Space Isotropy and Homogeneity Principles Determine the Maximum Nonlocality of Nature

TL;DR

This paper explores how the principles of space isotropy and homogeneity constrain the maximum nonlocality in nature, revealing a fundamental tradeoff that is consistent with quantum limits like the Tsirelson bound.

Contribution

It introduces a novel framework linking space symmetries to nonlocality limits, demonstrating that the Tsirelson bound naturally emerges from these principles.

Findings

Maximum nonlocality is constrained by space symmetries.

The Tsirelson bound is the point where symmetry and nonlocality tradeoff is resolved.

Probabilistic quantum behavior emerges from underlying space symmetries.

Abstract

One of the fundamental questions in physics concerns the relation between spacetime and quantum entanglement. The spacetime is usually considered as a fixed background physical space, and the quantum entanglement is usually manifested as a ``spooky action at a distance" or the existence of ``nonlocality" in nature. Here, we propose the flat-space isotropy and homogeneity principles as the fundamental criteria for determining the maximum degree of nonlocality of nature. More specifically, we consider abstract and deterministic nonlocal-box models which have stronger correlations than in quantum mechanics, whereas therein instantaneous communication remains impossible. We impose space-symmetry group structures on these models and derive a measure for the degree of space symmetries. Surprisingly, there is a tradeoff or inconsistency between the degree of space symmetries and the degree of nonlocality, where this inconsistency is exactly lifted at the Tsirelson bound, as predicted by quantum physics and also predicted in the experiments. Moreover, we prove this result in the general framework of deterministic nonlocal models and conclude that the probabilistic interpretation of the nonlocal box models is an emergent property of the flat-space symmetries.