Escrever uma avaliação PREreview

The Discrete Extramental Clock Law proposes that objective time in chaotic systems emerges discretely from statistically significant ordinal conjunctions across multiple trajectories, modulated by a universal gating function g(τs)g(τs​) rooted in Kendall's rank correlation and Feigenbaum universality. This study provides numerical evidence for the ontological hierarchy: high local chaotic activity (e.g., positive Lyapunov exponents) does not advance objective time; only global ordinal coherence (high ∣τs∣∣τs​∣) generates effective temporal ticks. Using coupled logistic maps, the Lorenz attractor, fractional-order extensions, and empirical \textit{Aedes aegypti} population data, we demonstrate negative correlation between local variance/Lyapunov activity and the rate of emergent time advance, fractal inheritance in tntn​ (Dtn≈1.98Dtn​​≈1.98), and robust noise tolerance. These results challenge the universality of Newtonian time in chaotic regimes, supporting emergent discreteness even in classical chaos.