Time, Incompleteness and Singularity in Quantum Cosmology

TL;DR

This paper explores the implications of incompleteness, extendibility, and singularities in quantum cosmology, comparing different theoretical approaches and considering the role of initial conditions and spacetime dynamics.

Contribution

It extends previous work by analyzing universal expansion, spacetime extendibility, and the role of initial conditions in quantum cosmology, incorporating Penning trap dynamics and comparing with Lynds' conjecture.

Findings

Inclusion of universal expansion effects in quantum cosmology models.

Comparison of spacetime extendibility and singularity conditions.

Discussion of initial condition specialness in inflationary quantum cosmology.

Abstract

In this paper we extend our 2007 paper, Comparative Quantum Cosmology: Causality, Singularity, and Boundary Conditions, arXiv:0710.5046 to include consideration of universal expansion, various implications of extendibility and incompleteness in spacetime metrics and, absent the treatment of Feynman diagrams, the use of Penning trap dynamics as explained by Ferdandez and Velazquez to describe the Hamiltonians of space-times with no characteristic upper or lower bound and to compare the above with Peter Lynds' conjecture on the specialness of initial conditions in inflationary theory in quantum cosmology.