Z-Spin Cosmology

Z-Spin Cosmology proposes a geometric unification in which the primitive layer is a unit-quaternion field q(x) ∈ SU(2) ≃ S³ and observable physics emerges from discrete, Planck-tick updates constrained by topological and measurement minimality. The framework separates three functional layers: a Z-layer carrying orientation parity and twist identifiability, a Y-layer implementing SU(2) phase processing via holonomy, and an X-layer supporting localized cores (defects) that encode effective mass and charge. A minimal “slot grammar” Z(2)+Y(6)+X(3)=11 fixes a structural throughput fraction Y/11=6/11; under mixing, this becomes an ergodic efficiency for macroscopic time projection α_t≈6/11. An update operating system with cycles C5=Z+X and C7=Y+G synchronizes at L=lcm(5,7)=35, restricting integer defect jumps to rare gate events and yielding a benchmark baryon asymmetry η_B≈(6/11)^35. A cosmological-constant cap is identified from a de Sitter entropy bound as Λ≈3π/(K_Λ N_ST l_P²) with bounded K_Λ. The theory supplies explicit falsifiability clauses, including seam-linking Z₂ (Möbius) holonomy order parameters and a minimal protocol reproducing quantum CHSH correlations without super-quantum signaling.