A Relational Constraint Framework for Physics from Finite Measurement Structure

This revised manuscript develops a relational constraint framework for physics grounded in finite measurement structure. It argues that physical descriptions should be formulated in terms of finite measurement contexts, admissible relational assignments, overlap consistency, and refinement closure rather than by assuming exact global states, mathematical points, or background continuum structure as primitive. The framework introduces a sequence of axioms in which physically realized structures are those that remain stable under contextual refinement and coherent extension. This version clarifies the distinction between refinement-based selection, uniqueness, and finite-domain sufficiency. Refinement closure is not presented as a proof that a single structure or generator is uniquely determined by finite measurement data. Instead, physical adequacy is understood as survival under contextual enlargement, overlap consistency, and empirical refinement stress. If multiple structures remain indistinguishable under the available finite measurement constraints, they are treated as an empirically sufficient equivalence class for the domain considered. The manuscript serves as the foundational statement for a broader research program on relational constraints, refinement algebras, wave-like closure dynamics, quantum-like contextual structure, and emergent physical law from finite measurement records.