A new class of semiclassical wave function uniformizations

We present a new semiclassical technique which relies on replacing complicated classical manifold structure with simpler manifolds, which are then evaluated by the usual semiclassical rules. Under circumstances where the original manifold structure gives poor or useless results semiclassically the replacement manifolds can yield remarkable accuracy. We give several working examples to illustrate the theory presented here.Comment: 12 pages (incl. 12 figures

Neoproterozoic tectonothermal evolution of the central Eastern Desert of Egypt: a slow velocity tectonic process of core complex exhumation

Abstract Regional cooling in the course of Neoproterozoic core complex exhumation in the Central Eastern Desert of Egypt is constraint b

Emergence of four dimensional quantum mechanics from a deterministic theory in 11 dimensions

We develop a deterministic theory which accounts for the coupling of a high dimensional continuum of environmental excitations (called gravonons) to massive particle in a very localized and very weak fashion. For the model presented Schrodinger's equation can be solved practically exactly in 11 spacetime dimensions and the result demonstrates that as a function of time an incoming matter wave incident on a screen extinguishes, except at a single interaction center on the detection screen. This transition is reminiscent of the wave - particle duality arising from the "collapse" (also called "process one") postulated in the Copenhagen-von Neumann interpretation. In our theory it is replaced by a sticking process of the particle from the vacuum to the surface of the detection screen. This situation was verified in experiments by using massive molecules. In our theory this "wave-particle transition" is connected to the different dimensionalities of the space for particle motion and the gravonon dynamics, the latter propagating in the hidden dimensions of 11 dimensional spacetime. The fact that the particle is detected at apparently statistically determined points on the screen is traced back to the weakness and locality of the interaction with the gravonons which allows coupling on the energy shell alone. Although the theory exhibits a completely deterministic "chooser" mechanism for single site sticking, an apparent statistical character results, as it is found in the experiments, due to small heterogeneities in the atomic and gravonon structures

Computational Issues in Urban Design: Developing a Strategy for Solar Impact Assessment

A comprehensive method for identifying the impacts on solar access of large scale architectural projects still continues to be an important and controversial area in city planning and urban design. Previous research studies such as the Sun Wind and Pedestrian Comfort, a study of Toronto's Central Area, demonstrated approaches possible when dealing with solar issues related to urban design. Existing  techniques for solar inventory, analysis and evaluation, while effective, are often dependent on single event analysis (shadow casting) or manual procedures that are time consuming and exceedingly complex especially when needed for day-to-day use by planners or architects involved in complex urban projects. The Centre for Landscape Research has undertaken as part of its research to develop a computational approach that would help city urban designers evaluate and represent the issues of solar access in an urban setting. This paper will outline a series of computational methods developed to utilize an existing municipal digital data base and to describe complex issues of solar access in terms of urban form and context. A technique will be described that quantitatively assesses the total solar potential of a site as compared to changes in solar access due to different urban design proposals. Two-, three- and four-dimensional representation techniques are developed to facilitate understanding of the analysis to users such as city officials, the public, developers, etc

Playing with Time - Continuous Temporal Mapping Strategies for Interactive Environments

The growing acceptance of GIS technology has had far- reaching effects on many fields of research. The recent developments in the area of dynamic and temporal GIS open new possibilities within the realm of historical research where temporal relationship analysis is as important as spatial relationship analysis. While topological structures have had wide use in spatial GIS and have been the subject of most temporal GIS endeavours, the different demands of many of these temporally- oriented analytic processes questions the choice of the topological direction. In the fall of 1992 the Montreal Research Group (MRG) of the Canadian Centre for Architecture mounted an exhibition dealing with the development of the built environment in 18th- century Montreal. To aid in presenting the interpretive messages of their data, the MRG worked with the Centre for Landscape Research (CLR) to incorporate the interactive capabilities of the CLR's PolyTRIM research software with the MRG's data base to produce a research tool as well as a public- access interactive display. The interactive capabilities stemming from a real-time object- oriented structure provided an excellent environment for both researchers and the public to investigate the nature of temporal changes in such aspects as landuse, ethnicity, and fortifications of the 18th century city. This paper describes the need for interactive real- time GIS in such temporal analysis projects and the underlying need for object-oriented vs. topologically structured data access strategies to support them

Polytrim: Collaborative Setting for Environmental Design

This paper begins with a review of the structuring values and questions the Centre for Landscape Research (CLR) is interested in answering with its testbed software system Polytrim (and its derivatives, CLRview, CLRpaint, CLRmosaic available via anonymous ftp over the internet). The mid section of the paper serves as a guide to Polytrim's structure and implementation issues. Some of the most enduring and significant principles learned from Polytrim's use over the last six years of use in research, teaching and professional practice are introduced. The paper will end with an overview of characteristics that we believe our next generation of software should achieve. The CLR's digital library on the World-Wide Web provides an extensive Set of illustrations and detailed descriptions of the ideas and figures presented in this paper. Endnotes provide specific internet addresses for those that wish to read, see or use the system

Dynamic Data Sets as Collaboration in Urban Design

Computer applications to urban design involve a distinctively rich hybrid of geometric, geographic, and annotative information. This condition raises opportunities for collaboration, needs for data integration, and examples of the increasing importance of rich datasets as a basis for design work. This paper describes these general issues, provides substantive examples from recent studio work, and demonstrates a specific implementation of software integration. The latter includes a prototypical data interface, translation tables for multimedia linkage, and capacity to work together with a web browser