Our formalism described recently in (Dolby et al, hep-th/0103228) is applied to the study of particle creation in spatially uniform electric fields, concentrating on the cases of a time-invariant electric field and a so-called `adiabatic’ electric field. Several problems are … Continued
A reformulation of fermionic QFT in electromagnetic backgrounds is presented which uses methods analogous to those of conventional multiparticle quantum mechanics. Emphasis is placed on the (Schrodinger picture) states of the system, described in terms of Slater determinants of Dirac … Continued
In this paper we apply the concept of radar time (popularised by Bondi in his work on k-calculus) to the well-known relativistic twin `paradox’. Radar time is used to define hypersurfaces of simultaneity for a class of travelling twins, fr … Continued
A new gauge theory of gravity is presented. The theory is constructed in a flat background spacetime and employs gauge fields to ensure that all relations between physical quantities are independent of the position and orientation of the matter fields. … Continued
Stationary vacuum solutions of Kerr-Schild type are analysed within the framework of gauge-theory gravity. The complex structure at the heart of these fields is shown to have a clear geometric origin, with the role of the unit imaginary fulfilled by … Continued
It is shown that higher-weighted representations of rotation groups can be constructed using multilinear functions in geometric algebra. Methods for obtaining the irreducible representations are found, and applied to the spatial rotation group, SO(3), and the proper Lorentz group, SO+(1,3). … Continued
The spin-torsion sector of a new gauge-theoretic formulation of gravity is analysed and the relationship to the Einstein-Cartan-Kibble-Sciama theory of gravity is discussed. The symmetries of the Riemann tensor and the conservation laws of the theory are derived. This formalism … Continued
We consider a fully relativistic method for the calculation of tunnelling times based on the streamlines of the conserved probability flux. This method is similar to that proposed by Leavens but is not based on the Bohmian interpretation. The method … Continued
We present new, massive, non-ghost solutions for the Dirac field coupled self-consistently to gravity. We employ a gauge-theoretic formulation of gravity which automatically identifies the spin of the Dirac field with the torsion of the gauge fields. Homogeneity of the … Continued
A lecture course in geometric algebra delivered at a summer school in Banff, Canada, 1996. A. N. Lasenby, C. J. L. Doran and S. F. Gull, Lectures in Geometric Algebra, In W. E. Baylis, editor, Clifford (Geometric) Algebras with Applications to Physics, Mathematics … Continued