The Cyclic Zeta Framework

We present a geometric framework in which seven independent cosmological observables are derived from a single dimensionless input — the mathematical constant π — with zero free parameters. The visible matter fraction r* is derived as: r* = (1 − (1/4) ·³√ (π/4) ) · (π/4) ² / 3 = 0. 15819 From r* alone we recover: K = 0. 18792 (Planck 2018: 0. 18796, error 0. 02%), ωₘ = 0. 3164 (error 0. 44%), ωde = 0. 6836 (error 0. 11%), sin²θW = 0. 23066 (PDG: 0. 23122, error 0. 24%), and zₐcc = 0. 629 (error 0. 50%). The primary falsifiable prediction — sin²θW = (1/4) ·³√ (π/4) = 0. 23066 — will be definitively tested by the MOLLER experiment at Jefferson Laboratory within three years. If confirmed, it will be the first geometric derivation of the Weinberg angle from first principles. Five further predictions are presented.