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 jj-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 $j$-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

The European Community\u27s Policy on Implementation of Environmental Directives

This Article first discusses the legal nature of the directive and the process by which Member States implement directives. Second, this Article explores enforcement of directives and examines the enforcement roles of the Commission of the European Communities and the Court of Justice of the European Communities. Finally this Article proposes a series of initiatives at the Member State and Community levels to improve implementation and enforcement of Community environmental law