What question did this study set out to answer?

The aim is to validate the Sky Theorem across multiple physical systems and explore the implications for entropy convergence.

June 12, 2026Open Access

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

Key Points

The aim is to validate the Sky Theorem across multiple physical systems and explore the implications for entropy convergence.
Conducted 72 experiments in 7 physical domains including quantum, gravitational, neuroscience, and evolutionary biology.
Measured the Sky Trust Score T to evaluate proximity to attractor states.
Analyzed early warning signals of transitions in various systems.
In quantum decoherence, T continuously tracked qubit decay from T=0.002 to T=0.979 with a protection factor of 23.74x (r=0.9402).
In neuroscience, T elevated by 13.8x before seizures, providing a 32-second warning lead time.
Established a correlation of r=+0.71 between proteome T-scores and organismal complexity in evolutionary biology.

Abstract

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/Hₘax 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 — ibmfez 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 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: dNₜau/dt = 0. Version 3 — includes IBM Quantum hardware results (EXP-71, EXP-72). Prior art established June 8, 2026.

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