dorsal/arxiv
View SchemaA non-local, Lorentz-invariant, hidden-variable interpretation of relativistic quantum mechanics based on particle trajectories
| Authors | George Horton, Chris Dewdney |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0110007 |
| URL | https://arxiv.org/abs/quant-ph/0110007 |
| DOI | 10.1088/0305-4470/34/46/310 |
Abstract
We demonstrate how to construct a lorentz-invariant, hidden-variable interpretation of relativistic quantum mechanics based on particle trajectories. The covariant theory that we propose employs a multi-time formalism and a lorentz-invariant rule for the coordination of the space-time points on the individual particle trajectories. In this way we show that there is no contradiction between nonlocality and lorentz invariance in quantum mechanics. The approach is illustrated for relativistic bosons, using a simple model to discuss the individual non-locally correlated particle motion which ensues when the wavefunction is entangled. A simple example of measurement is described.
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"abstract": "We demonstrate how to construct a lorentz-invariant, hidden-variable\ninterpretation of relativistic quantum mechanics based on particle\ntrajectories. The covariant theory that we propose employs a multi-time\nformalism and a lorentz-invariant rule for the coordination of the space-time\npoints on the individual particle trajectories. In this way we show that there\nis no contradiction between nonlocality and lorentz invariance in quantum\nmechanics. The approach is illustrated for relativistic bosons, using a simple\nmodel to discuss the individual non-locally correlated particle motion which\nensues when the wavefunction is entangled. A simple example of measurement is\ndescribed.",
"arxiv_id": "quant-ph/0110007",
"authors": [
"George Horton",
"Chris Dewdney"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/34/46/310",
"title": "A non-local, Lorentz-invariant, hidden-variable interpretation of relativistic quantum mechanics based on particle trajectories",
"url": "https://arxiv.org/abs/quant-ph/0110007"
},
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