We present a unified geometric framework in which the Standard Model fermion masses, the existence of three generations, the CKM mixing matrix, the neutrino mass scale, the baryon asymmetry ηB, and the dark energy density ρΛ all originate from the Euclidean Kerr-Planck core quantized in Loop Quantum Gravity (LQG). The core is described by a compact manifold with boundary S 1 τ ×S 2 , Chern-Simons level k = √ 3N/2 (N = 106 spin-1/2 punctures) and dimensionless spin parameter a˜ = 0.9. These parameters are fixed solely by LQG consistency conditions (area quantization, angular momentum quantization, and entropy maximization) without reference to particle-physics data. Fermion masses arise from temporal holonomies of the SU(2) Ashtekar-Barbero connection; the three generations emerge from stable winding modes n = 1, 2, 3; and the baryon asymmetry is generated by a geometric chirality filter induced by the core’s rotation during instanton nucleation. The model reproduces the observed values ηB ∼ 10−10 , ρΛ ∼ 10−123M4 Pl, and the full lepton and quark mass hierarchies to within the precision of the semiclassical approximation. All predictions are parameter-free and falsifiable. An open issue concerning the spectral correction for the n = 2 mode is identified and discussed.
Carlos Javier Díaz Curiel (Sat,) studied this question.