Quantum-Like Correlations from Local Hidden-Variable Theories Under Conservation Law

TL;DR

This paper presents a local hidden-variable model that violates Bell inequalities by incorporating measurement errors due to conservation laws, offering a new perspective on quantum correlations without invoking superdeterminism or retrocausality.

Contribution

It introduces a physically-motivated supermeasured model that explains quantum-like correlations through measurement errors linked to conservation laws, challenging traditional assumptions.

Findings

The model violates Bell inequalities without superdeterminism or retrocausality.

It predicts subtle differences from quantum mechanics that are experimentally testable.

Measurement errors tied to conservation laws can produce quantum-like correlations.

Abstract

The precision with which we can measure operators that do not commute with conserved quantities is limited by the need to preserve the associated global symmetries. We show how to construct a local hidden-variable model that violates Bell inequalities by interpreting this measurement error as altering the measure space of the hidden variables. This provides a physically-motivated example of a supermeasured model, where the statistical independence assumption used to form Bell inequalities is violated without there being a causal dependence of the measurement settings on the hidden variables (superdeterminism) or a causal dependence of the hidden variables on the measurement settings (retrocausality). The model also gives subtly different predictions to quantum mechanics, that could be tested experimentally.