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This research explores the connection between Tsirelson bound and CHSH polytope geometry through D4 symmetry.

July 26, 2026Open Access

D4 Symmetry Links CHSH Polytope Geometry to Tsirelson Bound — E8 Intelligence Research

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This research explores the connection between Tsirelson bound and CHSH polytope geometry through D4 symmetry.
Derivation of Tsirelson bound using quantum mechanics and geometry techniques.
Analysis of the Bloch sphere representation and D4 dihedral group properties.
Examination of optimal measurement settings in correlation to group symmetry.
Tsirelson bound is derived as 2√2, approximately 2.828, linking geometric properties of the CHSH polytope.
D4 symmetry reveals optimal measurement angles corresponding to CHSH settings, enhancing understanding of quantum correlations.
Vertices of the polytope in Bell correlation space are positioned at (±1, ±1, 0).

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Finding links Tsirelson bound to CHSH polytope geometry using D4 symmetry on the Bloch sphere.

Andrew Stewart Caldin (2026) studied this question.

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