A Layered H4/E8-D6 Framework for a 48-Symbol Geometric Code, Core64 Codon Space, and Weyl-Wobble Degeneracy

This record presents Paper 044 by Ken Takada / Enumiaze, introducing a layered geometric framework that links a 48-symbol Katakamuna-derived code, the H4 600-cell, E8 root geometry, and a Core64 codon information space associated with D6/SO (12). The paper organizes computational results from katakamunaₕ4e8v14. py into evidence layers: rigorous algebraic or computational identities, statistically or structurally supported correspondences, and exploratory hypotheses. The main results include the construction of a reversible 2D-symbol → 4D H4 → 8D E8 pipeline, the decomposition of E8 roots through H4-related lifts, the interpretation of 48 as a recurring invariant arising from several independent structures, and the identification of Core64 with a 6-dimensional hypercube / 64-codon information space. The paper also examines a Weyl-degeneracy structure and its proposed relationship to biological wobble degeneracy, while carefully distinguishing established mathematical statements from speculative physical and biological interpretations. This work is intended as a reproducible theoretical and computational framework for further investigation into discrete geometry, symbolic encoding, particle-model analogies, and genetic-code structure.