High Energy Particle Physics

THE UNIFICATION OF PHYSICS BY QUANTUM VACUUM GEOMETRY, Spectral Derivation of the Standard Model Parameters, the Cosmological Constant, and the CMB Temperature from the Connes-Chamseddine Spectral Triple

Authors: Bertrand Jarry

We present the Quantum Vacuum Geometry (QVG) programme, an extension of the Chamseddine—Connes noncommutative geometry framework that derives the Standard Model parameters, the cosmological constant, and the CMB temperature from a single geometric principle.Starting from five algebraic axioms (C1—C5) on the finite spectral triple, the unique algebra of minimal dimension is AF = C ⊕ H ⊕ M3(C), generating gauge group SU(3) × SU(2) × U(1), three fermion generations (NF = 96 modes), and the exact hypercharge trace TrF Y 2 = 10.The original QVG contribution is a spectral free-energy functional Fρ[T ] =i ρiλi + E0 i ρi ln ρi whose unique fixed point ρ∗ = 1/NF determines all nineteen SM parameters. Numerical computation at N = 96 gives fermion masses to < 0.3%of PDG 2024 and the CKM matrix to < 2.5%; the Koide relation K = 2/3 is reproduced to 10−5.Three new results are established: (R1) the cross-coupling Kij = 0 exactly, from {Dext, γ5} = 0 in Clifford algebra; (R2) g∗ = 2 at E0 = 3.2 meV gives Λcosmo = 0.990 × 10−52 m−2 (9% of observed); (R3) TCMB = (E0/kB) × αTrF Y 2 = 2.709 K (0.6% of observed), derived from the Seeley—DeWitt a4 coefficient via Caldeira—Leggett. The quantum gravity propagator GE(r) = (Λ2GUT/16π2) exp(−Λ2GUTr2/4) is Gaussian and UV-finite. All residuals trace to a single source: the uncertainty in E0.

Comments: 14 Pages. Creative Commons Attribution 4.0 International (CC-BY 4.0)

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[v1] 2026-03-15 01:17:22

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