Collapse Invariant Regime Mapping:
Year: 2025
Type: article
Abstract: This document defines the Collapse-Invariant Regime Mapping Standard for the Universal Mathematics & Collapse Platform (UMCP) and Unified Language of Recursive Closure (ULRC). It fixes the five collapse-invariant quantities—drift (ω), fidelity (F), entropy (S), curvature (C), and reentry delay (ϑR)—and the composite integrity coefficient (IC) under a frozen normalization contract. It specifies fixed thresholds for Stable, Watch, and Collapse regimes, the minimal per-sample computation procedure, and the canonical audit log format. The text includes proof sketches, case studies from multiple domains, and complete implementation assets: reference code, example datasets, containerized environment, and cryptographic file hashes. All parameters are fixed per run for reproducibility and audit integrity.
Author: Paulus, Clement
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: W6949408582
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