Monte Carlo Study on Distortion of the Space-Dimension in COBE Monopole Data

Abstract

A concise explanation of studies on distortion of space-time dimension is briefly introduced. Second we obtain the limits (i.e., bounded values) of the dimensionless chemical potential $\mu$, the Sunyaev--Zeldovich (SZ) effect y and distortion of the space-dimension $\epsilon$ by Monte Carlo (MC) analysis of the parameter set (T, $d=3+\epsilon$, $\mu$, and $y$) in cosmic microwave data assuming that the SZ effect is positive (y>0). In this analysis, the magnitude of the space-dimension d with distortion of the space-dimension $\epsilon$ is defined by $d=3+\epsilon$. The limits of $\mu$ and $y$ are determined as $|\mu |<9\times 10^{-5}(2\sigma$) ($\mu =(-3.9\pm 2.6)\times 10^{-5}(\sigma$)), $|y|<5\times 10^{-6}(2\sigma$) ($y=(2.0\pm 1.4)\times 10^{-6}(\sigma$)), while the distortion of the space-dimension is $|\epsilon |<6\times 10^{-5}(2\sigma$) ($\epsilon =(-0.78\pm 2.50)\times 10^{-5}(\sigma$)). The magnitudes of these three estimated limits are ordered as $|\mu |\ge |\epsilon |>|y|$. The estimated limit of $|y|<5\times 10^{-6}$ appears to be related to re-ionization processes occurring at redshift $z_{ri}\sim 10$. We also present data analysis assuming a relativistic SZ effect.

Accepted for publication in Astrophysics and Space Science

References in corpus (2)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Analysis of residual spectra and the monopole spectrum for 3 K blackbody radiation by means of non-extensive thermostatistics

Cited by in corpus (1)

• A New Blackbody Radiation Law Based on Fractional Calculus and its Application to NASA COBE Data