BLACK HOLE PROBES OF AUTOMORPHIC SPACE
- SCHIMMRIGK, ROLF Theory Group, Department of Physics, CERN, CH-1211, Geneva 23, Switzerland
- 2012-11-16
Published in:
- International Journal of Modern Physics D. - World Scientific Pub Co Pte Lt. - 2012, vol. 21, no. 11, p. 1242015
English
Over the past few years the arithmetic Langlands program has proven useful in addressing physical problems. In this paper it is shown how Langlands' reciprocity conjecture for automorphic forms, in combination with a representation theoretic notion of motives, suggests a framework in which the entropy of automorphic black holes can be viewed as a probe of spacetime that is sensitive to the geometry of the extra dimensions predicted by string theory. If it were possible to produce black holes with automorphic entropy in the laboratory their evaporation would provide us with information about the precise shape of the compact geometry.
- Language
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- English
- Open access status
- green
- Identifiers
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- DOI 10.1142/s0218271812420151
- ISSN 0218-2718
- Persistent URL
- https://sonar.ch/global/documents/243185
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