Interference as a statistical consequence of conjecture on time quant

dc.creatorKhrennikov, Andrei
dc.creatorVolovich, Yaroslav
dc.date2003-08-31
dc.date2004-01-27
dc.date.accessioned2026-07-07T06:07:43Z
dc.date.available2026-07-07T06:07:43Z
dc.descriptionWe 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.
dc.description13 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0309012
dc.identifierhttp://arxiv.org/abs/quant-ph/0309012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91390
dc.subjectQuantum Physics
dc.titleInterference as a statistical consequence of conjecture on time quant
dc.typetext

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