On the Birth of the Universe and Time

TL;DR

This paper proposes a quantum gravity-based theory for the universe's initial state, using Euclidean quantum gravity and wave functionals to estimate the universe's initial radius.

Contribution

It introduces a novel quantum representation framework for the universe's origin, linking action eigenvalues to initial conditions within Euclidean quantum gravity.

Findings

Initial radius of the universe estimated

Wave function of the initial state constructed

Eigenvalue of the action operator analyzed

Abstract

A theory of the initial state of the universe is proposed within the framework of the Euclidean quantum theory of gravity. The theory is based on a quantum representation in which the action functional is implemented as an operator on the space of wave functionals depending on the 4D space metric and matter fields. The initial construction object is the eigenvalue of the action operator in the area of the Origin of the universe with the given values of the 3D metric and matter fields on the boundary. The wave function of the initial state is plotted as an exponential of this eigenvalue, after a Wick rotation in the complex plane of the radial variable of the Euclidean 4D space. An estimate of the initial radius of the universe is proposed.