Summary
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1 Sample Definition And Size
The study applies a mathematical inversion method (blackbody radiation inversion) to cosmic microwave background (CMB) data from the COBE/FIRAS instrument. It uses three input data points from the COBE/FIRAS spectral irradiance measurements to infer the temperature probability distribution of the CMB generating medium. No human or animal subjects; the “sample” consists of three spectral data points.
2 Study Type
This is a methodological and computational study applying an analytical inversion technique to observational astrophysical data—specifically, an observational data analysis using a novel mathematical inversion method.
3 Conflicts Of Interest
No conflicts of interest or competing interests are declared in the paper; none are indicated in the published article.
4 Results Summary
The inversion yields a temperature probability distribution with mean temperature μ ≈ 2.69 K and standard deviation σ ≈ 0.195 K. The reconstructed spectrum deviates from the original COBE/FIRAS data by a standard deviation of 0.142×10⁻¹⁰ W/m²·μm·sr (or 5.209×10⁻²⁰ W/m²·Hz·sr at 1049 μm). The inferred distortions correspond to y ≈ 10⁻³ and μ-distortion ≈ 10⁻², significantly larger than COBE/FIRAS detection limits (~10⁻⁵), indicating that current data are not sensitive enough to detect such distortions; future missions like PIXIE and PRISM could reach sensitivities of |y|≈10⁻⁸ and |μ|≈5×10⁻⁸ (PIXIE) or ~10⁻⁹ (PRISM).