e8

E8 Geometry Laboratory

E8 Visualiser

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

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.

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

omega(t)

Live ASCII mandala generated from the 240 roots of the E8 lattice

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.

Profile README for gift-framework

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

The octonions, triality, the magic square and E8 — computed, drawn and told plain. A reading of Lisi 2026. · ออกโทเนียน จัตุรัสมหัศจรรย์ และ E8 — คำนวณ วาด และเล่าง่ายๆ

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.

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.

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.

Deterministic symbolic sonification research: ETQ-101/303 E8-root-derived state models, exact D4 triality covariants and S3 equivariance, reproducible MIDI/JSON/CSV artifacts, plus separate browser and Python audio labs.

exotopia is a simple art / music / climate and biodiversity resilience worker support multiverse

From Chirality to the Standard Model. Paper, LaTeX source, and an executable notebook with exact verification and Lean proofs.