A Compact Randers Phase Framework for Quantum Mechanics, Electromagnetism, and Cosmology

We derive the fine-structure constant from a compact U(1) phase substrate on a static Randers–Finsler manifold with no free parameters. The closed inverse coupling

α-¹_cl = 4²(2π) - [3ζ(2)] 13/15 1/π = 208/15 π² ≈ 136.8585 

is derived by factoring the compact closed inverse kinetic trace over one oriented chiral two-form sector. Each factor has a separate and independently verifiable geometric origin; none is adjusted to match experiment. The laboratory value α−¹_lab ≈ 137.036 is recovered by a localization dressing series whose first three coefficients are identified structurally and labeled by proof status. We further derive the Radial Acceleration Relation

g_obs = g_bar/P(g_bar/b_0) with P(x) = 1 − e ^−√x

from the same comparison algebra, and reproduce cosmological redshift as a pure phase-transport effect in a static geometry. The framework is minimal, internally consistent, and falsifiable: every numerical claim reduces to a finite list of explicit geometric assignments that can be individually checked or refuted.