Big bang as a topological quantum phase transition

TL;DR

This paper proposes that the Big Bang can be viewed as a quantum phase transition between topologically distinct vacua, characterized by a quantum-vacuum variable, offering a new perspective on cosmological origins.

Contribution

It introduces a novel interpretation of the Big Bang as a topological quantum phase transition involving a vacuum variable $q$, linking cosmology with quantum field theory.

Findings

Big bang as a transition between vacua with $q= \pm q_0$

Existence of a kink solution $q(t)$ interpolating between vacua

Conformal symmetry at $q=0$ at $t=0

Abstract

It has been argued that a particular type of quantum-vacuum variable $q$ can provide a solution to the main cosmological constant problem and possibly also give a cold-dark-matter component. We now show that the same $q$-field may suggest a new interpretation of the big bang, namely as a quantum phase transition between topologically inequivalent vacua. These two vacua are characterized by the equilibrium values $q=\pm \, q_{0}$ and there is a kink-type solution $q(t)$ interpolating between $q=- q_{0}$ for $t\to -\infty$ and $q= +q_{0}$ for $t\to \infty$, with conformal symmetry for $q=0$ at $t=0$.