Time, Incompleteness and Singularity in Quantum Cosmology

Abstract

Abstract. In this paper we extend our 2007 paper, "Comparative Quantum Cosmology: Causality, Singularity, and Boundary Conditions", http://arxiv.org/ ftp/arxiv/papers/0710/0710.5046.pdf, 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 to describe the Hamiltonians of space-times with no characteristic upper or lower bound.

The Fundamental Importance of Discourse in Theoretical Physics

“…First we agree with Barbour et al that time is actually a second order endogenous variable of the absolute cosmological manifold shape [5] [10] and secondly, we have offered elsewhere our own unique solution to "the problem of specialness" [19][20] [21]. We agree with Bell that this interpretation of the Schrodinger equation has unwelcome consequences for thermodynamic reversibility, some of which we have discussed previously [20] [21] and others which will be more fully elucidated in a forthcoming paper.…”

“…Thus, it is exact ly due to there not being a precise static instant in time underlying a dynamical physical process, and the relative motion of body in relat ive motion or a physical magn itude not being precisely determined at any time, that motion and variation in physical magnitudes is possible: there is a necessary trade off of all precisely determined physical values at a time , fo r their continuity through time." [12] This simple, but very counter-intuitive conclusion has been developed in subsequent papers [20] [21][22] [23]. The following section exp lores some of these results, and one might also wish to keep in mind Julian Barbour's maxim that "had duration been properly studied in classical physics, its disappearance in the conjectured quantum universe would have appeared natural."…”