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- Title
ARITHMETIC QUANTUM GRAVITY.
- Authors
KLEINSCHMIDT, AXEL; NICOLAI, HERMANN; Ahluwalia, D. V.
- Abstract
The arithmetic chaos of classical (super)gravity near a spacelike singularity is elevated to the quantum level via the construction of a cosmological quantum billiard system. Its precise formulation, together with its underlying algebraic structure, allows for a general analysis of the wavefunction of the universe near the singularity. We argue that the extension of these results beyond the billiard approximation may provide a concrete mechanism for emergent space as well as new perspectives on several long-standing issues in canonical quantum gravity. The exponentially growing complexity of the underlying symmetry structure could introduce an element of non-computability that effectively "screens" the cosmological singularity from a complete resolution.
- Subjects
ARITHMETIC; QUANTUM gravity; SPACETIME; MATHEMATICAL singularities; METAPHYSICAL cosmology; WAVE functions; APPROXIMATION theory
- Publication
International Journal of Modern Physics D: Gravitation, Astrophysics & Cosmology, 2010, Vol 19, Issue 14, p2305
- ISSN
0218-2718
- Publication type
Article
- DOI
10.1142/S0218271810018311