An implicit restriction in the Dirac quantization
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866911521604370432 |
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| author | Geurdes, Han |
| author_facet | Geurdes, Han |
| contents | A restriction was found in the mathematics of the Dirac equation for a free neutrino type of particle. The basic assumption here is the equivalence of the four variables of spacetime. A perspective is defined as a metric tensor format. We asked what happens when we add a perspective where a time variable, $\sim ct$ unit [meter], becomes a space variable, unit [meter], and vice versa. A Lorentz invariant mixed metric tensor equation can be set up in an attempt to describe the neutrino in the cross-hairs of two different perspectives. Despite the equivalence of variables, and despite the fact that no single perspective is likely to be preferred, we find that the neutrino is "internally" changed in the cross-hairs of two different perspectives. Of course, if the two perspectives do not go together this conclusion collapses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08516 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An implicit restriction in the Dirac quantization Geurdes, Han General Physics A restriction was found in the mathematics of the Dirac equation for a free neutrino type of particle. The basic assumption here is the equivalence of the four variables of spacetime. A perspective is defined as a metric tensor format. We asked what happens when we add a perspective where a time variable, $\sim ct$ unit [meter], becomes a space variable, unit [meter], and vice versa. A Lorentz invariant mixed metric tensor equation can be set up in an attempt to describe the neutrino in the cross-hairs of two different perspectives. Despite the equivalence of variables, and despite the fact that no single perspective is likely to be preferred, we find that the neutrino is "internally" changed in the cross-hairs of two different perspectives. Of course, if the two perspectives do not go together this conclusion collapses. |
| title | An implicit restriction in the Dirac quantization |
| topic | General Physics |
| url | https://arxiv.org/abs/2603.08516 |