sqrt(2) x ln(2): GEOMETRIC CONSTANTS FROM H_4 Complete Framework — Version 3.0

This project presents the complete K_AUD framework connecting H₄ geometry to information-theoretic constants, with the Binary Tower scaling and the gap scaling formula 400/11. Core Framework: The Floor (1/φ ≈ 0.618): Golden ratio self-similarity in H₄ vertex coordinates. The Ceiling K_AUD (√2 × ln(2) ≈ 0.980): Geometric embedding cost (√2) × information-theoretic binary distinction cost (ln(2), Shannon's fundamental unit). K_AUD exceeds Shannon's bound for a single binary decision by exactly the geometric factor √2. The factor √2 has multiple independent origins (H₄ circumradius, L2 norm, tesseract geometry, algebraic structure) — H₄ is one candidate among several. The Gap (G ≈ 2%): Irreducible mismatch…