Quantum dynamics and kinematics from a statistical model selected by the principle of Locality

TL;DR

This paper derives quantum mechanics, including the Schrödinger equation and uncertainty relations, from a local causality-based statistical model with stochastic deviations, providing a new physical interpretation of Planck's constant.

Contribution

It introduces a unique statistical model based on local causality that reproduces quantum mechanics without nonlocality, offering a novel physical interpretation of quantization and Planck's constant.

Findings

Derives Schrödinger equation from a local causality-based stochastic model.

Shows quantum averages match classical averages over configuration distributions.

Provides a physical interpretation of Planck's constant as average stochastic deviation.

Abstract

Quantum mechanics predicts correlation between spacelike separated events which is widely argued to violate the principle of Local Causality. By contrast, here we shall show that the Schr\"odinger equation with Born's statistical interpretation of wave function and uncertainty relation can be derived from a statistical model of microscopic stochastic deviation from classical mechanics which is selected uniquely, up to a free parameter, by the principle of Local Causality. Quantization is thus argued to be physical and Planck constant acquires an interpretation as the average stochastic deviation from classical mechanics in a microscopic time scale. Unlike canonical quantization, the resulting quantum system always has a definite configuration all the time as in classical mechanics, fluctuating randomly along a continuous trajectory. The average of the relevant physical quantities over the distribution of the configuration are shown to be equal numerically to the quantum mechanical average of the corresponding Hermitian operators over a quantum state.