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
An objective account of the action of a Stern-Gerlach apparatus on spin-1/2 particles is given, using the Dirac equation. This generalizes earlier work on a causal interpretation of the Pauli equation to the relativistic domain, leading to a more natural … Continued
Clifford’s ‘geometric algebra‘ is presented as the natural language for expressing geometrical ideas in mathematical physics. Its spacetime version ‘spacetime algebra‘ is introduced and is shown to provide a powerful, invariant description of relativistic physics. Applications to electromagnetism and gravitation … Continued
A new gauge-theoretic approach to gravity is applied to the study of rotating cylindrically-symmetric strings. The interior and exterior equations are reduced to a simple set of first-order differential equations, and suitable matching conditions are obtained. The gauge theory formulation … Continued
This paper surveys the application of `geometric algebra’ to the physics of electrons. The mathematical ideas underlying geometric algebra were discovered jointly by Clifford and Grassmann in the late 19th century. Their discoveries were made during a period in which … Continued