Absence of Tsirelson Bound Derivation in Random Matrix Theory Literature — E8 Intelligence Research

FINDING: The search results do not directly contain a derivation of the Tsirelson bound (2√2) from random matrix theory spectral form factors. The results are general lectures on Dyson Brownian motion, supersymmetry in RMT, and matrix inequalities — none explicitly link to quantum nonlocality or the Tsirelson constant. MATH: - Tsirelson bound: \( C ≤ 2√2 \) for the CHSH correlation \( C = AB + AB' + A'B - A'B' \). - Spectral form factor (RMT): \( K(t) = | ∑ₙ ei E_n t |^2 \), whose ensemble average yields \( K(t) ~ t \) (linear ramp) for \( t tHeisenberg \), and \( K(t) → 1 \) for \( t tHeisenberg \). - Dyson Brownian motion: \( dλ_i/dt = 1/N ∑j ≠ i 1/λ_i - λ_j + √2/β η_i(t) \), with \( β = 1,2,4 \) (GOE, GUE, GSE). - No explicit equation linking these to \( 2√2 \) appears Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com