The quantum theory of the electromagnetic field in the Weyl-Wigner representation as a local realistic model
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913889532248064 |
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| author | Santos, Emilio |
| author_facet | Santos, Emilio |
| contents | I revisit the Wigner (or Weyl-Wigner, WW) representation of the quantum electromagnetic field. I show that, assuming that Fock states are just mathematical concepts devoid of physical reality, WW suggests a realistic interpretation which turns out to be (classical) Maxwell theory with the assumption that there is a random radiation filling space, the vacuum field. I elucidate why, in sharp constrast, non-relativistic quantum mechanics of particles does not admit a realistic interpretation via WW. I interpret experiments involving entangled light beams within WW, in particular optical tests of Bell inequalities. I show that WW provides clues in order to construct local model for those experiments. I give arguments why Bell defintion of local realism is not general enough. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_10023 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The quantum theory of the electromagnetic field in the Weyl-Wigner representation as a local realistic model Santos, Emilio General Physics I revisit the Wigner (or Weyl-Wigner, WW) representation of the quantum electromagnetic field. I show that, assuming that Fock states are just mathematical concepts devoid of physical reality, WW suggests a realistic interpretation which turns out to be (classical) Maxwell theory with the assumption that there is a random radiation filling space, the vacuum field. I elucidate why, in sharp constrast, non-relativistic quantum mechanics of particles does not admit a realistic interpretation via WW. I interpret experiments involving entangled light beams within WW, in particular optical tests of Bell inequalities. I show that WW provides clues in order to construct local model for those experiments. I give arguments why Bell defintion of local realism is not general enough. |
| title | The quantum theory of the electromagnetic field in the Weyl-Wigner representation as a local realistic model |
| topic | General Physics |
| url | https://arxiv.org/abs/2506.10023 |