Cosmological parameters from Planck data in SU(2)${}_{\mathrm{CMB}}$, their local $\Lambda$CDM values, and the modified photon Boltzmann equation

Abstract

A review of the spatially flat cosmological model SU(2)${}_{\mathrm{CMB}}$, minimally induced by the postulate that the Cosmic Microwave Background (CMB) is subject to an SU(2) rather than a U(1) gauge principle, is given. Cosmological parameter values, which are determined from the Planck CMB power spectra at small angular scales, are compared to their values in spatially flat $\Lambda$CDM from both local and global extractions. As a global model SU(2)${}_{\mathrm{CMB}}$ leans towards local $\Lambda$CDM cosmology and is in tension with some global $\Lambda$CDM parameter values. We present spectral antiscreening / screening effects in SU(2)${}_{\mathrm{CMB}}$ radiance within the Rayleigh-Jeans regime in dependence on temperature and frequency. Such radiance anomalies can cause CMB large-angle anomalies. Therefore, it is pointed out how SU(2)${}_{\mathrm{CMB}}$ modifies the Boltzmann equation for the perturbations of the photon phase space distribution at low redshift and why this requires to the solve the $\ell$-hierarchy on a comoving momentum grid ($q$-grid) for all $z$.

9 pages, 7 figures

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Cited by in corpus (2)

• Frequency-redshift relation of the Cosmic Microwave Background
• Electroweak parameters from mixed SU(2) Yang-Mills Thermodynamics