BLACK HOLE PROBES OF AUTOMORPHIC SPACE
2012 ◽
Vol 21
(11)
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pp. 1242015
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The Past
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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.
2005 ◽
Vol 14
(12)
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pp. 2347-2353
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2002 ◽
Vol 11
(10)
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pp. 1537-1540
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2001 ◽
Vol 16
(supp01c)
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pp. 1001-1004
Keyword(s):
2009 ◽
Vol 24
(18n19)
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pp. 3571-3576
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Keyword(s):
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2008 ◽
Vol 23
(35)
◽
pp. 2987-2996
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2007 ◽
Vol 16
(03)
◽
pp. 841-851
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2016 ◽
Vol 25
(12)
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pp. 1644018
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Keyword(s):
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