Primordial matter density contrast and the size of the very early universe in the Quantum Big Bang theory of the cosmological constant

TL;DR

This paper calculates primordial matter density contrast and early universe size within the Quantum Big Bang framework, showing results align with observations without needing inflation.

Contribution

It provides a parameter-free calculation of primordial density contrast and universe size in the Quantum Big Bang theory, challenging the necessity of inflation.

Findings

Primordial density contrast $( ho/\rho)_M$ = 1.75 x 10^{-5}

Universe size at entry into FRW phase = 0.2 cm

Harrison-Zel'dovich spectrum arises naturally

Abstract

We calculate the amount of primordial matter density contrast and the size of the very early universe in the recent Quantum Big Bang theory [arXiv:0705.4549 [gr-qc](2007)] of the cosmological constant. We obtain $(\delta\rho/\rho)_M = 1.75 \times 10^{-5}$, {\it without} the introduction of an adjustable free parameter. Harrison-Zel'dovich $k$-dependence with $A = 64/9\pi^2 = 0.72$ and $n = 1$ in $|\delta_k|^2 = Ak^n$ arises inherently. The size of the universe with which it enters the classical Friedmann-Robertson-Walker (FRW) phase comes out to be 0.2 cm. We conclude that the hypothesis of classical inflation at an early stage of cosmic evolution is {\bf not} needed.