This paper presents a comprehensive extension of the π-Layer Geometry Computing (π-GC) paradigm — a fully dielectric, cryogenic, and reversible logic platform where information is encoded in the geometric phase (Φ) of confined photons rather than electronic charge. The work introduces a transition from discrete quaternary phase logic ({A, C, G, T} ↔ {0, π/2, π, 3π/2}) to continuous and M-ary phase logic, enabling each optical domain to represent up to 10 bits of information under low-noise cryogenic operation (77 …