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

TL;DR

This paper explores two novel scenarios for the universe's origin involving complex time and branch cuts, proposing models that avoid primordial singularities and include parallel universes, with a quantum formulation based on the Wheeler-DeWitt equation.

Contribution

It introduces two new scenarios for universe evolution involving complex time and branch cuts, extending cosmological models beyond the Big Bang singularity.

Findings

Continuous evolution from negative to positive complex time without singularity

Disappearance of branch cuts after Wick rotation to thermal time

Proposal of a parallel universe evolving backwards in thermal time

Abstract

In this contribution we identify two scenarios for the evolutionary branch cut universe. In the first scenario, the universe evolves continuously from the negative complex cosmological time sector, prior to a primordial singularity, to the positive one, circumventing continuously a branch cut, and no primordial singularity occurs in the imaginary sector, only branch points. In the second scenario, the branch cut and branch point disappear after the realisation of the imaginary component of the complex time by means of a Wick rotation, which is replaced by the thermal time. In the second scenario, the universe has its origin in the Big Bang, but the model contemplates simultaneously a mirrored parallel evolutionary universe going backwards in the cosmological thermal time negative sector. A quantum formulation based on the WDW equation is sketched and preliminary conclusions are drawn.