The no-boundary wave function for loop quantum cosmology

Abstract

Proposing smooth initial conditions is one of the most important tasks in quantum cosmology. On the other hand, the low-energy effective action, appearing in the semiclassical path integral, can get nontrivial quantum corrections near classical singularities due to specific quantum gravity proposals. In this article, we combine the well-known no-boundary proposal for the wavefunction of the universe with quantum modifications coming from loop quantum cosmology (LQC). Remarkably, we find that the restriction of a `slow-roll' type potential in the original Hartle-Hawking proposal is considerably relaxed due to quantum geometry regularizations. Interestingly, the same effects responsible for singularity-resolution in LQC also end up expanding the allowed space of smooth initial conditions leading to an inflationary universe.

6 pages, comments welcome

References in corpus (4)

• Loop quantum cosmology of k=1 FRW models
• The Classical Universes of the No-Boundary Quantum State
• The Real No-Boundary Wave Function in Lorentzian Quantum Cosmology
• Path Integrals and the WKB approximation in Loop Quantum Cosmology

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• Effective Field Theory of Loop Quantum Cosmology
• Big Bang Singularity Resolution In Quantum Cosmology
• Quantum creation of traversable wormholes ex nihilo in Gauss-Bonnet-dilaton gravity
• Tunneling wavefunction proposal with loop quantum geometry effects
• Trouble with geodesics in black-to-white hole bouncing scenarios
• Initial wave-function of the universe is arbitrary
• Quantum gravitational non-singular tunneling wavefunction proposal
• On the geometry of no-boundary instantons in loop quantum cosmology
• Fuzzy instantons in landscape and swampland: review of the Hartle-Hawking wave function and several applications
• Quantum geometrical current and coherence of the open gravitation system: loop quantum gravity coupled with a thermal scalar field