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Canonising the Hartle-Hawking proposal
Institution:1. Channing Division of Network Medicine, Department of Medicine, Harvard Medical School and Brigham and Women’s Hospital, 181 Longwood Avenue, 3rd Floor, Boston, MA 02115, USA;2. Department of Epidemiology, Harvard T.H. Chan School of Public Health, Boston, MA, USA;3. Department of Epidemiology, Gillings School of Global Public Health, University of North Carolina at Chapel Hill, 135 Dauer Drive, 2101 McGavran-Greenberg Hall, CB #7435, Chapel Hill, NC, 27599-7435, USA;4. Department of Medicine, University of North Carolina at Chapel Hill, Chapel Hill, NC, USA;5. Kaiser Permanente Northern California, Division of Research, 2000 Broadway, Oakland, CA, 94612 USA;6. Department of Sociology and Carolina Population Center, University of North Carolina at Chapel Hill, 308 W. Rosemary Street, Room #219, Chapel Hill, NC 27516, USA;7. Lineberger Comprehensive Cancer Center, University of North Carolina at Chapel Hill, Chapel Hill, NC, USA;8. Carolina Population Center, University of North Carolina at Chapel Hill, Chapel Hill, NC, USA
Abstract:The canonical formulation of the Hartle-Hawking proposal is discussed in a class of spatially homogeneous minisuperspace model. Relying on arguments of consistency with the classical variational principle, we find a set of canonical variables in which the Hartle-Hawking boundary condition is obtained by fixing in the path integral the final values of the canonical coordinates but the initial values of the canonical momenta. A canonical measure of this kind offers a natural starting point for skeletonising the minisuperspace Hartle-Hawking path integral.
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