The Common Governance Model (CGM) presents an axiomatic framework for understanding how structure emerges through recursive alignment. As an axiomatic model, CGM begins from a single foundational principle and derives all subsequent structure through logical necessity. Each theorem follows inevitably from the axiom, with nothing assumed and everything emerging through recursive self-reference.
The model demonstrates that three-dimensional space with six degrees of freedom is not an assumption but a logical derivation. Time appears as the sequential ordering of recursive operations, encoded by gyration's memory of operation order. The mathematical formalism employs gyrogroup and bi-gyrogroup structures following Abraham Ungar's work, providing precise language for tracking transitions from undifferentiated potential to fully structured reality.
Recent developments have extended CGM to define quantum gravity as the geometric invariant Q_G = 4π, representing the complete solid angle required for coherent observation. This framework derives fundamental physical constants from pure geometric principles, including the fine-structure constant α to experimental precision (0.043 ppb) and predicts characteristic energy scales through recursive polygon methods. The unified picture reveals physics as the necessary geometry for self-coherent observation.
- 📖 CHANGELOG.md - Complete version history and development timeline
- 🌐 Foundations - Theoretical foundations and mathematical framework
| Version | Focus Area | Documentation | Implementation |
|---|---|---|---|
| 1.1.0 | 📏 4pi Unification through Alignment | Analysis | |
| 1.1.0 | 🎯 Fine-Structure Constant | Analysis | Code |
| 1.0.9 | ⚛️ Proto-Units Framework | Analysis | Code |
| 1.0.8 | 🌌 Quantum Gravity | Analysis | Code |
| 1.0.7 | 🔄 Monodromy Structure | Analysis | Code |
| 1.0.7 | 📡 Kompaneyets Analysis | Analysis | Code |
| 1.0.6 | 🌠 CMB Patterns | Analysis | Code |
- ✅ Derived α = 1/137.036 from pure geometry (0.043 ppb accuracy)
- ✅ Defined quantum gravity as Q_G = 4π (complete solid angle)
- ✅ Predicted gravitational coupling ζ = 23.155 from first principles
- ✅ Established 97.93% closure with 2.07% observational aperture
- ✅ CMB multipole enhancement at ℓ = 37 and harmonics (p = 0.0039)
- ✅ P₂/C₄ harmonic anti-alignment in Planck data (p = 0.005)
- ✅ Cross-observable phase coherence (R = 0.743)
- ✅ Machine-precision internal consistency (<10⁻¹⁶ errors)
- 🔬 Standard Model particle spectrum derivation
- 🔬 Cosmological dynamics from geometric evolution
- 🔬 Experimental validation programs
Basil Korompilias
Independent Researcher
Common Governance Model Framework
Developing mathematical tools for understanding the deep structure of physical reality through recursive geometry.
If you use this framework in your research, please cite:
@software{korompilias2025cgm,
title={Common Governance Model},
author={Korompilias, Basil},
year={2025},
url={https://github.com/GyroSuperintelligence/CGM},
note={Axiomatic framework for recursive geometry in physics}
}🤖 AI Disclosure
All code architecture, documentation, and theoretical models in this project were authored and architected by Basil Korompilias.
Artificial intelligence was employed solely as a technical assistant, limited to code drafting, formatting, verification, and editorial services, always under direct human supervision.
All foundational ideas, design decisions, and conceptual frameworks originate from the Author.
Responsibility for the validity, coherence, and ethical direction of this project remains fully human.
Acknowledgements:
This project benefited from AI language model services accessed through LMArena, Cursor IDE, OpenAI (ChatGPT), Anthropic (Opus), and Google (Gemini).