This chapter presents a rigorous mathematical framework for entanglement-based interplanetary quantum networks within the Cosmological Thermosynthesis Theory (TTC v3.2), where quantum coherence emerges from a primordial superfluid of etherions with mass me = (1.00 ± 0.05) × 10−22 eV. We derive the coherence length and non-local correlations from the Gross–Pitaevskii equation, establishing lemmas and theorems for entanglement stability over Earth–Mars distances. The framework unifies quantum communication with TTC’s emergent spacetime, enabling precise clock synchronization, secure key distribution, and gravitational sensing. Falsifiable predictions include fidelity thresholds testable via satellite deployments, reinforcing TTC’s cyclic cosmology and superfluid dynamics. This infrastructure is proposed not as a tool for dominance, but as a shared architecture for global scientific validation and peace.