A Spectral-Partition Completion of the Kopp Freeze-In Threshold

This preprint proposes a parameter-minimal spectral-partition completion of theKopp-type gravitational-wave freeze-in threshold. Rather than introducing a phenomenological threshold asa free parameter, the framework uses independently established spectral constantsτ* = 0.145,κ = 0.8509,and r̄ = 0.857as fixed structural inputs inherited from prior prime-spectral and partition analyses.Within this structure, the critical latch scale is identified as Ṫ_crit = τ*(1−κ) ≈ 0.0216,providing a structural correspondence to the freeze-in threshold discussed by Kopp and Maleknejad (2026).The same partition further suggests: a matter-favoring ratio r̄/(1−r̄) ≈ 5.67 a residual partition index Δ_part ≈ 0.05 a baryonic matter fraction estimate Ω_b ≈ 5.26%This upload should be read as a structural proposal and priority claim ratherthan a theorem-level derivation of full cosmological baryogenesis. Included: manuscript PDF LaTeX source