Possible corrections to quantum mechanical predictions in hidden variable model

Abstract

We derive possible corrections to the statistical predictions of quantum mechanics in measurement over ensemble of identically prepared system based on a hidden variable model of quantization developed in the previous work. The corrections are characterized by a dimensionless parameter $\sigma$ and the prediction of quantum mechanics is reproduced in the formal limit $\sigma \to 0$. Quantum mechanics is argued to be reliable for sufficiently low quantum number.

24 pages, to appear in Physica A

References in corpus (3)

• Research on Hidden Variable Theories: a review of recent progresses
• The Vacuum Fluctuation Theorem: Exact Schroedinger Equation via Nonequilibrium Thermodynamics
• Quantum fluctuations as deviation from classical dynamics of ensemble of trajectories parameterized by unbiased hidden random variable

Cited by in corpus (4)

• Quantization from an exponential distribution of infinitesimal action
• Quantization from Hamilton-Jacobi theory with a random constraint
• Objective uncertainty relation with classical background in a statistical model
• Quantum fluctuations as deviation from classical dynamics of ensemble of trajectories parameterized by unbiased hidden random variable