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Effective approximation and low-intensity flatness of RAF critical-window profiles

Michael Mislan

Palomar Registrypalomar/PALOMAR-2026-10-04-000007Oct 4, 2026math.PRscore 0

The critical-window laws for autocatalytic emergence in reversible binary-polymer networks lead to survival profiles for independent open reaction channels. For both the ordered split-position and commuting-factor quotient models, with all binary words of length at most two as food, explicit total algorithms enclose each survival probability at every rational openness in [0,1] to any prescribed positive rational accuracy. Computable seed lengths and finite-record contraction estimates provide uniform truncation bounds on intervals bounded away from zero. The associated intensity profiles S(1…

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