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Geometric Algebra for Physicists

- C. Doran, A. Lasenby
- Mathematics
- 7 July 2003

Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering. This book is a complete guide to the current state of the subject with… Expand

Gravity, gauge theories and geometric algebra

- A. Lasenby, C. Doran, S. Gull
- Physics
- Philosophical Transactions of the Royal Society…
- 15 March 1998

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… Expand

New form of the Kerr solution

- C. Doran
- Physics
- 27 October 1999

A new form of the Kerr solution is presented. The solution involves a time coordinate which represents the local proper time for free-falling observers on a set of simple trajectories. Many physical… Expand

A Bloch-sphere-type model for two qubits in the geometric algebra of a 6D Euclidean vector space

- Timothy F. Havel, C. Doran
- Mathematics, Physics
- SPIE Defense + Commercial Sensing
- 18 March 2004

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.… Expand

Lie-groups as Spin groups.

- C. Doran, D. Hestenes, F. Sommen, N. V. Acker
- Mathematics
- 1 August 1993

It is shown that every Lie algebra can be represented as a bivector algebra; hence every Lie group can be represented as a spin group. Thus, the computational power of geometric algebra is available… Expand

A unified mathematical language for physics and engineering in the 21st century

- Joan Lasenby, A. Lasenby, C. Doran
- Mathematics, Physics
- Philosophical Transactions of the Royal Society…
- 15 January 2000

TLDR

PHYSICAL APPLICATIONS OF GEOMETRIC ALGEBRA

- C. Doran, A. Lasenby, Course Aims, A. Q. Tour
- Computer Science
- 2006

TLDR

Imaginary numbers are not real—The geometric algebra of spacetime

- S. Gull, A. Lasenby, C. Doran
- Mathematics
- 1 September 1993

This paper contains a tutorial introduction to the ideas of geometric algebra, concentrating on its physical applications. We show how the definition of a “geometric product” of vectors in 2-and… Expand

Geometric algebra and its application to mathematical physics

- C. Doran
- Mathematics
- 1994

Clifford algebras have been studied for many years and their algebraic properties are well
known. In particular, all Clifford algebras have been classified as matrix algebras over one
of the three… Expand

Geometric Algebra in Quantum Information Processing

- Timothy F. Havel, C. Doran
- Mathematics, Physics
- 7 April 2000

This paper develops a geometric model for coupled two-state quan- tum systems (qubits) using geometric (aka Clifford) algebra. It begins by showing how Euclidean spinors can be interpreted as… Expand

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