dorsal/arxiv
View SchemaStochastic particle annihilation: a model of state reduction in relativistic quantum field theory
| Authors | D. J. Bedingham |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703011 |
| URL | https://arxiv.org/abs/quant-ph/0703011 |
Abstract
A model of state reduction in relativistic quantum field theory involving a nonlinear stochastic extension of Schr\"odinger's equation is outlined. The eigenstates of the annihilation operator are chosen as the preferred basis onto which reduction occurs. These are the coherent states which saturate the bound of the Heisenberg uncertainty relation, exhibiting classical-like behavior. The quantum harmonic oscillator is studied in detail before generalizing to relativistic scalar quantum field theory. The infinite rates of increase in energy density which have plagued recent relativistic proposals of dynamical state reduction are absent in this model. This is because the state evolution equation does not drive particle creation from the vacuum. The model requires the specification of a preferred sequence of space-like hyper-surfaces supporting the time-like state evolution. However, it is shown that the choice of preferred surfaces has no effect on perturbative results to second order in the coupling parameter. It is demonstrated how state reduction to a charge density basis can be induced in fermionic matter via an appropriate coupling to a bosonic field undergoing this mechanism.
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"abstract": "A model of state reduction in relativistic quantum field theory involving a\nnonlinear stochastic extension of Schr\\\"odinger\u0027s equation is outlined. The\neigenstates of the annihilation operator are chosen as the preferred basis onto\nwhich reduction occurs. These are the coherent states which saturate the bound\nof the Heisenberg uncertainty relation, exhibiting classical-like behavior. The\nquantum harmonic oscillator is studied in detail before generalizing to\nrelativistic scalar quantum field theory. The infinite rates of increase in\nenergy density which have plagued recent relativistic proposals of dynamical\nstate reduction are absent in this model. This is because the state evolution\nequation does not drive particle creation from the vacuum. The model requires\nthe specification of a preferred sequence of space-like hyper-surfaces\nsupporting the time-like state evolution. However, it is shown that the choice\nof preferred surfaces has no effect on perturbative results to second order in\nthe coupling parameter. It is demonstrated how state reduction to a charge\ndensity basis can be induced in fermionic matter via an appropriate coupling to\na bosonic field undergoing this mechanism.",
"arxiv_id": "quant-ph/0703011",
"authors": [
"D. J. Bedingham"
],
"categories": [
"quant-ph"
],
"title": "Stochastic particle annihilation: a model of state reduction in relativistic quantum field theory",
"url": "https://arxiv.org/abs/quant-ph/0703011"
},
"schema_id": "dorsal/arxiv",
"source": {
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"type": "Model",
"variant": "snapshot-2026-03-01",
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