Trans-Tsirelson CHSH from Cross-Bipartition Braiding on a Fibonacci Fusion Space

Version 1.7 is a substantial restructuring into a focused, self-contained Letter. It reports a sequential measurement protocol on the n = 8 Fibonacci fusion space (D = F_7 = 13) attaining |S| = 3.406, with two interpretive caveats: it is a CHSH-form expression on a non-factorized fusion space (not a bipartite EPR Bell test; Bob's observable is constant on the vacuum sector), and not a supremum on D = 13 (random braids reach 4.000, Haar-U(13) reaches 3.927). A controlled bipartite test recovers ||B|| = 2.000 exactly in 8000/8000 samples. Includes an independent comparison with Xu, Ye & You and a Bell-operator-norm diagnostic. The predictive framework and the broader interpretive reading of earlier versions are deferred to separate forthcoming work; the title no longer carries the earlier "Topological Chain Hypothesis" framing. Dimension-label correction (5D → D = 13) carried over from v1.5/v1.6.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-29
DOI
https://doi.org/10.5281/zenodo.20439639
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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Trans-Tsirelson CHSH from Cross-Bipartition Braiding on a Fibonacci Fusion Space

Berkay Yüksel Sayim
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Trans-Tsirelson CHSH from Cross-Bipartition Braiding on a Fibonacci Fusion Space

Berkay Yüksel Sayim
preprint en

Abstract

Version 1.7 is a substantial restructuring into a focused, self-contained Letter. It reports a sequential measurement protocol on the n = 8 Fibonacci fusion space (D = F_7 = 13) attaining |S| = 3.406, with two interpretive caveats: it is a CHSH-form expression on a non-factorized fusion space (not a bipartite EPR Bell test; Bob's observable is constant on the vacuum sector), and not a supremum on D = 13 (random braids reach 4.000, Haar-U(13) reaches 3.927). A controlled bipartite test recovers ||B|| = 2.000 exactly in 8000/8000 samples. Includes an independent comparison with Xu, Ye & You and a Bell-operator-norm diagnostic. The predictive framework and the broader interpretive reading of earlier versions are deferred to separate forthcoming work; the title no longer carries the earlier "Topological Chain Hypothesis" framing. Dimension-label correction (5D → D = 13) carried over from v1.5/v1.6.

Zenodo (CERN European Organization for Nuclear Research)
Oldham Council (GB)
Quality Education
Advanced Mathematical Theories and Applications
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