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 (6)

• Theory of cosmological perturbations in an anisotropic universe
• Inflationary perturbations in anisotropic backgrounds and their imprint on the CMB
• A Hamiltonian Formulation of the BKL Conjecture
• Gravity Waves Signatures from Anisotropic pre-Inflation
• Hamiltonian General Relativity and the Belinskii, Khalatnikov, Lifshitz Conjecture
• Classical versus quantum completeness