Possible corrections to quantum mechanical predictions in hidden variable model

TL;DR

This paper explores potential modifications to quantum mechanical predictions using a hidden variable model, introducing a parameter that quantifies deviations and aligns with standard quantum mechanics as it approaches zero.

Contribution

The authors derive possible corrections to quantum predictions within a hidden variable framework, extending previous models and identifying conditions where quantum mechanics remains accurate.

Findings

Corrections depend on a dimensionless parameter $\sigma$.

Quantum mechanics is recovered as $\sigma ightarrow 0$.

Model suggests quantum mechanics is reliable at low quantum numbers.

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 $\sigma\rightarrow 0$. Quantum mechanics is argued to be reliable for sufficiently low quantum number.