Emergent Oscillatory Dynamics of Interstellar Jets

This article presents a rigorous mathematical formulation of the oscillatory jet dynamics observed in interstellar objects, with emphasis on recent multi-messenger observations of 3I/ATLAS by Hubble, JWST, SPHEREx, and Juice spacecraft. Within the Cosmological Thermosynthesis Theory v3.2 (TTC v3.2), these phenomena emerge from entropic fluctuations in a primordial superfluid of etherions ultralight scalar particles with mass me = (1.00 ± 0.05) × 10−22 eV. All definitions specify domains, codomains, hypotheses, and mathematical spaces. Lemmas, propositions, and theorems are numbered with explicit hypotheses, and proofs are fully formal, justified by prior definitions or established results. The framework derives jet oscillation periods consistent with observed 16.16-hour variability, resolves anomalies such as sunward anti-tails and CO2-dominated comae through etherion-fermion couplings, and yields implications for cyclic cosmology, including baryogenesis enhancement via jet-mediated processes and falsifiable predictions for gravitational wave signatures (LISA) and neutrino oscillations (DUNE). Additional hypotheses, such as compactness of spatial manifolds for integral convergence, are declared; without them, resultsmay fail, as illustrated by divergent integrals in non-compact spaces.