Application of Microlocal Analysis to the Theory of Quantum Fields Interacting with a Gravitational Field

It is explained how techniques from microlocal analysis can be used to settle some long-standing questions that arise in the study of the interaction of quantum matter fields with a classical gravitational background field.Comment: 7 pages, Latex, talk presented at the Conference on Partial Differential Equations, Potsdam 199

Ethical Emissions Trading and the Law

The idea of permit trading in the United States can be traced as far back as the 1970s, but emissions trading has really only became a popular and exportable idea with the more recent demands that environmental protection acknowledge economic pressures through such ideas as sustainable development. Now the idea of emissions trading has caught on in South America, China and Europe as well. Yet in the eagerness of governments and industry to work out the technical details and legal mechanics of the emissions trading tool, insufficient attention has been paid to its underlying legal and ethical assumptions. In this article, it is emphasized that emissions trading is a part of compliance with environmental law, not a market alternative to compliance. The difference between the two greatly effects and is affected by theories of rights. As part of the scheme of rights and accompanying duties, the author questions whether an implicit right to pollute has been created through emissions trading, as exemplified by the comparison of the systems in the U.S., China and Europe

"Expectation"

Previously in Futures, I discussed a word that we use to form an abstract futures concept: “millennium” [1]. In its most common current usage, “millennium” is an example of a word that provides, and one might even say controls, a future orientation for us. In the present essay, I am taking a different approach to the role of the word that I will be discussing. This word is not an example of a future-orientation; rather it is more of an example of language about future-orientation. The word is “expectation”. To make this distinction clearer, it may help to borrow some of the terminological distinctions made by the American logician, C.S. Peirce. First of all, for Peirce, and indeed for my present purposes, signs include words. More specifically, in a paper dated 1867, May 14th, and published in the Proceedings of the American Academy of Arts and Science (Boston), VII (1868) [2] Peirce divided signs into three categories based upon their relationship to their object—Icons, Indices, and Symbols. (Peirce himself used the convention of capitalising the words.) He defined “Icon” as a sign determined by its object “by virtue of its own internal nature”. In comparison, he defined “Index” as a sign determined by its object “by virtue of being in real relation to it”, such as when smoke is a sign of fire. A Symbol, according to Peirce, is a sign determined by its object “only in the sense that it will be so interpreted”. A Symbol thus depends upon conventions or habits

Conventional Wisdom, De-emption, and Uncooperative Federalism in International Environmental Agreements

What powers do to several states of the United States have individually to enter into environmental agreements with other sovereign nations? In this article, the author reviews the power that states may have generally and then specifically regarding environmental agreements. Several traditional tools of analysis have historically been used including the constitutional doctrine of pre-emption, cooperative federalism and the foreign affairs doctrine. Some newer tools of analysis are also offered including the revival of the treaty-compact and the author's own concept of "de-emption". The United States Senate's explicit refusal to ratify the Kyoto Protocol, coupled with the consequent state initiatives to control greenhouse gasses - especially the documents concluded between New Jersey and the Netherlands, provide rich examples of these tools in contemporary action

Modeling the behavior of elastic materials with stochastic microstructure

Even in the simple linear elastic range, the material behavior is not deterministic, but fluctuates randomly around some expectation values. The knowledge about this characteristic is obviously trivial from an experimentalist’s point of view. However, it is not considered in the vast majority of material models in which “only” deterministic behavior is taken into account. One very promising approach to the inclusion of stochastic effects in modeling of materials is provided by the Karhunen-Lo`eve expansion. It has been used, for example, in the stochastic finite element method, where it yields results of the desired kind, but unfortunately at drastically increased numerical costs. This contribution aims to propose a new ansatz that is based on a stochastic series expansion, but at the Gauß point level. Appropriate energy relaxation allows to derive the distribution of a synthesized stress measure, together with explicit formulas for the expectation and variance. The total procedure only needs negligibly more computation effort than a simple elastic calculation. We also present an outlook on how the original approach in [7] can be applied to inelastic material