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Quantum creation of a toy Universe without inflation

We propose a toy model for the origin of the Universe, where the scale-invariant fluctuations are generated together with the quantum creation process of the Universe. The fluctuations arise inside an instanton in the Euclidean domain of time. In the Lorentzian point of view, the Universe emerges with passive, coherent and scale-invariant fluctuations present from the beginning, without the need of inflation or a bounce. For this mechanism to work, we need anisotropic scaling in space and time, which is realized in a toy model of Horava–Lifshitz (HL) gravity with a Lifshitz scalar field.