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

Christian Balfagon

Abstract

Recent analyses of Fermi-LAT data have identified a nearly spherical, halo-like excess of gamma rays peaking at E_gamma ~ 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 Omega, an informational and modular extension of relativistic quantum field theory and cosmology. CET Omega predicts a universal state-dependent modification to the radiation energy density of the early Universe, characterized by a doubly logarithmic correction originating from renormalized modular fluctuations in the spectral triple of the theory. The correction is negligible during Big Bang nucleosynthesis and recombination but becomes relevant during thermal WIMP freeze-out. We derive the correction from the modular two-point function, justify the onset scale associated with the informational sector, and compute its quantitative impact on freeze-out through numerical solutions. We also analyze the evolution of the informational field Phi_Omega(x) and show that it freezes in before the freeze-out epoch and survives to the present time under gravitational advection. The resulting modification induces percent-level shifts in the relic abundance and sub-percent morphological corrections to the annihilation gamma-ray flux. We compare the scenario with Early Dark Energy, kination, and varying N_eff models, and show that the parameter range 10^{-4} < alpha_log < 10^{-2} remains consistent with Planck, BBN, and BAO constraints while predicting potentially observable deviations in the gamma-ray morphology accessible to next-generation MeV-GeV missions.

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

Abstract

Recent analyses of Fermi-LAT data have identified a nearly spherical, halo-like excess of gamma rays peaking at E_gamma ~ 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 Omega, an informational and modular extension of relativistic quantum field theory and cosmology. CET Omega predicts a universal state-dependent modification to the radiation energy density of the early Universe, characterized by a doubly logarithmic correction originating from renormalized modular fluctuations in the spectral triple of the theory. The correction is negligible during Big Bang nucleosynthesis and recombination but becomes relevant during thermal WIMP freeze-out. We derive the correction from the modular two-point function, justify the onset scale associated with the informational sector, and compute its quantitative impact on freeze-out through numerical solutions. We also analyze the evolution of the informational field Phi_Omega(x) and show that it freezes in before the freeze-out epoch and survives to the present time under gravitational advection. The resulting modification induces percent-level shifts in the relic abundance and sub-percent morphological corrections to the annihilation gamma-ray flux. We compare the scenario with Early Dark Energy, kination, and varying N_eff models, and show that the parameter range 10^{-4} < alpha_log < 10^{-2} remains consistent with Planck, BBN, and BAO constraints while predicting potentially observable deviations in the gamma-ray morphology accessible to next-generation MeV-GeV missions.
Paper Structure (22 sections, 50 equations, 2 figures, 1 table)

This paper contains 22 sections, 50 equations, 2 figures, 1 table.

Table of Contents

  1. Introduction
  2. The CET Omega Radiation Sector
  3. Spectral-Triple Origin of the Doubly Logarithmic Term
  4. Physical Role and Determination of the Onset Scale ai
  5. Magnitude and Scaling of the Correction
  6. WIMP Freeze-Out in CET Omega
  7. Standard Freeze-Out: Brief Review
  8. Modified Boltzmann Equation in CET Omega
  9. Analytic Estimate of the Freeze-Out Shift
  10. Benchmark WIMP Model and Numerical Scan
  11. Illustrative Results
  12. Gamma-Ray Morphology and the Informational Field
  13. Evolution of the Informational Mode
  14. Gravitational Advection and Halo Formation
  15. Modification of the Gamma-Ray Annihilation Rate
  16. ...and 7 more sections

Figures (2)

  • Figure 1: Ratio between the CET$\Omega$ Hubble rate and the standard radiation value, $H_\Omega/H_r$, as a function of temperature. The shaded region indicates the range relevant for WIMP freeze-out. The correction remains well below the percent level while still producing an observable shift in the relic abundance.
  • Figure 2: Fractional change in the relic abundance as a function of $\alpha_{\log}$ for the benchmark WIMP. The shaded band reflects the uncertainty associated with the onset scale $a_i$.