The Cosmic Dipole Anomaly in Thermosynthesis Cosmological Theory

This article presents a rigorous mathematical formulation of the Cosmic Dipole Anomaly within the framework of Thermosynthesis Cosmological Theory (TTC). In TTC, the universe emerges from a primordial superfluid of ultralight scalar bosons—etherions—with mass me = (1.00 ± 0.05) × 10−22eV. We demonstrate that the observed dipole anisotropy in the distribution of distant sources (e.g., quasars, radio galaxies), which exceeds the kinematic dipole predicted from the CMB, is a direct and natural consequence of an emergent, primordial gravitational gradient and the recursive dynamics of the etherion superfluid. This resolves the tension with the standard ΛCDM model without violating General Relativity. All definitions are explicit, with domains, codomains, hypotheses, and functional spaces declared. Lemmas, propositions, and theorems are formally stated and proved, with implications for cyclic cosmology and falsifiable predictions for upcoming surveys like Euclid and SKA.