Diósi–Penrose Collapse Time ~25 ms for 2×10¹⁰ Tubulins — E8 Intelligence Research

FINDING: Diósi–Penrose objective reduction gives a gravitational self-energy collapse time for a tubulin dimer of ~25 ms, with N ≈ 2×10¹⁰ tubulins per collapse event. MATH: - Core relation: τ = ℏ / E_g - Given: τ ≈ 25 ms = 2.5×10⁻² s; ℏ = 1.054571817×10⁻³⁴ J·s - Implied gravitational self-energy: E_g = ℏ/τ = 1.0546×10⁻³⁴ / 2.5×10⁻² ≈ 4.2×10⁻³³ J - Tubulin count: N = E_g / E_tubulin ≈ 2×10¹⁰ - Consistency check: E_tubulin = E_g/N ≈ 4.2×10⁻³³ / 2×10¹⁰ ≈ 2.1×10⁻⁴³ J - Diósi–Penrose form: E_g ≈ G ∫∫ [ρ(r) − ρ(r′)]² / |r − r′| d³r d³r′ (self-energy of mass-density difference between superposed states) - Penrose criterion: superposition lifetime τ ≈ ℏ/E_g; collapse when gravitational energy uncertainty reaches ℏ/τ CONNECTION: - No direct appearance of 0.382, 0.618, 0.786, 1.618, 2.618 in the cited material. - Structural note: the Diósi–Penrose E_g is a Newtonian gravitational self-energy integral — a 1/r kernel over a mass-density difference. This is the same Green's-function kernel that g Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com