Non-Markovian Beables vs. Massive Parallelism

TL;DR

This paper introduces a classical dynamical model that mimics quantum massive parallelism as an emergent property, balancing non-locality with non-Markovian dynamics to challenge traditional hidden variable theories.

Contribution

It presents a novel classical model that reproduces quantum parallelism emergently, contrasting with Bell's models by allowing localized parts at the expense of non-Markovian behavior.

Findings

Model reduces to Bell's Bohmian mechanics in a limit

Exhibits quantum-like massive parallelism emergently

Maintains non-local dynamics with localized parts

Abstract

A simple dynamical model over a discrete classical state space is presented. In a certain limit, it reduces to one in a class of models subsuming Bell's field-theoretic version of Bohmian mechanics. But it exhibits the massive parallelism native to quantum mechanics only as an emergent phenomenon, in contrast with Bell's and other hidden variable theories. While still non-local in its dynamics, the model thus restores our ability to regard a system as a combination of separate, localized parts, at the price of admitting non-Markovian dynamics.