Geometric Information Field Theory: Topological Derivation of Standard Model Parameters from G2 Holonomy Manifolds

Brieuc de La Fournière (2026) Full text (markdown) | Zenodo DOI: 10.5281/zenodo.18837071

Framework proposing that 19 Standard Model dimensionless parameters emerge as topological invariants of a 7D G2 holonomy manifold K7 with Betti numbers (b2=21, b3=77) coupled to ×ばつE8 gauge structure. Derives 33 dimensionless predictions with mean deviation 0.24% from experiment. 18 core relations formally verified in Lean 4. DUNE will test δ_CP = 197° falsification criterion.

Global: 33 predictions, 0.24% mean deviation (32 well-measured), 4 exact, 28/33 sub-1%

1. Introduction — Parameter problem, contemporary context, framework overview
2. Mathematical Framework — Octonions, ×ばつE8, K7 hypothesis, G2 structure
3. Methodology & Epistemic Status — Derivation principle, claims vs non-claims
4. Derivation of 33 Predictions — Gauge, lepton, quark, neutrino, Higgs, cosmological sectors
5. Formal Verification & Statistics — Lean 4 (290+ theorems), uniqueness among 192,349 alternatives
6. G2 Metric Program — PINN atlas construction, metric quality results
7. Falsifiable Predictions — δ_CP via DUNE, fourth generation bounds
8. Discussion — M-theory connections, comparison with other approaches, limitations
9. Conclusion

• (21,77) unique optimal among 192,349 configurations (p < ×ばつ10−6)
• ×ばつE8 achieves ×ばつ better agreement than next best gauge group
• G2 holonomy achieves ×ばつ better than Calabi-Yau (SU(3))
• Lean 4 verification: 290+ theorems, 0 sorry, 0 domain-specific axioms

• Paper S1 Foundations — Mathematical foundations
• Paper S2 Derivations — Complete derivations
• Paper Explicit G2 Metric — Numerical G2 metric
• Paper Spectral Geometry — KK spectrum
• Observable Reference — Full prediction catalog
• Statistical Evidence — 7-component validation