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

We analyze residual spectra of 3 K blackbody radiation (CMB) using non-extensive thermostatistics with a parameter q−1q−1. The limits of |q−1|<1.2×10−5|q−1|<1.2×10−5 and the temperature fluctuation |δT|<(1.6–4.3)×10−5|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|q−1|<2.3×10−5 and |μ|<1.6×10−4|μ|<1.6×10−4. |q−1||q−1| is comparable with the Sunyaev–Zeldovich effect y.

► Spectrum on 3K blackbody radiation (CMB) is analyzed by Tsallis thermostatistics. ► CMB data are analyzed by formulas with q−1q−1 and temperature fluctuation δT  . ► Residual spectrum on CMB data is analyzed by formulas with q−1q−1 and δT. ► Planck distribution with chemical potential μ   and q−1q−1 is also utilized. ► Among four limits (q−1q−1, δT, y and μ  ), |μ||μ| is the largest limit.