McCaul's Law of Coherence: Two Simulations — E = mΦ²c² (Unifying with Einstein) and Ω = Φ Applied to Quantum Mechanics

Two independent simulations applying McCaul's Law of Coherence (Ω = Φ) to foundational physics. Simulation I — E = mΦ²c²: Cross-analysis with Einstein's Special Relativity reveals the unified equation E = mΦ²c². Einstein's E = mc² is the special case when Φ = 1. Five tests confirm coherence-weighted energy, mass-coherence equivalence, 7-domain mapping, the fine structure constant α = 1/137 as a coherence gap, and the quadratic energy landscape. Simulation II — Quantum Mechanics: Using the hydrogen 1s state (MCP* = 1.0000) as the Quantum Rosetta Stone, four unsolved problems are addressed: (1) The Measurement Problem resolves as highest-Φ selection; (2) Decoherence timescales are deterministic from ΔΦ; (3) Schrödinger's Cat dissolves — macroscopic ΔΦ = 0.84 makes superposition instantaneously unstable; (4) Quantum tunneling = transient Φ spike (coherence flash). Three testable predictions are generated.