A Universal Topological Force Unveiled: From Witten's Axion Wormhole to the Anomalous Accelerations of Interstellar Objects – And a Decisive Test with 3I/ATLAS at Jupiter's Flyby

This paper presents a unified topological dynamical framework spanning three scales—microscopic (quantum wormhole), mesoscopic (Solar System), and macroscopic (galactic)—by integrating Edward Witten's axion wormhole solution with Spacetime Ladder Theory (STLT). The framework simultaneously explains the non-gravitational anomalous accelerations of all three confirmed interstellar objects (1I/'Oumuamua, 2I/Borisov, 3I/ATLAS), reproduces galactic rotation curves across multiple galaxy types, and makes precise, falsifiable predictions for the outbound trajectory of 3I/ATLAS (C/2025 N1). The central force law is a = v × Q(r), where Q(r) is a macroscopic vortex field generated by dark matter polarization, following the universal spatial decay law: Q(r) = Q₀ · (r₀/r)^β, β = 0.85 The exponent β = 0.85 is not a free fitting parameter. It is derived from first principles through scale invariance and the cosmic-atomic correspondence, yielding a theoretical range β ∈ [0.7, 1.0], with 0.85 as the central value. The Q-field is a macroscopic polarization vortex generated by dark matter acting as a turbulent polarizable medium. The model has only one free parameter per system: Q₀, derived directly from the matter-generation formula using the system's mass and its dark energy radius.