# Getting rid of nonlocality from quantum physics

## TL;DR

This paper argues that violations of Bell inequalities do not imply quantum nonlocality but are instead tests of observable incompatibility within local quantum theory, challenging common interpretations.

## Contribution

The paper reinterprets Bell inequality violations as tests of observable incompatibility, dissociating nonlocality from quantum theory and emphasizing its local nature.

## Key findings

- Bell violations are tests of observable incompatibility.
- Quantum theory remains local despite Bell violations.
- Bell inequalities do not directly imply nonlocality.

## Abstract

This paper is aimed to dissociate nonlocality from quantum theory. We demonstrate that the tests on violation of the Bell type inequalities are simply statistical tests of local incompatibility of observables. In fact, these are tests on violation of {\it the Bohr complementarity principle.} Thus, the attempts to couple experimental violations of the Bell type inequalities with "quantum nonlocality" is really misleading. These violations are explained in the quantum theory as exhibitions of incompatibility of observables for a single quantum system, e.g., the spin projections for a single electron or the polarization projections for a single photon. Of course, one can go beyond quantum theory with the hidden variables models (as was suggested by Bell) and then discuss their possible nonlocal features. However, conventional quantum theory is local.