The Constraint Geometry Framework (CGF) is a reformulation of fundamental physics in which constraint — what cannot happen — is the sole primitive. All physical structure, from spacetime geometry to particle masses to coupling constants, emerges from irreversible constraint accumulation.
CGF is not a modification of existing theory. It is a complete re-derivation from a single axiom: structure is the residue of eliminated possibility.
Key Results
CGF derives fundamental constants from pure topology with zero free parameters:
| Quantity | CGF Prediction | Measured Value | Error |
|---|---|---|---|
| Higgs boson mass | ~125.6 GeV | 125.09 ± 0.24 GeV | 0.41% |
| Fine structure constant (α) | ~1/137.04 | 1/137.036 | 0.04% |
| Galaxy spin anisotropy | Predicted dipole | Observed dipole | 8.05σ detection |
| Helical wavelength | ~528 Mpc | Observed periodicity | Predicted pattern |
These are not fitted parameters. They are derived — computed from the constraint lattice topology without adjustable constants.
Core Principles
Irreversibility. Once a constraint is imposed, it cannot be undone. This gives the lattice a natural arrow and prevents the framework from collapsing into a static symmetry group.
Accumulation. Structure builds by successive constraint imposition. Each new constraint reduces the space of what remains possible. Physical law is the pattern of what survived.
Topology over metric. CGF operates at the level of connectivity and exclusion, not distance and angle. Metric structure is derived, not assumed.
Relation to Standard Physics
CGF does not contradict the Standard Model or General Relativity — it derives their effective content from deeper structure. Where those frameworks require ~25 free parameters, CGF requires zero. The parameters emerge from the topology of the constraint lattice.
Publications
- The Ontology of Constraint: A Post-Platonic Framework for Physical Law as Geometric Memory — The foundational ontology paper. Derives physical law as geometric memory from stochastic exploration of Possibility Space.
- Cosmology Through Constraint Geometry: A Zero-Parameter Derivation of Fundamental Constants from Topological First Principles — Derives fundamental constants (Higgs mass, fine structure constant, dark energy) from pure topology.
- The c = −2 Foundation of Constraint Geometry: Deriving the Cosmic Budget from Logarithmic Conformal Field Theory — LCFT formalisation. Derives the cosmic budget (dark matter-to-baryon ratio, Hubble tension, chiral asymmetry) with zero free parameters.
See the full Publications page for details.