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PreprintCC BY 4.0arXiv

Bell Test and Quantum State-Space Geometry

Abstract

We explore a minimal phenomenological model of coupling between the geometry of the classical spacetime and the quantum state space. Assuming a simple structure of the combined manifold, bilinear interaction between the corresponding geometric scalars and the simplest case of the two-qubit entanglement dynamics, we derive an illustrative upper bound on the geometric coupling constant from the requirement of the Clauser-Horne-Shimony-Holt (CHSH) inequality violation over a finite time interval.

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BibTeX
@misc{siomau2026bell,
  title = {{Bell Test and Quantum State-Space Geometry}},
  author = {Michael Siomau},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.07450},
  eprint = {2611.07450},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.07450},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Bell Test and Quantum State-Space Geometry
AU  - Michael Siomau
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.07450
UR  - https://arxiv.org/abs/2611.07450
AB  - We explore a minimal phenomenological model of coupling between the geometry of the classical spacetime and the quantum state space. Assuming a simple structure of the combined manifold, bilinear interaction between the corresponding geometric scalars and the simplest case of the two-qubit entanglement dynamics, we derive an illustrative upper bound on the geometric coupling constant from the requirement of the Clauser-Horne-Shimony-Holt (CHSH) inequality violation over a finite time interval.
ER  -