Bell nonlocality from twisted statistics
Abstract
We investigate Bell correlations for a free real quantum scalar field on the noncommutative Moyal plane. Although the free field dynamics and the one-particle sector remain unchanged, the deformation enters through twisted multiparticle statistics and its Fock-space dressing representation. A classical external source coupled locally to the twist-dressed quantum field prepares coherent superpositions of momentum-pair configurations propagating toward two spacelike-separated laboratories. The momentum-dependent twist phases are generally nonfactorizable and generate entanglement between the corresponding wave-packet modes. We show that suitable local mode measurements lead to a violation of the CHSH Bell inequality. The resulting correlations provide an operational probe of the noncommutative structure encoded in the multiparticle sector of the quantum field.
Cite
@article{arxiv.2608.06359,
title = {Bell nonlocality from twisted statistics},
author = {Ivana Đorđ ević and Jovan Potrebić and Aleksandra Gočanin and Dragoljub Gočanin},
journal= {arXiv preprint arXiv:2608.06359},
year = {2026}
}
Comments
12 pages, 1 figure