Metric Resonance Event: Forensic Analysis of 3I/ATLAS-Jovian Lattice Coupling and Predicted Doppler Residuals

The trajectory of the hyperbolic interstellar object 3I/ATLAS (C/2025 N1) exhibitsunprecedented orbital kinematics (e ≈ 6.14,v∞ ≈ 57.98 km/s) and non-gravitational dynamics during its passage through the innerSolar System. In this paper, we present a deterministic comparative derivation of the acceleration boost (+38%) and inverse decelerationdecay (-27.5%) observed across two distinctparadigms: Classical Newtonian / GeneralRelativistic Celestial Mechanics with Marsden cometary outgassing parameterization,and the Symmetry-Ordered Superfluid (S.O.S.)Continuum Vacuum Framework. By evaluating standard Vis-Viva kinetic energy scalingalongside state-space vacuum density ratios(ΩMW/ΩSun), we demonstrate an exact equivalence between classical kinetic energy variation(∆K/K∞ = +38.82%) and S.O.S. boundarylattice pressure boosts (+38.0%). Furthermore,we detail step-by-step mathematical derivations and introduce a gauge-invariant MetricStrain Prior Step (∆SOS) in a dedicated technical Appendix to reconcile vacuum state parameters without post-adjustments, providing anunassailable, falsifiable test bed for deep-spacetelemetry