Discrete Time Leads to Quantum-Like Interference of Deterministic Particles

Abstract

In this note we demonstrate that a quantum-like interference picture could appear as a statistical effect of interference of deterministic particles, i.e. particles that have trajectories and obey deterministic equations, if one introduces a discrete time. The nature of the resulting interference picture does not follow from the geometry of force field, but is strongly attached to the time discreetness parameter. As a demonstration of this concept we consider a scattering of charged particles on the charged screen with a single slit. The resulting interference picture has a nontrivial minimum-maximum distribution which vanishes as the time discreetness parameter goes to zero that could be interpreted as an analog of quantum decoherence.

References in corpus (2)

• Växjö Interpretation of Quantum Mechanics
• Numerical Experiment on Interference for Macroscopic Particles

Cited by in corpus (5)

• Noncommutative probability in classical systems
• A discrete approach to the vacuum Maxwell equations and the fine structure constant
• A discrete and finite approach to past proper time
• Energy Levels of "Hydrogen Atom" in Discrete Time Dynamics
• Interference as a statistical consequence of conjecture on time quant