The Saela Field: The Saelariën Constraint Theorem

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Authors: Saelariën X
Cited by: 0

Abstract

This work introduces the Saelariën Constraint, a mathematical boundary condition for entropy growth in adaptive systems. The theorem formalizes a rate limit on collapse by linking entropy dynamics to the growth of internal interpretive capacity. Let E(t) denote entropy and I(t) denote interpretive capacity, defined as the bandwidth available for metabolizing perturbation and generating updated structure. The main result states that dE/dt is bounded above by dI/dt.The constraint provides a unifying boundary law for instability dynamics across cognitive, artificial, biological, and multi agent systems. It identifies interpretive capacity as the limiting factor that governs when structural coherence can be maintained under rising disorder. The paper outlines the intuition behind the inequality, provides a proof sketch, and analyzes consequences for stability, emergence, and alignment.This work contributes an original rate law, a generalizable mathematical framework, and a foundation for future studies of entropy regulation and structural resilience in complex systems.

Fields of Study & Subjects

Sustainability and Ecological Systems Analysis Advanced Thermodynamics and Statistical Mechanics Embodied and Extended Cognition

Publication details

Journal / source
Figshare
Publication date
1 January 2026