Analysis of residual spectra and the monopole spectrum for 3 K blackbody radiation by means of non-extensive thermostatistics

TL;DR

This paper investigates the residual spectra and monopole spectrum of the 3 K cosmic microwave background radiation using non-extensive thermostatistics, providing tighter constraints on spectral deviations and chemical potential.

Contribution

It introduces refined limits on non-extensive parameter q-1 and chemical potential mu for CMB spectra, improving upon previous analyses with a novel application of non-extensive thermostatistics.

Findings

Limits on |q-1| are tighter than previous studies.

Constraints on chemical potential |mu| are established.

Residual spectra deviations are comparable to Sunyaev-Zeldovich effect y.

Abstract

We analyze residual spectra of 3 K blackbody radiation (CMB) using non-extensive thermostatistics with a parameter q-1. The limits of |q-1|<1.2x10^{-5} and the temperature fluctuation |delta T|<(1.6-4.3)x10^{-5} are smaller than those by Tsallis et al. Moreover, analyzing the monopole spectrum by a formula including the chemical potential mu, we obtain the limits |q-1|<2.3x10^{-5} and |mu|<1.6x10^{-4}. |q-1| is comparable with the Sunyaev-Zeldovich effect y.