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: Eᵤnit = 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.