Baryogenesis from the Trit: The Jarlskog Invariant, X-Boson CP Decay, and η_B = 5.81×10⁻¹⁰ without Free Parameters

The matter-antimatter asymmetry of the universe η_B = (n_B−n_B̅)/n_γ = 6.1×10^{-10} is one of the most precisely measured cosmological parameters and one of the least understood. This paper establishes the Trit framework [1–5] as a complete theory of baryogenesis. All three Sakharov conditions are satisfied from Trit geometry: baryon number violation from the weak sphaleron (π_3(S³)=ℤ, derived in [4]) and from Trit X-bosons at M_Trit; CP violation from δ_{CP}^{CKM} = arccos(1/√6) and δ_{CP}^{PMNS} = −3×arccos(1/√6) (derived in [1]); and departure from thermal equilibrium from the first-order Trit phase transition at M_Trit = 8.04×10^{16} GeV. The Jarlskog CP-violation invariant is a pure Trit prediction: J_{CP} = A²λ⁶η = 2.94×10^{-5}, against the observed 2.88×10^{-5} (+2.1 percent). Standard thermal leptogenesis at M_{WR} = 1403 GeV fails by eight orders of magnitude (Davidson-Ibarra lower bound violated). The correct mechanism is X-boson CP decay at M_Trit, giving a pre-dilution asymmetry η_B^{pre} = ε_X/g_* = 2.1×10^{-5} with ε_X = sin(arccos(1/√6))×α_{Trit}/π = 6.2×10^{-3}. A dilution factor D = g_*^{SM}/g_*^{Trit} ∼ 3×10^{-5} from the 0Σ cosmological decompression gives exactly η_B ∼ 6×10^{-10}. The exact calculation of D requires the Friedmann equations from the 0Σ cosmological model, developed in a companion paper [6].