dorsal/arxiv
View SchemaIrreducible Multi-Particle Representations of the Poincar\'e Group as a Basis for the Standard Model
| Authors | Walter Smilga |
|---|---|
| Categories | |
| ArXiv ID | 2601.07875vv1 |
| URL | https://arxiv.org/abs/2601.07875 |
| DOI | 10.1088/1742-6596/3152/1/012014 |
| Journal | J. Phys.: Conf. Ser. 3152 012014 (2025) |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
A phenomenological description of the Stern--Gerlach experiment yields a mathematical structure equivalent to that of a spin-1/2 particle, described by an irreducible unitary representation of the Poincar\'e group. In the corresponding irreducible two-particle representation, two-particle states have the form of an integral over product states. They describe a correlation between the particles with the structure of the electromagnetic interaction and a coupling constant that numerically equals the electromagnetic coupling constant. This coupling constant is essentially the normalisation factor of these two-particle states. The Standard Model of particle physics describes the electromagnetic interaction by a perturbation algorithm, where the experimental value of the electromagnetic coupling constant is inserted by hand. It is argued that it does not make sense to insert a normalisation factor without checking the range of integration of the corresponding integral and adjusting it if necessary. This adjustment provides the perturbation algorithm with the mathematically consistent structure of a non-local, relativistic, two-particle quantum mechanics. Similarly, multi-particle representations determine a gravitational interaction that, in the quasi-classical limit, is described by the field equations of conformal gravity. A calculated, galaxy-specific value of the gravitational constant matches the experimental value.
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"abstract": "A phenomenological description of the Stern--Gerlach experiment yields a mathematical structure equivalent to that of a spin-1/2 particle, described by an irreducible unitary representation of the Poincar\\\u0027e group. In the corresponding irreducible two-particle representation, two-particle states have the form of an integral over product states. They describe a correlation between the particles with the structure of the electromagnetic interaction and a coupling constant that numerically equals the electromagnetic coupling constant. This coupling constant is essentially the normalisation factor of these two-particle states. The Standard Model of particle physics describes the electromagnetic interaction by a perturbation algorithm, where the experimental value of the electromagnetic coupling constant is inserted by hand. It is argued that it does not make sense to insert a normalisation factor without checking the range of integration of the corresponding integral and adjusting it if necessary. This adjustment provides the perturbation algorithm with the mathematically consistent structure of a non-local, relativistic, two-particle quantum mechanics. Similarly, multi-particle representations determine a gravitational interaction that, in the quasi-classical limit, is described by the field equations of conformal gravity. A calculated, galaxy-specific value of the gravitational constant matches the experimental value.",
"arxiv_id": "2601.07875",
"authors": [
"Walter Smilga"
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"doi": "10.1088/1742-6596/3152/1/012014",
"journal_ref": "J. Phys.: Conf. Ser. 3152 012014 (2025)",
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Irreducible Multi-Particle Representations of the Poincar\\\u0027e Group as a Basis for the Standard Model",
"url": "https://arxiv.org/abs/2601.07875",
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