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The Wave Function of the Universe and CMB Fluctuations

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arxiv 1811.12892 v5 pith:SPZ3QLF4 submitted 2018-11-30 hep-th astro-ph.COgr-qc

S.P. de Alwis This is my paper · ORCID
classification hep-thastro-ph.COgr-qc
keywords wavefluctuationsfunctiongaussianaroundbackgroundbunch-daviesfind
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The Hartle-Hawking and Tunneling (Vilenkin) wave functions are treated in the Hamiltonian formalism. We find that the leading (i.e. quadratic) terms in the fluctuations around a maximally symmetric background, are indeed Gaussian (rather than inverse Gaussian), for both types of wave function, when properly interpreted. However the suppression of non-Gaussianities and hence the recovery of the Bunch-Davies state is not transparent.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Anisotropic quantum universe in Ho\v{r}ava-Lifshitz gravity

    gr-qc 2025-05 conditional novelty 6.0 of 10

    In the small-universe limit of Horava-Lifshitz gravity, the Wheeler-DeWitt equation separates and the anisotropy wave functions become normalizable harmonic-oscillator states, predicting small initial anisotropies set...

  2. The Wave Function of the Universe and Inflation

    gr-qc 2025-10 reject novelty 3.0 of 10

    Rearranging the Wheeler-DeWitt equation defines the inflaton potential in terms of an arbitrary wave-function phase and amplitude; nothing constrains that wave function, so the potential is relabeled rather than deriv...

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