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

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|<1.2×10−5 and the temperature fluctuation |δT|<(1.6–4.3)×10−5 are smaller than those by Tsallis et al. Moreover, analyzing the monopole spectrum by a formula including the chemical potential μ, we obtain the limits |q−1|<2.3×10−5 and |μ|<1.6×10−4. |q−1| is comparable with the Sunyaev–Zeldovich effect y.