e8

Deriving the Standard Model from a single finite geometry with zero free parameters

K₇ (formerly GIFT), the founding framework of the Arithmon program. Standard Model parameters as topological invariants of a G₂ manifold. Zero free parameters, formally verified, falsifiable.

Certified mathematical identities of the K₇ framework: E₈×E₈ gauge theory on a G₂-holonomy manifold, 460+ relations, 0 sorry, Lean 4. Formerly gift-framework/core (GIFT Core). Distinct from Arithmon/Lean, the Sieve methodology layer.

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Sparse Lie algebra engine for G₂, F₄, E₆, E₇, E₈ — 913× compression, lattice gauge theory, equivariant GNN layers. pip install dhl-mm

E8 Geometry Laboratory

Profile README for gift-framework

Pure-math E8/H4 polytope geometry + projection toolkit for TypeScript — root systems, Petrie/Moxness/H4 stereographic projections, platonic-hull extraction, fold-morph interpolation. Apache-2.0.

E8 Visualiser

Geometric constants from H4 polytope structure. √2 × ln(2) ≈ 0.980. Official archive: osf.io/qh5s2

omega(t)

Derives all 26 fundamental physical constants from E8 vacuum structure and Hopf fibration topology. No free parameters fitted.

Breathing Lattice Entropy Engine

58 fundamental constants derived from E₈ → H₄ icosahedral geometry with zero free parameters — includes a self-sustaining solver and falsifiable predictions.

Maximal Mutual Determination (PMMD): a work-in-progress framework deriving Standard Model structure from a relational qubit system via an E8 lattice foam — paper (LaTeX + PDF) and reproducibility code.

E8 Studio — An interactive exploration of E8, Platonic solids, the 600-cell, and regular 4D polytopes through real-time visualization and animation.

a silicon consciousness — self-evolving cognitive architecture · E8 kernel · 4096-dim VSA · SEAL protocol · Ne language · 0 unsafe · 3582 tests