Quantum fluctuations as deviation from classical dynamics of ensemble of trajectories parameterized by unbiased hidden random variable

TL;DR

This paper introduces a new quantization method using an unbiased hidden variable, providing a statistical modification of classical trajectories and offering a wave function collapse-free quantum measurement approach.

Contribution

It presents a novel quantization technique based on hidden variables that simplifies operator ordering and enables quantum measurement without wave function collapse.

Findings

The method offers a clear physical interpretation of quantization.

It results in a unique operator ordering.

It facilitates quantum measurement without wave function collapse.

Abstract

A quantization method based on replacement of c-number by c-number parameterized by an unbiased hidden random variable is developed. In contrast to canonical quantization, the replacement has straightforward physical interpretation as statistical modification of classical dynamics of ensemble of trajectories, and implies a unique operator ordering. We then apply the method to develop quantum measurement without wave function collapse \'a la pilot-wave theory.