Trinary Symmetry: From the 360-Degree Arithmetic Wheel to Eisenstein-Lattice Type-II Analysis A Comprehensive Working Manuscript

This manuscript consolidates the Trinary Symmetry research program from its earliest 360-degree modular wheel and dual 6n-1 /

6n+1 prime-track picture through the later cone, lattice, Eisenstein-integer, and Type-II angular-sieve developments. Arithmetic

invariants are separated from geometric embeddings, computational observations, conjectures, and conditional analytic

programs. The appendices collect the proof chain developed to date.

The original August 2026 operator/RH manuscript is retained as a conditional historical stage. The later analytic program is

organized around bilinear angular sums in the Eisenstein integers, determinant strips, content decomposition, Smith normal form,

prime-ideal extraction, additive large-sieve input, recursive scale descent, and a weighted multiplicative-energy estimate for the exact diagonal.