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Midisuperspace quantization: Possibilities for fractional and emergent spacetime dimensions

Tibrewala, Rakesh (2016) Midisuperspace quantization: Possibilities for fractional and emergent spacetime dimensions. In: PHYSICAL REVIEW D, 93 (12).

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Official URL: http://dx.doi.org/10.1103/PhysRevD.93.124045

Abstract

Recently, motivated by certain loop quantum gravity-inspired corrections, it was shown that for spherically symmetric midisuperspace models infinitely many second-derivative theories of gravity exist (as revealed by the presence of three arbitrary functions in the corresponding Lagrangian/Hamiltonian) and not just those allowed by spherically symmetric general relativity. This freedom can be interpreted as the freedom to accommodate certain quantum gravity corrections in these models even in the absence of higher-curvature terms (at a semiclassical level, at least). For a particular choice of the arbitrary functions it is shown that the new theories map to spherically symmetric general relativity in arbitrary number of (integer) dimensions thus explicitly demonstrating that when working with midisuperspace models, one loses the information about the dimensionality of the full spacetime. In addition, it is shown that these new theories can accommodate scenarios of fractional spacetime dimensions as well as those of emergent spacetime dimensions-a possibility suggested by various approaches to quantum gravity.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 17 Aug 2016 04:22
Last Modified: 17 Aug 2016 04:22
URI: http://eprints.iisc.ac.in/id/eprint/54267

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