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stalex444/pdt-lean

Stephanie Alexander

Palomar Registrypalomar/PALOMAR-2026-08-19-000007Aug 20, 2026quant-phscore 0

Kernel-checked exact-constant results for the CHSH operator T = A₀B₀ + A₀B₁ + A₁B₀ − A₁B₁ of an arbitrary CHSH tuple (Mathlib's IsCHSHTuple: self-adjoint involutions with the A's commuting with the B's). (1) The Landau identity: in any *-ring, T² = 4 + [A₀,A₁]·[B₁,B₀] — the exact, representation-independent correction to the naive T² = 8·1 (chsh_mul_self). (2) Tsirelson's bound in norm form: ‖T‖ ≤ 2√2 for every CHSH tuple in every nontrivial unital real C*-normed algebra (chsh_norm_le). (3) The classical constant, exactly: if either party's pair commutes, ‖T‖ = 2 — not merely ≤ 2…

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