Mathematical Derivation of the Discrete Extramental Clock Law (Padilla-Villanueva 2025)
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This technical note presents the complete mathematical derivation of the discrete extramental clock law introduced across Padilla-Villanueva’s 2025 preprints. The evolution rule \( t_{n+1} = t_n + Δt · g(τ_s) \) and its universal gating function \( g(τ_s) \) are derived step-by-step from Kendall’s rank correlation theory, empirical bifurcation thresholds, and Feigenbaum universality — without free parameters.