Gyroscopic Alignment Research Lab

Cosmology, Biology, and Beyond...

CGM is a formal deductive framework that begins with a single foundational axiom: that all states in a coherent system must be traceable to a common source. Formalized using modal logic, this principle yields five constraints that any system, physical or informational, must satisfy to maintain coherence under recursive observation. The framework uses gyrogroup geometry to derive the structure of space, time, and physical constants, while also defining measurable alignment metrics for artificial intelligence.

The Common Governance Model (CGM) is a Hilbert style axiomatic system for fundamental physics and information science. As an axiomatic model, CGM begins with five foundational constraints (CS, UNA, ONA, BU Egress, BU Ingress), derives all subsequent structure through syntactic rules of inference, and interprets the results in physical geometry to produce empirically testable predictions.

The model axiomatizes physics from logic, deriving three dimensional space with six degrees of freedom as a necessary consequence, not an assumption. Time emerges as the logical ordering of recursive operations, encoded by the memory inherent in gyrogroup geometry. The framework extends the tradition of Noether, Kolmogorov, and Wightman by applying axiomatic methods to spacetime structure itself, addressing the core challenge of Hilbert's sixth problem.

Derived predictions include:

• The quantum gravity invariant Q_G = 4π, representing the complete solid angle for coherent observation.
• A geometric estimate of the fine structure constant α ≈ 1/137.036, matching experiment without physical inputs.
• A universal 2.07% aperture ratio, connecting physical coupling to the optimal balance for AI alignment.

• 🧠 CGM Core – Formal axioms, derivations, and geometric invariants
• 🔭 CGM Program – Research roadmap, validation plan, and applied objectives
• 📖 CHANGELOG.md - Latest Updates and Complete version history

• ✅ 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 optical conjugacy law: E^UV × E^IR = (E_CS × E_EW)/(4π)²
• ✅ Predicted neutrino masses ~0.06 eV via 48² quantization

• ✅ 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)
• ✅ Sterile neutrino non-observability consistent with null experimental results

• 🔬 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{gyrogovernancesciencerepo,
  title={Common Governance Model: Mathematical Physics Framework},
  author={Korompilias, Basil},
  year={2025},
  doi={10.5281/zenodo.17521384},
  url={https://github.com/gyrogovernance/science},
  orcid={0009-0006-4967-1245}
}

Paper Release (v1.2.4): 10.5281/zenodo.17794470 - Jan 1, 2025

General Citation (all versions): 10.5281/zenodo.17521384