A theoretical physics framework that derives Standard Model parameters from the geometry of a single 7-dimensional manifold: E₈×E₈ gauge theory compactified on a G₂-holonomy manifold K₇ with Betti numbers (b₂, b₃) = (21, 77).
No free parameters. No fitting. Every prediction is a consequence of shape.
| Repository | Description |
|---|---|
| GIFT | Framework v3.4: publications (main + 3 supplements + 4 companion papers), documentation, statistical validation. |
| core | Lean 4 formalization: 144 files, 460+ certified relations, 15 axioms (4 main-chain + 11 interval-arithmetic), 0 sorry. Hosts GiftPy. |
| giftheory.substack.com | Essays on topology, physics, and the research process |
| @giftheory | Video introductions to the framework |
| @GIFTheory | Automated facts from the framework, twice a week |
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GIFT v3.4 — Standard Model Parameters as Topological Invariants of a G₂ Holonomy Manifold DOI: 10.5281/zenodo.20070101
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Paper A — A Certified Torsion-Free G₂ Structure on a TCS Neck Model (computer-assisted proof) DOI: 10.5281/zenodo.19892350
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Paper B — Spectral Geometry of an Explicit G₂ Metric: Laplacian Spectrum and Harmonic Forms DOI: 10.5281/zenodo.19893371
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Paper C — Newton–Kantorovich Diagnostics on a Donaldson K3 Metric DOI: 10.5281/zenodo.19708916
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Paper D — Donaldson Analytic Note: explicit closed-form G₂ ansatz with Wirtinger certificate DOI: 10.5281/zenodo.20039066
The framework proposes that the free parameters of the Standard Model may be derivable from topological invariants of a compact 7-manifold K₇ with G₂ holonomy (b₂ = 21, b₃ = 77) and gauge group E₈×E₈ (dim = 496).
- 95 observables derived from topology (35 Type I + 19 Type II + 21 Type III + 22 Type IV); zero adjustable parameters (3 integer primitives: N=3, r₈=8, r₂=2)
- 0.39% mean deviation on the 35 exact-target relations; 0.97% across all 66 observables with experimental comparison (PDG 2024 / NuFIT 6.0)
- Exhaustive search over 3,070,396 topological configurations: (21, 77) ranks #1, zero better alternatives (log₁₀ p_algebraic = −138)
- Analytical G₂ metric on the constant-form sector: φ = (65/32)^{1/14} φ₀, T = 0 (exact); certified torsion-free completion on a TCS neck model via Newton–Kantorovich
- Lean 4 formalization: 144 files, 460+ certified relations, 15 axioms, 0 sorry
- Heyes, Hirst, Sá Earp, Silva — Neural G2 metrics (arXiv: 2602.12438), Imperial College London / UNICAMP
- Zhou & Zhou — Algebraic Stability and Cosmological Structure (2026): derive (b₂, b₃) = (21, 77) from self-referential dynamics, citing GIFT as empirical motivation
- Mamun — The Void Paradox: Towards a Universal Coordinate System for Information Reality (2026), University of Oxford
- Cabannas & Silva — The Modal Discipline of Objectivity (2026), UFBA / UFMA, Brazil: an epistemological reading of the GIFT framework
- Blueprint — Lean formalization dependency graph
- giftpy on PyPI —
pip install giftpy - Zenodo — Canonical publications (framework v3.4)
GIFT FROM BIT