dorsal/arxiv
View SchemaInterference as a statistical consequence of conjecture on time quant
| Authors | Andrei Khrennikov, Yaroslav Volovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0309012 |
| URL | https://arxiv.org/abs/quant-ph/0309012 |
Abstract
We analyze statistical consequences of a conjecture that there exists a fundamental (indivisible) quant of time. We study particle dynamics with discrete time. We show that a quantum-like interference pattern could appear as a statistical effect for deterministic particles, i.e. particles that have trajectories and obey deterministic dynamical equations, if one introduces a discrete time. As a demonstration of this concept we consider particle scattering on a screen with a slit. We study how resulting interference picture depends on the parameters of the model. The resulting interference picture has a nontrivial minimum-maximum distribution which vanishes, as the time discreteness parameter goes to zero. This picture is qualitatively the same as one obtained in quantum experiments. The picture includes some interesting nonclassical properties such as a 'black' region behind the center of the slit.
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"abstract": "We analyze statistical consequences of a conjecture that there exists a\nfundamental (indivisible) quant of time. We study particle dynamics with\ndiscrete time. We show that a quantum-like interference pattern could appear as\na statistical effect for deterministic particles, i.e. particles that have\ntrajectories and obey deterministic dynamical equations, if one introduces a\ndiscrete time. As a demonstration of this concept we consider particle\nscattering on a screen with a slit. We study how resulting interference picture\ndepends on the parameters of the model. The resulting interference picture has\na nontrivial minimum-maximum distribution which vanishes, as the time\ndiscreteness parameter goes to zero. This picture is qualitatively the same as\none obtained in quantum experiments. The picture includes some interesting\nnonclassical properties such as a \u0027black\u0027 region behind the center of the slit.",
"arxiv_id": "quant-ph/0309012",
"authors": [
"Andrei Khrennikov",
"Yaroslav Volovich"
],
"categories": [
"quant-ph"
],
"title": "Interference as a statistical consequence of conjecture on time quant",
"url": "https://arxiv.org/abs/quant-ph/0309012"
},
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