Pushing the limits of time beyond the Big Bang singularity: The branch cut universe

TL;DR

This paper explores a theoretical model extending time beyond the Big Bang singularity by complexifying the FLRW metric, proposing a branch cut universe with multiple superposed universes.

Contribution

It introduces a novel approach using complexified FLRW metrics to conceptualize a universe beyond the initial singularity, expanding the theoretical framework of cosmology.

Findings

Complexification of the FLRW metric allows modeling of a branch cut universe.

Proposes a conceptual framework for multiple superposed universes.

Extends the mathematical tools of singular semi-Riemannian geometry to cosmology.

Abstract

In this article we follow a previously developed theoretical approach, based in the tools of the singular semi-Riemannian geometry, to push the limits of time beyond the primordial spacetime singularity. By complexifying the Friedmann-Lema\^itre-Robertson-Walker (FLRW) metric and Friedmann's equations we model a branch cut universe, in which the cosmic FLRW metric scale factor is analytically continued to the complex plane, and becomes equivalent from a conceptual point of view of describing a hypothetical general metric of maximally symmetric and homogeneous superposed multiple universes.