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This research examines the Tsirelson bound, the maximum quantum violation of the CHSH inequality, and its algebraic implications.

July 26, 2026Open Access

Tsirelson Bound and C*-Algebraic Structure of Maximal CHSH Violation — E8 Intelligence Research

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This research examines the Tsirelson bound, the maximum quantum violation of the CHSH inequality, and its algebraic implications.
Analysis of the CHSH inequality and Tsirelson's theorem regarding quantum observables.
Exploration of algebraic structures involving C*-algebra tensor products and their relation to quantum mechanics.
Connections drawn between mathematical constants and geometric interpretations.
Maximum quantum violation identified as 2√2 (≈ 2.828), establishing links to algebraic structures.
Identified geometrical interpretations of √2 in the context of 2D Euclidean geometry and root systems.
Established connections of the octonion norm and Clifford algebra structures with the ratio √2.

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Theoretical exploration reveals quantum limits of CHSH inequality through C*-algebraic structures, linking geometry.

Andrew Stewart Caldin (2026) studied this question.

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