Paper CLXXVIII of the One-Octonion Brane-Bulk Series Three Gravitational θ Eras, Quantised Mass, and the G2 Graviton Mass Spectrum:

Building on Papers CLXXVI–CLXXVII, we derive the three-era evolution of the gravitational θ angle, the quantised mass spectrum from G2 root geometry, and the graviton mass spectrum from the G2 root system. At the Planck epoch, θPlanck = 4π2 = 39.478 exactly (from j = 1 H+ irrep, no free params). At the QCD transition, θQCD passes through zero and is permanently fixed to zero by H−-sector hyperbolicity. Today, θgrav ≈θ0e−t/Tsump, with Λeff(t) = Λnuc(1 −e−t/Tsump) (Papers I, CLIV). New results: (1) the δM/M baryogenesis asymmetry exhibits a step function at the QCD transition, with δM/M ∼10−9 pre-QCD rising to ∼6 × 10−10 post-QCD; (2) Λeff < 0 during Era I (pre- nucleation, t < 0), producing a contracting de Sitter phase consistent with B-mode CMB constraints; (3) graviton modes have a G2-root mass spectrum with four distinct masses. Four formal predictions; zero free parameters. 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.