71,046 research outputs found
Black Hole Probes of Automorphic Space
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.Comment: Gravity Research Foundation essa
Multifield Reheating after Modular -Inflation
In the inflationary framework of cosmology the initial phase of rapid
expansion has to be followed by a reheating stage, which is envisioned to end
in a radiation dominated big bang. Key parameters that characterize this big
bang state are the temperature at the end of the reheating stage and the baryon
asymmetry. For general interacting theories these parameters are difficult to
obtain analytically because of the involved structure of the potential. In this
paper multifield reheating is considered for interacting theories in which the
inflaton trajectory is weakly curved. This scenario is realized in the model of
-inflation, a particular example of modular inflation, allowing an estimate
of the reheat temperature.Comment: 15 pages, improved approximation, added reference
The celestine prophecy: an adventure
Reviewed Book: Redfield, James. The celestine prophecy: an adventure. New York: Warner Books, 1993
Patterns of Speciation and Extinction and the Divine Valuing of Creation
The near-universal concern over the current rate of species extinction must be contextualized,
given the occurrence ofprevious mass extinctions during the course of Earth\'s natural
history. Current scientific knowledge regarding patterns of speciation and extinction
present two challenges to the theologian: 1 ) how to understand God\'s relationship to these
patterns; and 2) how to understand God\'s valuation of transient creatures in creation. After reviewing current theories regarding speciation and extinction, the implications for theology are addressed, particularly the need to account for extinction as an undeniable feature of cosmic history
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