Minimal Core Constants in RCFT/ULRC

Abstract This paper presents a universal and operational framework for quantifying stability, memory, and identity in physical, biological, and symbolic systems, formulated through the Unified Language of Recursive Collapse (ULRC/RCFT). The approach centers on four dimensionless, empirically defined invariants—Symbolic Drift (δΨ), Recursive Fidelity (F), Collapse Entropy (S), and Reentry Delay (τR)—that together form a minimal yet complete set of criteria for diagnosing collapse dynamics and persistence across diverse domains. By rescaling observable quantities into normalized, unit-free form, the protocol enables direct, meaningful comparisons between systems as varied as temperature fields, quantum states, biological signals, and symbolic processes. Each invariant is anchored to standard physical units (SI or Planck), ensuring results are both reproducible and falsifiable. A central contribution is the formalization of a universal “survival law” that translates the persistence of identity from philosophical speculation into a practical, testable condition. Systems that maintain high fidelity, low drift, limited entropy, and bounded reentry time satisfy this empirical criterion for survival; those that do not are at risk of collapse. This framework does not ignore its own limitations. It calls attention to the need for transparent normalization, careful calibration, and honest reporting of reference values. Rather than concealing complexity behind jargon, the protocol emphasizes clarity, practical applicability, and scientific responsibility. By reducing the analysis of persistence and transformation to a handful of universal, empirically validated measures, this work provides a rigorous foundation for cross-domain diagnostics. It offers a clear and testable language for understanding stability and change, unifying approaches from physics and biology to cognition and information theory.