A Quantum Complete Prelude to Inflation

Abstract

It is shown that the inflationary paradigm admits quantum complete extensions of space-time. The extended inflationary spacetimes still have geodesic borders, but quantum fields are prohibited from migrating across these borders by their evolution semigroups. The geodesic singularities lurking across the borders lack a physical description because the evolution semigroups give vanishing probabilistic support to quantum fields for populating regions bordering on these singularities. As an example, anisotropic Bianchi type-I cosmologies are shown to be quantum complete preludes to inflation. They admit Kasner-like geometries close to their geodesic borders. Quantum fields enjoy a contractive evolution in these asymptotic regions and ultimately become free. As a consequence, quantum probes cannot migrate across the geodesic border of Bianchi type-I cosmologies.

8 pages

References in corpus (12)

• Loop quantum cosmology of Bianchi I models
• Theory of cosmological perturbations in an anisotropic universe
• Inflationary perturbations in anisotropic backgrounds and their imprint on the CMB
• No smooth beginning for spacetime
• Perfect Quantum Cosmological Bounce
• A Hamiltonian Formulation of the BKL Conjecture
• Unitarity and ultraviolet regularity in cosmology
• Gravity Waves Signatures from Anisotropic pre-Inflation
• Hamiltonian General Relativity and the Belinskii, Khalatnikov, Lifshitz Conjecture
• Classical versus quantum completeness
• Perturbations of generic Kasner spacetimes and their stability
• Non-Gaussian ground-state deformations near a black-hole singularity

Cited by in corpus (11)

• A Safe Beginning for the Universe?
• Quantum Incompleteness of Inflation
• Cosmological consequences of a principle of finite amplitudes
• Quantum Circuit Complexity of Primordial Perturbations
• On the initial singularity and extendibility of flat quasi-de Sitter spacetimes
• Quantum probing of null-singularities
• Probing cosmological singularities with quantum fields: Open and closed FLRW universes
• Geometric flavours of Quantum Field theory on a Cauchy hypersurface. Part II: Methods of quantization and evolution
• Geometric flavours of Quantum Field theory on a Cauchy hypersurface. Part I: Gaussian analysis and other Mathematical aspects
• A local diagnostic program for unitary evolution in general space-times
• Unitarity in the Schroedinger Formalism of QFT in Curved Space-Time