A Geometric Attention Transformer with the E8 Root System: Sovereign-Lila-E8 (Lie Lattice Attention Language Model)
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Updated
Mar 9, 2026 - Jupyter Notebook
A Geometric Attention Transformer with the E8 Root System: Sovereign-Lila-E8 (Lie Lattice Attention Language Model)
The W(3,3)-E8 Correspondence Theorem: deriving the Standard Model from a single finite geometry with zero free parameters
GIFT Core: Certified mathematical identities from E8×E8 gauge theory on G2 manifolds. Verified in Lean 4
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Geometric Information Field Theory. 33 SM predictions from pure topology. 0.24% mean deviation. Zero free parameters. open source, Lean 4 verified, falsifiable.
🔍 Explore a unification framework where Standard Model observables emerge as Casimir eigenvalues, enabling precise predictions for future experiments.
Geometric constants from H4 polytope structure. √2 × ln(2) ≈ 0.980. Official archive: osf.io/qh5s2
Derives all 26 fundamental physical constants from E8 vacuum structure and Hopf fibration topology. No free parameters fitted.
58 fundamental constants derived from E₈ → H₄ icosahedral geometry with zero free parameters — includes a self-sustaining solver and falsifiable predictions.
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