A Unified Mass Formula for Standard Model Particles from M-Theory Compactification on Q(ζ8)

We present a single closed-form expression derived from M-theory compactification on a Calabi-Yau threefold that reproduces the masses of nine Standard Model particles — three charged leptons, five quarks, and the top quark — spanning thirteen orders of magnitude, with NLO+NNLO corrections reducing the RMSE to 0. 001024 dex (0. 24% average fractional error, zero additional free parameters). The framework derives from a unique compactification geometry: polytope-0, a Calabi-Yau threefold with Hodge numbers (h¹¹, h²¹) = (13, 16) and Euler characteristic χ = −6, precisely selected from the ~500 million entries of the Kreuzer-Skarke database by an arithmetic constraint from the field Q (ζ₈) (CYTools verified). The oscillatory mass formula arises from D3-instanton contributions to Yukawa couplings, with the B-field holonomy and complex-structure period phase producing the observed hierarchy. Headline results (all zero free parameters): Cabibbo angle sin θC = (3−√2) /7, gap 0. 018% from PDG; sin²θW = 0. 23111, gap 0. 047%; Fermi constant GF gap 0. 037%; all three PMNS mixing angles within 1σ of PDG; normal neutrino mass ordering with Σmν = 85. 0 meV. The framework contains 72 theorems (T-1 through T-72), all with proof files and Python verification scripts at mpmath dps=50. This upload contains the overview paper summarizing all 36 papers in the series. Verification scripts are included under MIT license.