Quantum resolution of the cosmological singularity without new physics

TL;DR

This paper demonstrates a quantum cosmological model where the classical Big Bang singularity is resolved without introducing new physics, using superpositions in the connection representation that lead to a non-singular, cyclic universe.

Contribution

It introduces a novel quantum approach in the connection representation that naturally resolves the cosmological singularity without additional boundary conditions or new physics.

Findings

Singularity is resolved without extra boundary conditions.

The universe undergoes a bounce, avoiding the classical singularity.

A superposition of contracting and expanding universes replaces the Big Bang.

Abstract

We study a quantum Hot Big Bang in the connection representation, with a matter constant of motion m whose conjugate defines time. Superpositions in m induce a unitary inner product. The wavefunction reveals a resolution of the singularity problem without new physics or supplementary boundary conditions. Backtracking in time, the probability peak eventually halts at a maximum curvature, its height dropping thereafter while a symmetric contracting peak rises. The Big Bang is replaced by a superposition of contracting and expanding regular Universes. We contrast these findings with the situation in the metric representation, where boundary conditions at the singularity are needed for unitary evolution.