Understanding quantization: a hidden variable model

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 à la pilot-wave theory and point out new testable predictions.

16 pages, based on a talk given at "Emergent Quantum Mechanics (Heinz von Foerster Conference 2011)", see http://iopscience.iop.org/1742-6596/361/1

References in corpus (12)

• Research on Hidden Variable Theories: a review of recent progresses
• Is the Fair Sampling Assumption supported by EPR Experiments?
• Schrodinger equation from an exact uncertainty principle
• Quantum Theory from Quantum Gravity
• The Vacuum Fluctuation Theorem: Exact Schroedinger Equation via Nonequilibrium Thermodynamics
• Curie-Weiss model of the quantum measurement process
• Statistical Origin of Quantum Mechanics
• Event-by-event simulation of Einstein-Podolsky-Rosen-Bohm experiments
• Bosonic field equations from an exact uncertainty principle
• Information Measures for Inferring Quantum Mechanics
• On a heuristic point of view concerning the motion of matter. From random metric to Schroedinger equation
• Is quantum mechanics based on an invariance principle?