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arXiv · 2111.07962

Big bang as a topological quantum phase transition

F. R. Klinkhamer·G. E. Volovik
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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 $t=0$.

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F. R. Klinkhamer, G. E. Volovik. 2021-11-15. Big bang as a topological quantum phase transition. https://doi.org/10.1103/physrevd.105.084066

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