7 citations · 12 across the 4 of their papers we have counts for
11 papers
Spacetime algebra and electron physics
C. J. L. Doran, A. N. Lasenby, S. F. Gull +2
This paper surveys the application of geometric algebra to the physics of electrons. It first appeared in 1996 and is reproduced here with only minor modifications. Subjects covere…
Analytic solutions to Riemann-squared gravity with background isotropic torsion
A. N. Lasenby, C. J. L. Doran, R. Heineke
Motivated by conventional gauge theories, we consider a theory of gravity in which the Einstein-Hilbert action is replaced by a term that is quadratic in the Riemann tensor. We foc…
Integral equations, Kerr-Schild fields and gravitational sources
Chris Doran, Anthony Lasenby
Kerr-Schild solutions to the vacuum Einstein equations are considered from the viewpoint of integral equations. We show that, for a class of Kerr-Schild fields, the stress-energy t…
Circle and sphere blending with conformal geometric algebra
Chris Doran
Blending schemes based on circles provide smooth `fair' interpolations between series of points. Here we demonstrate a simple, robust set of algorithms for performing circle blends…
Conformal Geometry, Euclidean Space and Geometric Algebra
Chris Doran, Anthony Lasenby, Joan Lasenby
Projective geometry provides the preferred framework for most implementations of Euclidean space in graphics applications. Translations and rotations are both linear transformation…
Interaction and Entanglement in the Multiparticle Spacetime Algebra
Timothy F. Havel, Chris J. L. Doran
The multiparticle spacetime algebra (MSTA) is an extension of Dirac theory to a multiparticle setting, which was first studied by Doran, Gull and Lasenby. The geometric interpretat…