Understanding quantization: a hidden variable model

TL;DR

This paper introduces a new quantization method based on stochastic c-number replacement, offering a clearer interpretation of quantum systems and proposing a measurement approach without wave function collapse, with testable predictions.

Contribution

It presents a novel quantization technique that avoids operator ordering issues and interprets quantum systems as statistical modifications of classical trajectories.

Findings

A new quantization method free from operator ambiguity

Development of a measurement framework without wave function collapse

Identification of testable predictions distinct from standard quantum theory

Abstract

We argue that to solve the foundational problems of quantum theory one has to first understand what it means to quantize a classical system. We then propose a quantization method based on replacement of deterministic c-numbers by stochastically-parameterized c-numbers. Unlike canonical quantization, the method is free from operator ordering ambiguity and the resulting quantum system has a straightforward interpretation as statistical modification of ensemble of classical trajectories. We then develop measurement without wave function collapse \`a la pilot-wave theory and point out new testable predictions.