Big bang as a topological quantum phase transition

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 $t=0$.

22 pages, 6 figures, v5: published version

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• Negative Newton constant may destroy some conjectures
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• Q-field from a 4D-brane: Cosmological constant cancellation and Minkowski attractor