Variable Speed of Light Cosmology and Bimetric Gravity: An Alternative to Standard Inflation

A scalar-tensor bimetric gravity model of early universe cosmology is reviewed. The metric frame with a variable speed of light (VSL) and a constant speed of gravitational waves is used to describe a Friedmann-Robertson-Walker universe. The Friedmann equations are solved for a radiation dominated equation of state and the power spectrum is predicted to be scale invariant with a scalar mode spectral index $n_s=0.97$. The scalar modes are born in a ground state superhorizon and the fluctuation modes are causally connected by the VSL mechanism. The cosmological constant is equated to zero and there is no significant dependence on the scalar field potential energy. A possible way of distinguishing the metric gravity model from standard inflationary models is discussed.Comment: 10 pages. Latex file. No figures. Talk given at the Coral Gables Conference on High Energy Physics and Cosmology, Fort Lauderdale, Florida, December 17-21, 2003. Typos corrected. Reference adde

Transient and diffusion analysis of Hg Cd Te

The solution of the one dimensional planar interface solidification problem is presented. Numerical solutions are applied to experimental solute profiles to determine the effective diffusion constant for Hg Co Te. Progress on the design and construction of a high gradient furnace is reported

A Restoration Method for Impulsive Functions

A method is presented for enhancing the resolution of impulsive functions which have been degraded by a known convolutional disturbance and by the addition of white noise. An autoregressive model is employed to represent the spectrum of the ideally resolved impulsive function. The method is flexible in that it allows constraints to be incorporated into the resolution scheme. Two quite diverse examples are presented as illustration

Crustal structure of the Borderland-Continent Transition Zone of southern California adjacent to Los Angeles

We use data from the onshore-offshore component of Los Angeles Region Seismic Experiment (LARSE) to model the broad-scale features of the midcrust to upper mantle beneath a north-south transect that spans the continental borderland in the Los Angeles, California, region. We have developed an analysis method for wide-angle seismic data that consists primarily of refractions, lacks near-offset recordings, and contains wide gaps in coverage. Although the data restrict the analysis to the modeling of broad-scale structure, the technique allows one to explore the limits of the data and determine the resolving power of the data set. The resulting composite velocity model constrains the crustal thickness and location and width of the continent-Borderland transition zone. We find that the mid to lower crust layer velocities of the Inner Borderland are slightly lower than the corresponding layers in the average southern California crust model, while the upper mantle velocity is significantly higher. The data require the Moho to deepen significantly to the north. We constrain the transition zone to initiate between the offshore slope and the southwest Los Angeles Basin. If the Inner Borderland crust is 22 km thick, then the transition zone is constrained to initiate within a 2 km wide region beneath the southwest Los Angeles Basin, and have a width of 20–25 km. The strong, coherent, and continuous Pn phase suggests the Moho is coherent and laterally continuous beneath the Inner Borderland and transition zone. The Inner California Borderland seems to be modified and thickened oceanic crust, with the oceanic upper mantle intact beneath it

London's North-West Kent hinterland? Ruxley hundred, 1200-1350

This thesis explores the development of the former hundred of Ruxley in north-west Kent between 1200 and 1350, focusing on its relationship with the city of London. By the end of the thirteenth century London was a major urban centre which drew in resources from a wide surrounding area to meet its needs. The thesis considers whether Ruxley hundred was part of London’s ‘hinterland’: whether it provided resources for the city, and whether commodities manufactured or imported into the city reached people living in the hundred. For a rural, dispersed hundred such as Ruxley, the impact of the city might have been significant, but it is also possible that local or traditional connections were of greater significance than access to the city itself. Conventional manorial documentation is scarce for north-west Kent. The thesis therefore tests whether alternative sources, in particular information from lay subsidy returns, can be used to throw light on the experience of lay estates and peasants which is otherwise invisible. It links information from the returns with other documentary and archaeological information, using a micro-historical approach. The conclusions are that lay subsidy returns can be a valuable resource when combined with other data. The analysis shows that Ruxley hundred was in a position to provide resources to the city and had a network of markets to service its own needs. London merchants operated in the hundred but some interactions may have been mediated through neighbouring Dartford, where wharves were used to move goods to the city along the Thames. The analysis opens up further avenues for research in surrounding hundreds, particularly in the use of the Thames riverside wharves. The new information presented on Ruxley hundred’s woodland, husbandry and material culture provides useful context for the presentation of significant local heritage sites to the public

A dynamical pairing between two rational maps

Given two rational maps $\varphi$ and $\psi$ on \PP^1 of degree at least two, we study a symmetric, nonnegative-real-valued pairing which is closely related to the canonical height functions $h_\varphi$ and $h_\psi$ associated to these maps. Our main results show a strong connection between the value of and the canonical heights of points which are small with respect to at least one of the two maps $\varphi$ and $\psi$. Several necessary and sufficient conditions are given for the vanishing of . We give an explicit upper bound on the difference between the canonical height $h_\psi$ and the standard height $h_\st$ in terms of , where $\sigma(x)=x^2$ denotes the squaring map. The pairing $$ is computed or approximated for several families of rational maps $\psi$

The Initial-Value Problem of Spherically Symmetric Wyman Sector Nonsymmetric Gravitational Theory

We cast the four-dimensional field equations of the Nonsymmetric Gravitational Theory (NGT) into a form appropriate for numerical study. In doing so, we have restricted ourselves to spherically symmetric spacetimes, and we have kept only the Wyman sector of the theory. We investigate the well-posedness of the initial-value problem of NGT for a particular data set consisting of a pulse in the antisymmetric field on an asymptotically flat space background. We include some analytic results on the solvability of the initial-value problem which allow us to place limits on the regions of the parameter space where the initial-value problem is solvable. These results are confirmed by numerically solving the constraints.Comment: REVTeX 3.0 with epsf macros and AMS symbols, 18 pages, 9 figure