Collapse Invariant Regime Mapping:

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.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-09
DOI
https://doi.org/10.5281/zenodo.16787448
Primary Topic
Scientific Computing and Data Management
Type
article
Field-Weighted Citation Impact
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article

Collapse Invariant Regime Mapping:

Zenodo (CERN European Organization for Nuclear Research)
Scientific Computing and Data Management
article

Collapse Invariant Regime Mapping:

article en

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.

Zenodo (CERN European Organization for Nuclear Research)
Universal College (PH)
Openalex Percentile: Top 55%
Scientific Computing and Data Management
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