The Wave Function of the Universe and CMB Fluctuations
arXiv:1811.12892 · doi:10.1103/PhysRevD.100.043544
Abstract
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.
arXiv commentSome clarifications added, typos corrected, version to be published in PRD
References in corpus (12)
- Non-Gaussian features of primordial fluctuations in single field inflationary models
- Quantum Contributions to Cosmological Correlations
- Inflationary spacetimes are not past-complete
- Lorentzian Quantum Cosmology
- No smooth beginning for spacetime
- No Rescue for the No Boundary Proposal
- The Real No-Boundary Wave Function in Lorentzian Quantum Cosmology
- Tunneling wave function of the universe
- Damped perturbations in the no-boundary state
- What is the No-Boundary Wave Function of the Universe?
- Loops rescue the no-boundary proposal
- Time in quantum theory, the Wheeler-DeWitt equation and the Born-Oppenheimer approximation
Cited by in corpus (13)
- The No-Boundary Proposal as a Path Integral with Robin Boundary Conditions
- No-boundary prescriptions in Lorentzian quantum cosmology
- Unitarity of quantum-gravitational corrections to primordial fluctuations in the Born-Oppenheimer approach
- Observations in Quantum Cosmology
- Lorentzian Vacuum Transitions: Open or Closed Universes?
- Quantum Transitions Between Minkowski and de Sitter Spacetimes
- Lorentzian path integral for quantum tunneling and WKB approximation for wave-function
- A higher-dimensional view on quantum cosmology
- No Smooth Spacetime in Lorentzian Quantum Cosmology and Trans-Planckian Physics
- Gravitational waves in dark bubble cosmology
- Tunneling wavefunction proposal with loop quantum geometry effects
- Lorentzian quantum cosmology with torsion
- Quantum Computing for Inflationary, Dark Energy and Dark Matter Cosmology