E1P Computational Validation: Ten-Domain Test Suite with Frontier Exploration

Complete computational validation of Energetic First Principles (E1P), comprising the main validation report and all four replication packages. This work tests E1P's core claims through three sequential questions across ten canonical dynamical systems: (1) Where do phase transitions occur? (2) What characterizes each phase? (3) Can the framework be falsified? Results: τ = 0.51 ± 0.08 across all systems; four phases (AA/CC/CA/AC) consistently characterized; five falsification tests survived. Frontier exploration extends validation to quantum mechanics (Transverse-Field Ising Model, τ = 0.50 exact), cosmology (Friedmann ΛCDM, τ ≈ 0.59), and neural networks (deep signal propagation, τ = 0.33–0.50). Contents: Main validation report (PDF) Stage I: τ threshold identification across ten systems Stage II: Four-phase characterisation (AA/CC/CA/AC) Stage III: Falsification test suite (five tests) Frontier exploration: Quantum, cosmological, and neural network domains Systems validated: Logistic Map, Kauffman Boolean Networks, Voter Model, Kuramoto Oscillators, Hopfield Networks, 2D Ising Model, Elementary Cellular Automata, Schelling Segregation, Bak-Tang-Wiesenfeld Sandpile, Coupled Map Lattices, Transverse-Field Ising Model, Friedmann Cosmology, Deep Neural Networks.