Monte Carlo study on distortion of the space-dimension in COBE monopole data

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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|< 9x10(-5) (2 sigma) (mu=(-3.9 +/- 2.6)x10(-5) (sigma)), |y|< 5x10(-6) (2 sigma) (y=(2.0 +/- 1.4)x10(-6) (sigma)), while the distortion of the space-dimension is |epsilon|< 6x10(-5) (2 sigma) (epsilon=(-0.78 +/- 2.50)x10(-5) (sigma)). The magnitudes of these three estimated limits are ordered as . The estimated limit of |y|< 5x10(-6) appears to be related to re-ionization processes occurring at redshift z (ri similar to)10. We also present data analysis assuming a relativistic SZ effect.
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