St. U. Industry) (Sep 4, 2014)
Int.J.Theor.Phys. 54 (2015) 10, 3533-3576-
And, perhaps, the old papers by Yu. Shirokov in JETP.
Report
This paper is dedicated to study of unusual classes of
relativistic quantum theories. It is well written and well structured.
I do not see any flaws. The paper deserves publication.
I would advise only the author to consider the citation of
the following papers:
On evidence for negative energies and masses in
the Dirac equation through a unitary time-reversal
operator.
N Debergh et al 2018 J. Phys. Commun. 2 115012.
Spinor Structure and Internal Symmetries
V.V. Varlamov(Siberia St. U. Industry) (Sep 4, 2014)
Int.J.Theor.Phys. 54 (2015) 10, 3533-3576-
And, perhaps, the old papers by Yu. Shirokov in JETP.