Quantum equations of motion and the geometrical imperative II: relativistic
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910673935532032 |
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| author | Henriksen, R N |
| author_facet | Henriksen, R N |
| contents | We extract the square root of the Minkowski metric using Dirac/Clifford matrices. The resulting $4\times 4$ operator $d{\bf S}$ that represents the square root, can be used to transform four vectors between relatively moving observers. This effects the usual Lorentz transformation. In addition it acts on a Dirac bi-spinor. The operator is essentially a Hamiltonian that can be used to write an equation of motion for a relativistic spinor. This turns out to be the Dirac equation for electrons in standard form. We believe that is is a new approach to familiar results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21305 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum equations of motion and the geometrical imperative II: relativistic Henriksen, R N General Physics High Energy Physics - Theory Quantum Physics We extract the square root of the Minkowski metric using Dirac/Clifford matrices. The resulting $4\times 4$ operator $d{\bf S}$ that represents the square root, can be used to transform four vectors between relatively moving observers. This effects the usual Lorentz transformation. In addition it acts on a Dirac bi-spinor. The operator is essentially a Hamiltonian that can be used to write an equation of motion for a relativistic spinor. This turns out to be the Dirac equation for electrons in standard form. We believe that is is a new approach to familiar results. |
| title | Quantum equations of motion and the geometrical imperative II: relativistic |
| topic | General Physics High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2410.21305 |