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7 papers · 1 filter
Nonstandard Consequence Operators Generated By Mixed Logic-Systems
Robert A. Herrmann
Mixed logic-systems contain both standard and nonstandard coordinate values. In this paper, it is shown that each of the specifically defined mixed logic-systems generates an inter…
Classical and Quantum Singularities of Levi-Civita Spacetimes with and without a Positive Cosmological Constant
D. A. Konkowski, C. Reese, T. M. Helliwell +1
Levi-Civita spacetimes have classical naked singularities. They also have quantum singularities. Quantum singularities in general relativistic spacetimes are determined by the beha…
The Hopf algebra structure of multiple harmonic sums
Michael E. Hoffman
Multiple harmonic sums appear in the perturbative computation of various quantities of interest in quantum field theory. In this article we introduce a class of Hopf algebras that…
Are classically singular spacetimes quantum mechanically singular as well?
D. A. Konkowski, T. M. Helliwell, V. Arndt
Are the classical singularities of general relativistic spacetimes, normally defined by the incompleteness of classical particle paths, still singular if quantum mechanical particl…
Definition and classification of singularities in GR: classical and quantum
D. A. Konkowski, T. M. Helliwell
We will briefly review the definition and classification of classical and quantum singularities in general relativity. Examples of classically singular spacetimes that do not have…
Quantum singularity of Levi-Civita spacetimes
D. A. Konkowski, T. M. Helliwell, C. Wieland
Quantum singularities in general relativistic spacetimes are determined by the behavior of quantum test particles. A static spacetime is quantum mechanically singular if the spatia…