The Cosmic Dipole Anomaly in Thermosynthesis Cosmological Theory V 3.2

This work presents a rigorous mathematical formulation of the Cosmic Dipole Anomaly within the framework of the Cosmological Thermosynthesis Theory (TTCv3.2). In TTC, the universe emerges from a primordial superfluid of ultralight scalarbosons—etherions—with mass me = (1.00 ± 0.05) × 10−22 eV. 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 di-rect 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 definitionsare explicit, with domains, codomains, hypotheses, and functional spaces declared. Lemmas, propositions, and theorems are formally stated and proved, with impli-cations for cyclic cosmology and falsifiable predictions for upcoming surveys likeEuclid and SKA.