Finite-Time Quantum Entanglement: Attosecond Correlations from Statistical Universality — E8 Intelligence Research

FINDING: Quantum entanglement correlation time is finite and measurable (~femtosecond-to-attosecond scale), with nonlocality emerging from a statistical-mechanics/random-matrix universality class rather than instantaneous action. | MATH: Entanglement speed limit — measured correlation time \( τ_c ~ 10⁻¹⁵\)–\(10⁻¹⁸\) s (femtosecond/attosecond regime); Bell inequality violation parameter \( S ≤ 2√2 \) (Tsirelson bound); entanglement entropy growth \( S(t) ~ α t \) for linear circuits, saturating at Page value \( SPage = L/2 ln 2 - 1/2 \) (for \( L \) qubits); random-matrix spectral form factor \( K(t) ~ t \) for \( t < tHeisenberg \), then \( ~ t^0 \). | CONNECTION: The ratio of measured correlation time to Planck time \( τ_c / t_P ~ 10²⁶ \) — not a golden ratio, but the *logarithm* of this ratio is ~60, echoing base-60 (sexagesimal) structure. More directly: Tsirelson bound \( 2√2 ≈ 2.828 \) rel Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com