Uncertainty Principle Respects Locality

TL;DR

This paper argues that quantum mechanics respects locality through the uncertainty principle, challenging the notion of nonlocality and showing that quantum bounds can be derived from uncertainty relations, with implications for understanding quantum structure.

Contribution

It demonstrates that the quantum bound on CHSH inequality can be derived from the uncertainty principle, challenging the idea of nonlocality in quantum mechanics.

Findings

Quantum bound on CHSH inequality derived from uncertainty relations.

Super-quantum correlations are not physically comparable to quantum correlations.

Quantum mechanics respects locality through the uncertainty principle.

Abstract

The notion of nonlocality implicitly implies there might be some kind of spooky action at a distance in nature, however, the validity of quantum mechanics has been well tested up to now. In this work it is argued that the notion of nonlocality is physically improper, the basic principle of locality in nature is well respected by quantum mechanics, namely, the uncertainty principle. We show that the quantum bound on the Clauser, Horne, Shimony, and Holt (CHSH) inequality can be recovered from the uncertainty relation in a multipartite setting. We further argue that the super-quantum correlation demonstrated by the nonlocal box is not physically comparable with the quantum one. The origin of the quantum structure of nature still remains to be explained, some post-quantum theory which is more complete in some sense than quantum mechanics is possible and might not necessarily be a hidden variable theory.