Deriving the Chronogravity Potential Scale λ from Planck and Hubble Unification: Avoiding Parameter Fudging in a Topological Framework

This preprint derives the potential scale parameter λ in the Chronogravity framework as an emergent quantity from the unification of quantum (Planck length ℓ_Pl) and cosmic (Hubble constant H_0) scales, eliminating any perception of arbitrary tuning or "fudging." We show λ = 3 H_0² / c², with its observed smallness (~10^{-52} m^{-2}) explained by topological selection in the eternal pre-Bang root braid, where Planck-scale fray thresholds favor stable, low-λ branches for observer-permitting geometries. The derivation resolves the cosmological constant hierarchy problem, aligns with empirical values (Λ ~1.1×10^{-52} m^{-2}, MOND a_0 ~1.2×10^{-10} m/s²), and enhances the Chronogravity corpus by making λ a dynamic output rather than an input. Includes implications for testable predictions like gravitational wave deviations and precision clock anomalies, with a conceptual diagram of braid selection.