Methodological Framework for Validating the Universal Boundary in Orbital Mechanic

The Universal Boundary framework proposes that λ = 2 serves as a fundamental constant governing stability transitions across physical systems. This methodology document establishes rigorous validation protocols connecting the mathematical eigenvalue theory to observable predictions in orbital mechanics. We demonstrate how the unique characterization of c = 2 in order-2 linear recurrences maps onto wave-lattice stability formalism, enabling quantitative predictions for planetary eigenfrequencies, debris disk gap locations, and resonance chain architectures. The framework integrates Jacobsthal sequence mathe- matics with Laplace-Lagrange secular theory, providing testable predictions against N-body simulations, ALMA observations, and Bayesian model comparison with Kepler/TESS exoplanet catalogs.