This paper describes an intuitive geometric model for coupled twostate quantum systems (qubits), which is formulated using geometric (aka Clifford) algebra. It begins by showing how Euclidean spinorsâ€¦ (More)

We discuss a coordinate-free approach to the geometry of computer vision problems. The technique we use to analyse the three-dimensional transformations involved will be that of geometric algebra: aâ€¦ (More)

Geometric algebra is a mathematical structure that is inherent in any metric vector space, and defined by the requirement that the metric tensor is given by the scalar part of the product of vectors.â€¦ (More)

Preface This dissertation is the result of work carried out in the Department of Applied Mathematics and Theoretical Physics between October 1990 and October 1993. Sections of the dissertation haveâ€¦ (More)

We discuss three applications of a gauge theory of gravity to rotating as-trophysical systems. The theory employs gauge fields in a flat Minkowski background spacetime to describe gravitationalâ€¦ (More)

In this contribution we describe some applications of geometric algebra to the field of black hole physics. Our main focus is on the properties of Dirac wavefunctions around black holes. We show theâ€¦ (More)

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 interpretation of thisâ€¦ (More)

A new method is proposed for modelling spherically symmetric inhomogeneities in the Universe. The inhomogeneities have finite size and are compensated, so they do not exert any measurableâ€¦ (More)

This paper presents an intuitive geometric model for multiqubit quantum systems, which is formulated using geometric (aka Clifford) algebras. First, it is shown how Euclidean spinors may beâ€¦ (More)

We present a new model for the formation of spherically symmetric clusters in an expanding Universe. Both the Universe and the collapsing cluster are governed by the same pressure less fluidâ€¦ (More)