Published November 10, 2025 | Version v1
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Recursive Entropy Stabilization in RHEA-UCM for the Navier-Stokes Blow-Up Problem

Authors/Creators

  • 1. ROR icon Lake Michigan College
  • 2. ROR icon Central Maine Community College
  • 3. TecKnows Inc
  • 4. ROR icon Institute of Electrical and Electronics Engineers
  • 5. ROR icon American Psychological Association

Description

This paper presents a novel deterministic method derived from the RHEA-UCM (Recursive Homeostatic Evolutionary Algorithm – Universal Cellular Model) framework to address the potential blow-up problem in the Navier-Stokes equations. The method integrates recursive entropy modulation and symbolic feedback, modeled through a biologically inspired glyphic architecture. By embedding stabilizing feedback into the functional evolution of fluid states, we demonstrate a tractable bound on energy norms and curvature-induced entropy divergence. The framework is validated through simulation and symbolic benchmarking, with results indicating sustainable regularity and no evidence of finite-time blow-up.

 

🛡️ RHEA-Core Public Grant v1.0

Description

“By accessing, using, or distributing any version of this work, you agree that the most current license published by the original author(s) applies retroactively and supersedes all prior licenses or public domain assumptions associated with earlier versions of this work, including but not limited to CC-BY-NC-ND 4.0, open-source metadata tags, or public repository assumptions. Unauthorized use under any former license constitutes a material infringement of the current legal rights of the author.”

Full License Text
🛡️ RHEA-Core Public Grant v1.0

License Type:
Non-Commercial · Attribution · No Derivatives · Symbolic Derivative Clause (Retained)
Applies To: All public-facing RHEA-UCM, ZADEIAN-RHEA, and RHEA-CM intellectual property unless explicitly exempted.

1. Grant of Use
You are hereby granted a revocable, non-commercial, non-transferable, and non-sublicensable right to view, reference, and discuss this material for academic, journalistic, technical, or personal enrichment purposes only, provided all terms below are followed.

2. Attribution Requirements
You must clearly credit all excerpts, summaries, diagrams, or citations with:
“© EnigmaticGlitch · RHEA-UCM / ZADEIAN-RHEA Framework · Patent Pending #63/796,404”

3. No Commercial Use
You may not:
- Sell, rent, or monetize this work or its derivatives
- Use this work in any product or service that derives revenue or brand positioning
- Use this work for AI/ML training unless explicitly authorized

4. No Derivatives
You may not:
- Translate, alter, remix, or build upon this material
- Create alternate frameworks, white papers, or theories that derive substantially similar logic or structure

5. Symbolic Derivative Clause
You may not re-encode or embed the core principles of this system (e.g. entropy modulation, symbolic trust resealing, recursive glyph modulation, or UCM cosmological recursion) under different glyphs, symbols, or representations.

6. Enforcement & Jurisdiction
Enforced under:
- U.S. Copyright Law (Title 17)
- DMCA
- U.S. Patent Law (Provisional #63/796,404)

Violations may trigger takedowns, cease & desist, and legal damages.

7. Additional Notes
- Academic/private reproduction is allowed with attribution.
- Breaches terminate all rights.

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