Paper CCXIV: Prime-Number Geometry and Nuclear Level Spacing from Gaussian Integers 2] = p = 2n+1 (p prime).

(series): Papers CCXVI through CCXXIII complete the Standard Model derivation within the One-Octonion Framework. Key results: (CCXVI) Full CKM matrix from G2 Weyl reflections — Cabibbo λ = 0.22481 (0.75% from PDG), CP phase δ = arccos(1/√7) = 67.79°. (CCXVII) Uniqueness theorem: G2 node assignment u=e1, d=e3, c=e2, s=e6, t=e4, b=e5 is unique. (CCXVIII) Full lepton sector: charge neutrality, Koide K=2/3 exact, lepton masses, PMNS matrix. (CCXIX) Graviton as G2 singlet mode. (CCXX) Strong CP = 0 exactly from G2 reality. (CCXXI) Full Planck 2018 MCMC — posterior τ=0.0547, √Feff=0.97241, σ8=0.82501. (CCXXII-CCXXIII) Doublon gate: G2 non-associativity produces doublon t'/t = 1/√3 (Kiefer+2026 ), Z7 magnetic translation at α=1/7. Paper CCXXIV — K(7) Klein Quartic Spectrum: E_unit = 6mI/π and the Mass Ladder Bharathi Dasan Jagadeesan, M.D. | May 2026 | Zenodo: 10.5281/zenodo.19120873 Abstract: The Klein quartic K(7) — the unique Riemann surface of genus 3 with maximal automorphism group PSL(2,7) of order 168 — provides the mass ladder for elementary particles. The unit mass is Eunit = 6me/π = 0.9759 MeV (electron = half-heptagon = π/6 area on K(7)). The mass spectrum m = Eunit × Neff gives: Nπ=144 → mπ=140.5 MeV (∆=+0.69%); Nµ=108 → mµ=105.4 MeV (∆=-0.24%); Np=960 → mp=936.9 MeV (∆=-0.15%). Key ratio: Nµ/Nπ = 3/4 (K(7) handle removes 1/4 of generation). The Klein Ladder = C12 Laplacian eigenvalues of W(G2) orbit (2,1), with sum = 14 = dim(G2). New predictions P98-P102. Paper CCXXV — Planck Floor as Decoherence-Power Smearing Limit Bharathi Dasan Jagadeesan, M.D. | May 2026 | Zenodo: 10.5281/zenodo.19120873 Abstract: The Planck length IP = √(IG/c3) emerges in the OOB framework as the minimum phase-space area h = IP mP c. The G2 = Aut(O) uniqueness theorem: G2 is the unique maximum-dimension algebra for observed quantum structure; Planck floor + Hurwitz ceiling meet exactly at G2. Paper CCXXVI — Tamil-Indus GI Grammar Series G-I: TolkIppiyam as W(GI) Orbits Bharathi Dasan Jagadeesan, M.D. | May 2026 | Zenodo: 10.5281/zenodo.19120873 Abstract: The TolkIppiyam 3×6 grammatical classification maps exactly onto the 18 positive roots of G2 decomposed as W(G2) orbits. The Pandya ABCD Fano line corresponds to the Fano plane line {e2,e4,e6}. Indus Sign 342 = e0 scalar. Coxeter Decipherment Rule: grammatical mutations are Weyl reflections. PunaIcci (junction rules) = G2 structure constants. AUM = H+ + H- + e0 + Bulk(silence). New predictions P61-P77+. Paper CCXXVII —...

Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.