Pre-inflation: origin of the Universe from a topological phase transition

TL;DR

This paper proposes a model where the universe's origin is explained through a topological phase transition involving complex time, transitioning from Euclidean to inflationary spacetime, with exact back-reaction effects computed.

Contribution

It introduces a novel approach modeling the universe's birth via a complex manifold and topological phase transition, with exact calculations of back-reaction effects.

Findings

The universe's origin can be described as a topological phase transition.

The model captures the dynamical rotation of complex time during the transition.

Back-reaction effects are exactly computed using Relativistic Quantum Geometry.

Abstract

I study a model which describes the birth of the universe using a global topological phase transition with a complex manifold where the time, $\tau$, is considered as a complex variable. Before the big bang $\tau$ is a purely imaginary variable so that the space can be considered as Euclidean. The phase transition from a pre-inflation to inflation is examined by studying the dynamical rotation of the time on the complex plane. Back-reaction effects are exactly calculated using Relativistic Quantum Geometry.