Empirical Signatures of Recursive Constraint and Persistence A Structural–Empirical Program for Testing Identity-Based Ontology

Empirical Signatures of Recursive Constraint and Persistence presents a disciplined empirical program derived from a non-teleological, constraint-based ontology in which persistence of identity under transformation is primary. The work does not propose new physical laws, governing equations, or metaphysical commitments. Instead, it identifies empirically testable signatures—formulated as necessity conditions rather than predictions—that would distinguish systems governed by identity-preserving recursion and irreversible constraint from conventional models based on optimization, probabilistic error correction, or metric-first dynamics. The document articulates five empirical signatures spanning computation, collapse statistics, recurrence structure, temporal ordering, and alignment failure modes. Each signature is specified with explicit experimental or observational conditions and decisive refutation criteria. The framework emphasizes falsifiability: a single valid counterexample is sufficient to refute empirical relevance, without undermining internal consistency or formal necessity results. This work is intentionally conservative in scope. It does not claim that such systems exist, nor that the framework is physically instantiated. It states only what must hold if identity-preserving constrained persistence is realized in physical, computational, or biological systems. As such, it serves as a bridge between a foundational structural ontology and empirical inquiry, while maintaining strict separation between formal validity and empirical instantiation.