Universal Law of Dynamic Coherence

This work introduces the Universal Law of Dynamic Coherence, a quantitative principle linking long-range temporal correlations in complex systems to fundamental physical scales. The central result is the emergence of a dimensionless invariant K = R_forces² / (R_temps · T_corr) ≃ 1, where the correlation time T_corr is governed by the DFA exponent β through T_corr ∼ (2β − 1)⁻¹. This relation is empirically validated across multiple domains — including EEG dynamics, genomic sequences, critical statistical physics models (Ising, XXZ), artificial systems, and cosmological data — revealing a robust, domain-independent constraint on dynamic coherence and irreversibility. The results suggest that coherence is not system-specific but a universal property of information dynamics across scales.