What does this research mean for the field?

Quantum non-locality and the Tsirelson bound emerge deterministically from macroscopic properties of exactly solvable chaos towers, allowing quantum correlations to be harmonized with strictly local relativistic causality without invoking quantum-mechanical postulates. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.ESTABLISHES_NEW_DIRECTION.

What question did this study set out to answer?

Establish a deterministic, non-quantum origin for quantum non-locality and the Tsirelson bound using exactly solvable chaos towers under an invariant Cauchy measure.

September 8, 2026Open Access

Chaotic Origin of Tsirelson Bound

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Authors

KUKen UmenoKyoto University

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Implication

Theoretical modeling reveals deterministic emergence of the quantum Tsirelson bound in ergodic chaos towers, indicating quantum non-locality reconciles with relativistic causality.

Key Points

Establish a deterministic, non-quantum origin for quantum non-locality and the Tsirelson bound using exactly solvable chaos towers under an invariant Cauchy measure.
Evaluated correlation functions under a fixed Cauchy measure (γ = 1) across classical L1 metric spaces and Hardy spaces H2(H+).
Represented unimodular observation functions across an orthonormal Cauchy-Szegő basis.
Applied continuous parameter tracking within an ergodic ensemble to generate a topological Szegő projection.
Real-axis micro-sampling collapsed the CHSH sum to the classical limit (|S| ≤ 1.5 < 2) due to an unattenuated cascade of high-harmonic square-wave noise.
Topological Szegő projection filtered out complex poles (n ≥ 2) to isolate the fundamental mode (n = 1), recovering quantum correlations of cos(2Δθ) and the Tsirelson bound of 2√2.
Hyperbolic geodesic quadrilateral constraints reproduced the AdS/CFT holographic paradigm while strictly preserving relativistic causality without superluminal signaling.

Cite This Study

Ken Umeno (2026) studied this question.

synapsesocial.com/papers/6a9fd70a58e84d0ff5b4596e https://doi.org/10.5281/zenodo.20803050

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Implication

Theoretical modeling reveals deterministic emergence of the quantum Tsirelson bound in ergodic chaos towers, indicating quantum non-locality reconciles with relativistic causality.

Chaotic Origin of Tsirelson Bound

Discussion

Member takes

Implication

Key Points

Cite This Study

Chaotic Origin of Tsirelson Bound

Discussion

Member takes

Implication

Key Points

Cite This Study

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