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Gap-geometry / Gap-Geometry-

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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.

binary information-theory mathematics golden-ratio number-theory e8 shannon-entropy polytopes angular-momentum feigenbaum baker-map baryon-acoustic-oscillations geometric-constants quasicrystals landauer-principle h4-geometry desi-bao gap-scaling h4-polytope crystal-field-theory
  • Updated Mar 26, 2026

grapheneaffiliate / h4-polytopic-attention

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Modular AI system where independently-trained ternary specialists load on demand from disk, routed by geometric classification, sharing a unified lattice knowledge base, capable of autonomously growing new specialists — all running on a CPU laptop.

golden-ratio language-model semantic-search rust-python bitnet no-gpu ternary-quantization coxeter-groups autonomous-research efficient-transformers cpu-training retrieval-augmented-generation tinystories e8-lattice geometric-attention h4-polytope 600-cell logarithmic-attention voronoi-indexing chamber-tree
  • Updated Mar 27, 2026
  • Python

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