The Origin of Numbers: Why the Constants Are What They Are — ULF Extended Series Paper XLVII

The fundamental constants of physics have never been derived from first principles — they are measured, tabulated, and used without explanation. This paper derives the three core ULF constants from three physical generators: the spin range of light at phase conversion produces Γ_base = ½; spacetime volume resistance to acceleration adds the curvature correction δ = 0.0305 giving Γ = 0.5305; and gravitational curvature applied to the spin projection yields α = √3 / 24π² ≈ 1/137.06, agreeing with the measured value to 0.02%. The paper further resolves the largest quantitative tension in the ULF corpus: the 30% gap between predicted matter density Ω_m = 0.219 and the observed Planck value of 0.315. This gap closes exactly when light in motion is included in the gravitational momentum budget as a coupling partner to dark matter’s undisturbed momentum reserve. The coupling fraction f_light = Γ − δ² ≈ 0.430 gives Ω_m^obs = 0.219 × (1 + 0.438) = 0.315. Gravity does not count particles. Gravity counts momentum. And momentum is everything. DOI: 10.5281/zenodo.19026506