Imprint of galactic rotation curves and metric fluctuations on the recombination era anisotropy

Abstract

In applications of the conformal gravity theory it has been shown that a scale of order 105 Mpc due to large scale inhomogeneities such as clusters of galaxies is imprinted on the rotation curves of galaxies. Here we show that this same scale is imprinted on recombination era anisotropies in the cosmic microwave background. We revisit an analysis due to Mannheim and Horne, to show that in the conformal gravity theory the particle horizon distance scale of metric signals that originate in the primordial nucleosynthesis era at 109∘ K can encompass the entire recombination era sky. Similarly, the particle horizon distance scale of acoustic signals that originate at 1013∘ K can also encompass the entire recombination era sky. We show that the amplitudes of metric fluctuations that originate in the nucleosynthesis era can grow by a factor of 1012 by recombination, and by a factor of 1018 by the current time. In addition we find that without any period of exponential expansion a fluctuation amplitude that begins at a temperature of order 1033∘ K can grow by a factor of 1060 by recombination and by a factor of 1066 by the current time.