dorsal/arxiv
View SchemaDegenerate space-time paths and the non-locality of quantum mechanics in a Clifford substructure of space-time
| Authors | Kaare Borchsenius |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9906040 |
| URL | https://arxiv.org/abs/quant-ph/9906040 |
| Journal | Math.Phys.Electron.J.6:4,1999 |
Abstract
The quantized canonical space-time coordinates of a relativistic point particle are expressed in terms of the elements of a complex Clifford algebra which combines the complex properties of SL(2.C) and quantum mechanics. When the quantum measurement principle is adapted to the generating space of the Clifford algebra we find that the transition probabilities for twofold degenerate paths in space-time equals the transition amplitudes for the underlying paths in Clifford space. This property is used to show that the apparent non-locality of quantum mechanics in a double slit experiment and in an EPR type of measurement is resolved when analyzed in terms of the full paths in the underlying Clifford space. We comment on the relationship of this model to the time symmetric formulation of quantum mechanics and to the Wheeler-Feynman model.
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"abstract": "The quantized canonical space-time coordinates of a relativistic point\nparticle are expressed in terms of the elements of a complex Clifford algebra\nwhich combines the complex properties of SL(2.C) and quantum mechanics. When\nthe quantum measurement principle is adapted to the generating space of the\nClifford algebra we find that the transition probabilities for twofold\ndegenerate paths in space-time equals the transition amplitudes for the\nunderlying paths in Clifford space. This property is used to show that the\napparent non-locality of quantum mechanics in a double slit experiment and in\nan EPR type of measurement is resolved when analyzed in terms of the full paths\nin the underlying Clifford space. We comment on the relationship of this model\nto the time symmetric formulation of quantum mechanics and to the\nWheeler-Feynman model.",
"arxiv_id": "quant-ph/9906040",
"authors": [
"Kaare Borchsenius"
],
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"quant-ph"
],
"journal_ref": "Math.Phys.Electron.J.6:4,1999",
"title": "Degenerate space-time paths and the non-locality of quantum mechanics in a Clifford substructure of space-time",
"url": "https://arxiv.org/abs/quant-ph/9906040"
},
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