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arXiv · 2205.11450

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

Ralf Hofmann·Janning Meinert·Shyam Sunder Balaji
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Abstract

A review of the spatially flat cosmological model SU(2)$_{\rm CMB}$, 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)$_{\rm CMB}$ 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)$_{\rm CMB}$ 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)$_{\rm CMB}$ 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 $z$.

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Ralf Hofmann, Janning Meinert, Shyam Sunder Balaji. 2022-05-23. Cosmological parameters from Planck data in SU(2)$_{\rm CMB}$, their local $\Lambda$CDM values, and the modified photon Boltzmann equation. https://doi.org/10.1002/andp.202200517

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