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

TL;DR

This paper demonstrates that large-scale inhomogeneities and metric fluctuations predicted by conformal gravity theory leave observable imprints on the cosmic microwave background's anisotropy during recombination, with fluctuations growing significantly over cosmic time.

Contribution

It shows that conformal gravity predicts specific imprints of primordial metric fluctuations on the CMB anisotropy, linking early universe scales to present observations without requiring exponential inflation.

Findings

Large-scale inhomogeneities imprint on galaxy rotation curves and CMB anisotropies.

Metric fluctuations from nucleosynthesis era can grow by factors of 10^12 to 10^18 by recombination.

Small initial scales can grow to cosmic sizes without exponential expansion, starting from as small as 10^-33 cm.

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 length scale of metric signals that originate in the primordial nucleosynthesis era at $10^{9\circ}$K can fill out the entire recombination era sky. Similarly, the length scale of acoustic signals that originate at $10^{13\circ}$K can also fill out 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 $10^{12}$ at recombination, and by a factor of $10^{18}$ at the current time. In addition we find that without any period of exponential expansion a length scale as small as $10^{-33}$ cm can grow to the size of the recombination sky if it begins to grow at a temperature of order $10^{33}$ degrees.