Probability distribution for the quantum universe - Archive ouverte HAL
Article Dans Une Revue Journal of High Energy Physics Année : 2021

Probability distribution for the quantum universe

Alex Kehagias
  • Fonction : Auteur
Hervé Partouche
Nicolaos Toumbas
  • Fonction : Auteur

Résumé

We determine the inner product on the Hilbert space of wavefunctions of the universe by imposing the Hermiticity of the quantum Hamiltonian in the context of the minisuperspace model. The corresponding quantum probability density reproduces successfully the classical probability distribution in the ħ → 0 limit, for closed universes filled with a perfect fluid of index w. When −1/3 < w ≤ 1, the wavefunction is normalizable and the quantum probability density becomes vanishingly small at the big bang/big crunch singularities, at least at the semiclassical level. Quantum expectation values of physical geometrical quantities, which diverge classically at the singularities, are shown to be finite.

Dates et versions

hal-03372745 , version 1 (11-10-2021)

Identifiants

Citer

Alex Kehagias, Hervé Partouche, Nicolaos Toumbas. Probability distribution for the quantum universe. Journal of High Energy Physics, 2021, 12, pp.165. ⟨10.1007/JHEP12(2021)165⟩. ⟨hal-03372745⟩
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