Year: 2003
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Khrennikov, Andrei, Volovich, Yaroslav
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1602268671