Hawkes Corrections and Radiative Stability of the Record-Formation Potential

Statistical companion to "Unified Dynamics from Time Generation."This paper extends the regime potential W(ϕ) framework by modelling record formationas a self-exciting Hawkes process, providing the radiative-stability and entropy-normalisationclosure of the dynamics construction. Main results:• Radiative stability of the cubic ratio λ₃/μ² = 1/3 and barrier-height identity V₀ = μ².• Numerical computation of the entanglement entropy coefficient c₀ = 0.0252, fixing κ = 3.13 and ε = 0.017.• Updated phenomenological constraints from torsion-balance experiments.• A Hawkes-induced vacuum contribution scaling as Λ_eff ~ n² μ².