Spherical Shell Cosmological Model and Uniformity of Cosmic Microwave Background Radiation

TL;DR

This paper proposes a spherical shell cosmological model that explains the uniformity of the CMB and matches key observational data without requiring inflation, supported by general relativity and holographic principles.

Contribution

It introduces a spherical shell universe model that naturally accounts for cosmic uniformity and aligns with multiple observational measurements, challenging standard inflationary explanations.

Findings

Predicts the size of the observable universe as an arc length within the shell.

Matches the observed Hubble constant and cosmic expansion rate.

Explains CMB uniformity without inflation.

Abstract

Considered is spherical shell as a model for visible universe and parameters that such model must have to comply with the observable data. The topology of the model requires that motion of all galaxies and light must be confined inside a spherical shell. Consequently the observable universe cannot be defined as a sphere centered on the observer, rather it is an arc length within the volume of the spherical shell. The radius of the shell is 4.46 $\pm$ 0.06 Gpc, which is for factor $\pi$ smaller than radius of a corresponding 3-sphere. However the event horizon, defined as the arc length inside the shell, has the size of 14.0 $\pm$ 0.2 Gpc, which is in agreement with the observable data. The model predicts, without inflation theory, the isotropy and uniformity of the CMB. It predicts the correct value for the Hubble constant $H_0$ = 67.26 $\pm$ 0.90 km/s/Mpc, the cosmic expansion rate $H(z)$, and the speed of the event horizon in agreement with observations. The theoretical suport for shell model comes from general relativity, curvature of space by mass, and from holographic principle. The model explains the reason for the established discrepancy between the non-covariant version of the holographic principle and the calculated dimensionless entropy $(S/k)$ for the visible universe, which exceeds the entropy of a black hole. The model is in accordance with the distribution of radio sources in space, type Ia data, and data from the Hubble Ultra Deep Field optical and near-infrared survey.