Classical Simulation of Double Slit Interference via Ballistic Diffusion

Abstract

Based on a proposed classical explanation, the quantum mechanical "decay of the wave packet" is shown to simply result from sub-quantum diffusion with a specific diffusivity varying in time due to a particle's changing thermal environment. The exact quantum mechanical intensity distribution, as well as the corresponding trajectory distribution and the velocity field of a Gaussian wave packet are therewith computed. We utilize no quantum mechanics, but only familiar simulation techniques for diffusion, e.g., finite differences or coupled map lattices (CML).

4 pages, based on a poster presented at "Emergent Quantum Mechanics (Heinz von Foerster Conference 2011)", see http://www.univie.ac.at/hvf11/congress/EmerQuM.html

References in corpus (2)

• The Quantum as an Emergent System
• Emergence and Collapse of Quantum Mechanical Superposition: Orthogonality of Reversible Dynamics and Irreversible Diffusion

Cited by in corpus (4)

• The Quantum as an Emergent System
• Quantum features derived from the classical model of a bouncer-walker coupled to a zero-point field
• Modeling double slit interference via anomalous diffusion: independently variable slit widths
• Emergent quantum mechanics as a classical, irreversible thermodynamics