A Geometric Attention Transformer with the E8 Root System: Sovereign-Lila-E8 (Lie Lattice Attention Language Model)

Leech-Lila: A Geometric Attention Transformer(Language Model) with the Leech Lattice Attention

Geometric Information Field Theory. 33 SM predictions from pure topology. 0.24% mean deviation. Zero free parameters. open source, Lean 4 verified, falsifiable.

The W(3,3)-E8 Correspondence Theorem: deriving the Standard Model from a single finite geometry with zero free parameters

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GIFT Core: Certified mathematical identities from E8×E8 gauge theory on G2 manifolds. Verified in Lean 4

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

A Research Operating System (ROS) for AI-assisted, structured, and verifiable research, with strict workflows, state tracking, and computational validation. Developed using an E₈ theoretical physics program as a testbed.

🔍 Explore a unification framework where Standard Model observables emerge as Casimir eigenvalues, enabling precise predictions for future experiments.

K_AUD = √2 × ln(2) — geometric constants from H₄ polytope geometry. Binary uniqueness, Baker's map identity, Gelfond-Schneider rewrite, gap scaling. Information-theoretic framework connecting geometric embedding cost with Shannon's binary distinction cost. Published on OSF with DOIs.

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

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

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