What question did this study set out to answer?

This research aims to analyze the U-Cell Model using Boltzmann codes via CLASS to assess its compatibility with cosmic microwave background (CMB) data.

April 6, 20260 citationsOpen Access

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The U-Cell Model and the CMB: Full Boltzmann Analysis via CLASS -- Self-Consistent Sound Horizon, Acoustic Scale, and Power Spectrum

NPNorbert Prebeck

Key Points

This research aims to analyze the U-Cell Model using Boltzmann codes via CLASS to assess its compatibility with cosmic microwave background (CMB) data.
Conducted full Boltzmann analysis using CLASS software for the UCM model.
Evaluated self-consistent metrics like sound horizon and acoustic scale.
Compared findings to previous estimates from relevant literature.
Self-consistent sound horizon is r_d(UCM)=146.859 Mpc, showing minimal deviation from Planck values.
Acoustic scale is l_a(UCM)=301.451, which resolves previous tension reported in earlier studies.
TT power spectrum discrepancies with Planck ΛCDM are minor, with a maximum difference of 0.36% that falls within measurement precision.

Abstract

Full CLASS Boltzmann code analysis of UCM (Omegaₘ=0. 3166, w=-1, Omegab h²=0. 02246). Three results supersede the EH98-based Paper 16: (i) rd (UCM) =146. 859 Mpc (self-consistent, -0. 16% vs Planck), ΔBIC=+3. 1 for DESI DR1 unchanged; (ii) lₐ (UCM) =301. 451, tension 0. 22sigma -- resolves the 1. 8sigmareported in Paper 16 which was an EH98 approximation artefact; (iii) TT power spectrum differs from Planck ΛCDM by max 0. 36% (RMS 0. 18%), below current measurement precision. UCM fullyconsistent with all CMB observables.

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The U-Cell Model and the CMB: Full Boltzmann Analysis via CLASS -- Self-Consistent Sound Horizon, Acoustic Scale, and Power Spectrum

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