Bell nonlocality from twisted statistics

• URL: http://arxiv.org/abs/2608.06359v1
• Date: Thu, 06 Aug 2026 17:55:50 GMT
• Title: Bell nonlocality from twisted statistics
• Abstract summary: We investigate Bell correlations for a free real quantum scalar field on the noncommutative Moyal plane.<n>We show that suitable local mode measurements lead to a violation of the CHSH Bell inequality.
• Score: 39.146761527401424
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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