What if physics isn't fine-tuned, just well-shaped?
GIFT derives Standard Model parameters from the geometry of a single 7-dimensional manifold. No free parameters. No fitting. Every prediction is a consequence of shape.
Part of the Arithmon program — the hypothesis that the constants of nature are counts.
Whether you're curious, a physicist, a mathematician, or a formalization enthusiast — there's a door for you.
Everyday analogies, no equations required
The core idea, explained on YouTube
Mid-length technical narrative for curious physics readers
Topological approach to SM parameters
G₂ metric construction pipeline
Machine-verified physical relations
Common questions answered
Accessible writing on the ideas behind GIFT. All posts on arithmon.substack.com.
Stardew, the arrow of time and entropy
Skyrim, a world waiting for an observer
When a Burgundy wine glass explains the hidden dimensions of the universe
Minecraft, discretization and the eternal problem of the continuum
One year of unorthodox research: what changed, what didn't, and what I still don't know
Mario Kart, non-locality and correlations at a distance
Three names that don't work, and an open question about the role in human-AI collaboration
Tetris and productive non-commutativity
Announcing GIFT v3.4 in plain language
Fall Guys and the myth of predictable physics
Gaming as a school of quantum intuition (series opener)
Speculative postscript: the philosophical posture behind GIFT
On counting pieces, recognizing themes, and reading the manual
Learning Physics with AI: the accidental origin of GIFT
What Roberto Carlos Knew (Without Knowing It)
What We Cannot Perceive, and What That Means
On octonions, patience, and a 43-year puzzle
GIFT meets Lean 4: trust nothing, verify everything
Humility before the numbers, geometry before physics
Formalizing G₂ holonomy existence
Why geometry might be the language of physics
Every value below is derived from topology — the shape of a single G₂-holonomy manifold K₇. Nothing is fitted.
| Relation | Value | Topological origin |
|---|---|---|
| sin²θW | 3/13 | b₂/(b₃ + dim G₂) |
| κT | 1/61 | 1/(b₃ − dim G₂ − p₂) |
| τ | 3472/891 | (496 × 21)/(27 × 99) |
| det(g) | 65/32 | G₂ metric determinant |
| δCP | 197° | 7 × dim G₂ + H* |
| QKoide | 2/3 | dim G₂ / b₂ |
| Sector | Predictions | Mean deviation | Highlight |
|---|---|---|---|
| Electroweak | 3 | 0.12% | sin²θW = 3/13 |
| Lepton | 3 | 0.04% | QKoide = 2/3 (0.0009%) |
| Neutrino | 3+1 | 0.25% | θ₁₂ = arctan(2/3) |
| Cosmology | 3 | 0.07% | ns = ζ(11)/ζ(5) |
| Structural | 4 | exact | Ngen = 3 |
| Test | Result |
|---|---|
| Configurations tested | 3,000,000+ |
| GIFT rank | #1 |
| Better alternatives found | 0 |
| Null model p-value | < 2×10⁻⁵ (σ > 4.2) |
| Bayes factor | 304–4,738 (decisive) |
Complete theoretical framework: E₈×E₈ compactification, K₇ construction, all derivations. 44 pp.
E₈, G₂, K₇ mathematical construction. Lattice theory, holonomy, TCS gluing. 27 pp.
All 33 Type I derivations with full computation. 0.92% mean deviation (NuFIT 6.1 / PDG 2024). 42 pp.
95-observable catalog with type breakdown (33 Type I + 19 II + 21 III + 22 IV). 10 pp.
First computer-assisted existence proof for a metric with special holonomy. Zenodo 19892350.
Laplacian spectrum, harmonic forms, λ₁ ≈ 6π²/475. Zenodo 19893371.
NK diagnostics on a Donaldson K3 metric (CI(2,2,2)). Zenodo 19708916.
Explicit closed-form G₂ ansatz on a K3-coassociative neck with 5-layer Wirtinger certificate. Zenodo 20039066.
143 files, 15 axioms (4 main-chain + 11 interval-arithmetic), zero sorry. Formally verified in Lean 4 (core v3.4.26).
Invited remote participant, "DANGER: Data, Numbers, and Geometry" workshop, Banff International Research Station (BIRS), April 5–10, 2026.
Heyes, Hirst, Sá Earp & Silva, Neural and numerical methods for G₂-structures on contact Calabi–Yau 7-manifolds, Physics Letters B 878 (2026) 140566, ref. [25].
GIFT makes concrete predictions that can be tested by running or planned experiments.
| Prediction | Experiment | Timeline | Falsification criterion |
|---|---|---|---|
| δCP = 197° | DUNE | 2027–2030 | Outside [182°, 212°] |
| sin²θW = 3/13 | FCC-ee | 2040s | Outside [0.2295, 0.2320] |
| ms/md = 20 | Lattice QCD | 2030 | Converges outside [19, 21] |
| Ngen = 3 | LHC | Ongoing | 4th generation discovery |