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Searching for Bell-CHSH-Violating Bose Operators
Abstract
We construct bounded Bell observables for a free scalar field in complementary spacetime wedges using measurable involutions of the spectral variable of a local canonical quadrature. These involutions yield wedge-local Hermitian unitary operators that anticommute with a chosen bounded observable. For a cosine observable, we characterize the admissible translations and reflections and derive exact correlations at finite modular bandwidth. The affine-reflection construction yields a violation of the Bell-CHSH inequality of approximately 2.06.
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BibTeX
@misc{newton2026searching,
title = {{Searching for Bell-CHSH-Violating Bose Operators}},
author = {T. Newton and S. P. Sorella},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.05685},
eprint = {2609.05685},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.05685},
}
RIS
TY - UNPB
TI - Searching for Bell-CHSH-Violating Bose Operators
AU - T. Newton
AU - S. P. Sorella
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2609.05685
UR - https://arxiv.org/abs/2609.05685
AB - We construct bounded Bell observables for a free scalar field in complementary spacetime wedges using measurable involutions of the spectral variable of a local canonical quadrature. These involutions yield wedge-local Hermitian unitary operators that anticommute with a chosen bounded observable. For a cosine observable, we characterize the admissible translations and reflections and derive exact correlations at finite modular bandwidth. The affine-reflection construction yields a violation of the Bell-CHSH inequality of approximately 2.06.
ER -