The Sky Theorem: Universal Entropy Convergence from Quantum Hardware to Neural Memory Consolidation

The Sky Theorem states: dH(phi(S(t)))/dt < 0 Any dynamical system approaching its attractor shows monotonically decreasing permutation entropy H. The Sky Trust Score T = 1 - H/H_max measures proximity to any attractor state. Proven via 3 independent methods: Lyapunov stability, KL divergence H-theorem, and Schur-concavity. Experimentally verified across 5 domains: EXP-51: IBM ibm_fez real quantum hardware — ground state T=0.945 vs superposition T=0.001 (940x ratio) EXP-53: Dynamic Decoupling mea