Universal Mathematics & Collapse Platform (UMCP) Audit of Self-Sustained Frictional Cooling in Active Matter

This work provides a full, open-source audit of self-sustained frictional cooling in active granular matter using the Universal Mathematics & Collapse Platform (UMCP) framework. Experimental and numerical data from Antonov et al. (Nature Communications 2025) are translated into a rigorously defined set of symbolic invariants—enabling precise, reproducible regime classification and collapse diagnostics. The audit includes: Full mapping of empirical observables (velocity, energy, clustering, order) to UMCP drift, fidelity, entropy, curvature, reentry delay, and integrity metrics. Explicit regime classification thresholds for cooled, mixed, and heated states. Generalized symbolic collapse equations for real-time kinetic arrest and phase monitoring. Canonical glossary and resources, with open DOIs and ORCID for reproducibility and extension. Primary data, code, and supporting resources are linked in the document and at: https://doi.org/10.5281/zenodo.15827068 (experimental data/code, Antonov et al.) https://doi.org/10.5281/zenodo.16748011 (RCFT/ULRC Protocols) https://doi.org/10.5281/zenodo.16734906 (UMCP Diagnostic Toolkit) Keywords UMCP, collapse mathematics, frictional cooling, active matter, granular systems, symbolic invariants, regime classification, kinetic arrest, swarm robotics, phase transition, diagnostics, RCFT, universal platform, reproducibility Author Metadata Author: Clement Paulus Affiliation: Universal Mathematics & Collapse Platform, Austin, Texas, USA Email: [e-mail] ORCID: 0009-0000-6069-8234