Relational Constraint Foundations (RCF)
Year: 2026
Type: article
Abstract: Relational Constraint Foundations (RCF) establishes a minimal axiomatic framework for structural entropy and persistent observability based on relational possibility spaces equipped with proper constraints. From these primitives, a canonical definability algebra and graded definability hierarchy are derived, inducing intrinsic structural entropy growth. The framework proves that persistent cumulative structural observability is governed by a necessary and sufficient inequality between structural definability entropy growth and extraction definability capacity growth. RCF provides a constraint-first foundation for structure, entropy, and observability without assuming metric, probabilistic, or physical structure. Related resourcesAdditional preprints, theoretical frameworks, and ongoing work by the author are available at:https://murad-ahmadov.github.io/
Author: Ahmadov, Murad
Language: English
Topic: Complex Systems and Dynamics
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7128923913
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