Informational corrections to the early-Universe radiation sector: CET Ω, WIMP freeze-out, and implications for a possible 20 GeV gamma-ray excess

Recent analyses of Fermi–LAT data have identified a nearly spherical, halo-like excess of gamma rays peaking at E γ ∼ 20 GeV. If interpreted as dark matter annihilation, the excess directly probes the thermal freeze-out epoch, and therefore any non-standard corrections to the early-Universe expansion rate. In this work we examine the implications of this tentative signal for CET Ω, an informational and modular extension of relativistic quantum field theory and cosmology. CET Ω predicts a universal, state-dependent modification to the radiation energy density, ρ Ω ( a ) = ρ r ( a ) [ 1 + α log log log ( a / a i ) ] , originating from renormalized modular fluctuations in the spectral triple of the theory. The correction is negligible during BBN and CMB epochs, but becomes relevant during thermal WIMP freeze-out. We provide: (i) a derivation of the doubly logarithmic correction from the modular two-point function; (ii) the physical justification of the onset scale a i and its relation to the informational sector; (iii) the full quantitative impact on freeze-out, including numerical solutions; (iv) the evolution of the informational field Φ Ω ( x ) , demonstrating that it freezes in at a dec < a f and survives to z = 0 under gravitational advection; (v) the resulting sub-percent morphological modifications to the annihilation flux; (vi) a comparison with Early Dark Energy, kination, and varying- N eff models. We show that the range 10 − 4 ≲ α log ≲ 10 − 2 is naturally selected by the theory, remains consistent with Planck, BBN, and BAO constraints, and induces percent-level shifts in the relic abundance while predicting potentially constrainable deviations in the gamma-ray morphology accessible to next-generation MeV–GeV missions.