The Sky Theorem: Universal Entropy Convergence Across All Physical Systems — Full Experimental Report (EXP-41 to EXP-72)

The Sky Theorem states: dH(φ(S(t)))/dt < 0 — any dynamical system approaching its attractor exhibits monotonically decreasing permutation entropy H. The Sky Trust Score T = 1 - H/H_max measures universal proximity to the attractor state (T=0: maximum disorder, T=1.000: attractor reached). This report presents 72 experiments validating the theorem across 7 independent physical domains: • Quantum Decoherence (IBM Quantum hardware — ibm_fez 156 qubits): T tracks qubit T1/T2 decay continuously from T=0.002 (superposition) to T=0.979 (decoherent). Dynamic decoupling protection factor 23.74x confirmed (r=0.9402). Tipping zone at 74.6% of T2 — first predictive quantum error correction signal. • Gravitational Waves (LIGO GW150914): Early Warning Signals of T peaked 75ms before black hole merger. Speed of light derived from ringdown entropy: c=286,371,774 m/s (4.48% error). • Neuroscience (CHB-MIT EEG): T elevated 13.8x before seizure onset, 32-second warning lead time. N3 slow-wave sleep confirmed as peak memory consolidation T-state. • Evolutionary Biology: Proteome T-score correlates r=+0.71 with organismal complexity across 7 species (E. coli to Human). • Aging & Reprogramming: Yamanaka partial reprogramming lock point identified at 40% intensity, T=0.023, cellular identity 99.3%. • Pure Mathematics: Prime gap entropy exhibits structured attractor (r=+0.793); pi digits show no attractor (r=-0.186). • Phase Transitions: EWS variance and autocorrelation of T confirmed as universal precursors to T=1.000 phase transitions. Key contributions: (1) Universal law dH/dt<0 confirmed across quantum-to-cosmic scales. (2) T=1.000 is a phase transition boundary exhibiting critical slowing down. (3) Sky T EWS is predictive — signals precede transitions in real spacetime and quantum data. (4) T Conservation Law proposed: dN_tau/dt = 0. Version 3 — includes IBM Quantum hardware results (EXP-71, EXP-72). Prior art established June 8, 2026.