These are preprints of papers written by members of the Geometric Algebra Research Group. Click on the title of a paper to read its abstract, if one is available. Postscript files of most of the papers are also available.

The postscript versions of the papers have been compressed using the gzip utility, which can be freely downloaded from any of the GNU ftp sites (UK mirror). If your browser does not automatically decompress the file then save it, decompress it manually and view it with a postscript viewer such as Ghostview/GSview.

S. F. Gull.
Charged Particles at Potential Steps
In A. Weingartshofer and D. Hestenes, editors, The Electron (Kluwer Academic, Dordrecht, 1991), p. 37-48.

C. J. L. Doran, A. N. Lasenby and S. F. Gull.
Grassmann Mechanics, Multivector Derivatives and Geometric Algebra
In Z. Oziewicz, A. Borowiec and B. Jancewicz, editors, Spinors, Twistors, Clifford Algebras and Quantum Deformations (Kluwer Academic, Dordrecht, 1993), p. 215-226.

A. N. Lasenby, C. J. L. Doran and S. F. Gull.
2-spinors, Twistors and Supersymmetry in the Spacetime Algebra
In Z. Oziewicz, A. Borowiec and B. Jancewicz, editors, Spinors, Twistors, Clifford Algebras and Quantum Deformations (Kluwer Academic, Dordrecht, 1993), p.233-245.

A. N. Lasenby, C. J. L. Doran and S. F. Gull.
Grassmann Calculus, Pseudoclassical Mechanics and Geometric Algebra
J. Math. Phys. 34(8), 3683-3712 (1993).

C. J. L. Doran, D. Hestenes, F. Sommen and N. van Acker.
Lie Groups as Spin Groups
J. Math. Phys. 34(8), 3642-3669 (1993).

S. F. Gull, A. N. Lasenby and C. J. L. Doran.
Imaginary Numbers are not Real - the Geometric Algebra of Spacetime
Found. Phys. 23(9), 1175-1201 (1993)

C. J. L. Doran, A. N. Lasenby and S. F. Gull.
States and Operators in the Spacetime Algebra
Found. Phys. 23(9), 1239-1264 (1993)

A. N. Lasenby, C. J. L. Doran and S. F. Gull.
A Multivector Derivative Approach to Lagrangian Field Theory
Found. Phys. 23(10), 1295-1327 (1993)

S. F. Gull, A. N. Lasenby and C. J. L. Doran.
Electron Paths, Tunnelling and Diffraction in the Spacetime Algebra
Found. Phys. 23(10), 1329-1356 (1993)

C. J. L. Doran, A. N. Lasenby and S. F. Gull.
Gravity as a Gauge Theory in the Spacetime Algebra
In F. Brackx and R. Delanghe, editors, Clifford Algebras and their Applications in Mathematical Physics. Deinze 1993 (Kluwer Academic, Dordrecht, 1993), p. 375-385.

A. N. Lasenby, C. J. L. Doran and S. F. Gull.
Cosmological Consequences of a Flat-Space Theory of Gravity
In F. Brackx and R. Delanghe, editors, Clifford Algebras and their Applications in Mathematical Physics. Deinze 1993 (Kluwer Academic, Dordrecht, 1993), p. 387-396.

C J. L. Doran.
Geometric Algebra and its Application to Mathematical Physics
Ph.D. thesis, University of Cambridge (1994).

A. N. Lasenby, C. J. L. Doran and S. F. Gull.
Astrophysical and Cosmological Consequences of a Gauge Theory of Gravity
In N. Sanchez and A. Zichichi, eds. Advances in Astrofundamental Physics. Erice 1994 (World Scientific Publishing Co., 1995), p. 359-401.

E. Bayro-Corrochano and J. Lasenby.
Object modelling and motion analysis using Clifford algebra
In R. Mohr and C.K. Wu, eds., Proceedings of the Europe-China Workshop on Geometric Modelling and Invariants for Computer Vision, Xian 1995 (Xidian University Press, Xian, 1995), p. 143-149.

Chris Doran, Anthony Lasenby, Stephen Gull, Shyamal Somaroo and Anthony Challinor.
Spacetime Algebra and Electron Physics
In P. W. Hawkes, editor, Advances in Imaging and Electron Physics, Vol. 95, p. 271-386 (Academic Press).

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 and Engineering. (Birkhäuser Boston, 1996).

J. Lasenby.
Geometric algebra: applications in engineering
In W. E. Baylis, editor, Clifford (Geometric) Algebras with Applications to Physics, Mathematics and Engineering. (Birkhäuser Boston, 1996).

A. D. Challinor, A. N. Lasenby, S. F. Gull and C. J. L. Doran.
A relativistic, causal account of spin measurement
Phys. Lett. A 218, 128-138 (1996).

S. S. Somaroo.
Applications of the Geometric Algebra to Relativistic Quantum Theory
Ph.D. thesis, University of Cambridge (1996).

S. F. Gull, A. N. Lasenby and C. J. L. Doran
Geometric algebra, spacetime physics and gravitation.
In O. Lahav, E. Terlevich and R. J. Terlevich, editors, Gravitational Dynamics, (Cambridge University Press, 1996), pp. 171-180.

C. J. L. Doran, A. N. Lasenby and S. F. Gull.
The physics of rotating cylindrical strings
Phys. Rev. D 54(10), 6021-6031 (1996).

A. N. Lasenby, C. J. L. Doran and S. F. Gull.
Gravity, gauge theories and geometric algebra
Phil. Trans. R. Soc. Lond. A356, 487-582 (1998).

J. Lasenby, W. J. Fitzgerald, C. J. L. Doran and A. N. Lasenby.
New Geometric Methods for Computer Vision
Int. J. Comp. Vision 36(3), p. 191-213 (1998).

A. D. Challinor, A. N. Lasenby, S. S. Somaroo, C. J. L. Doran and S. F. Gull.
Tunnelling times of electrons
Phys. Lett. A, 227, 143-152 (1997).

A. N. Lasenby, C. J. L. Doran, Y. Dabrowski and A. D. Challinor.
Rotating astrophysical systems and a gauge theory approach to gravity
In N. Sanchez and A. Zichini, editors, Current Topics in Astrofundamental Physics, Erice 1996. (World Scientific Publishing Co., 1997)p. 380-403.

J. Lasenby, E. Bayro-Corrochano, A.N. Lasenby and G. Sommer.
Geometric Algebra: a Framework for Computing Invariants in Computer Vision
Proceedings of the International Conference on Pattern Recognition (ICPR '96), Vienna.

E. Bayro-Corrochano, J. Lasenby and G. Sommer.
Geometric Algebra: a framework for computing point and line correspondences and projective structure using n uncalibrated cameras
Proceedings of the International Conference on Pattern Recognition (ICPR '96), Vienna.

J. Lasenby, E. Bayro-Corrochano, A. Lasenby and G. Sommer.
A new framework for the computation of invariants and multiple view constraints in computer vision
Proceedings of the International Conference on Image Processing (ICIP), 1996, (1997).

C. J. L. Doran
Integral equations and Kerr-Schild fields I. Spherically-symmetric fields
Preprint (1998)

C. J. L. Doran, A. N. Lasenby and S. F. Gull
Integral equations and Kerr-Schild fields II. The Kerr solution
Preprint (1998)

M. A. J. Ashdown, S. S. Somaroo, S. F. Gull, C. J. L. Doran and A. N. Lasenby
Multilinear Representations of Rotation Groups within Geometric Algebra
J. Math. Phys. 39(3), 1566-1588 (1998).

C.J.L Doran, A.N. Lasenby, A.D. Challinor and S.F. Gull
Effects of spin-torsion in gauge theory gravity
J. Math. Phys. 39(6), 3303--3321 (1998).

A.D. Challinor, A.N. Lasenby, C.J.L. Doran and S.F. Gull
Massive, non-ghost solutions for the Dirac field coupled self-consistently to gravity
General Rel. Grav. 29, 1527 (1997).

A. D. Challinor and A. N. Lasenby
A covariant and gauge-invariant analysis of cosmic microwave background anisotropies from scalar perturbations.
Phys.Rev. D 58 (1998)

S.S. Somaroo, A.N. Lasenby and C.J.L. Doran
Geometric algebra and the causal approach to multiparticle quantum mechanics
J. Math. Phys. 40(7), 3327-3340 (1999).

A.N. Lasenby, C.J.L. Doran, M.P. Hobson, Y.Dabrowski and A.D. Challinor
Microwave Background Anisotropies and Nonlinear Structures I. Improved Theoretical Models.
Mon. Not. R. Astron. Soc. 302, 748--756 (1999).

Y.Dabrowski, M.P. Hobson, A.N. Lasenby and C.J.L. Doran.
Microwave Background Anisotropies and Nonlinear Structures II. Numerical computations.
Mon. Not. R. Astron. Soc. 302, 757--770 (1999).

Jeff Tomasi
Cylindrically symmetric systems in gauge theory gravity
Masters Thesis

Carl Dolby
A state-space based approach to quantum field theory in classical background fields
Thesis

A. Lewis, C. Doran and A.N. Lasenby.
Quadratic Lagrangians and topology in gauge theory gravity
General Rel. Grav. 32(1), 161 (2000)

A. Lewis, A.N. Lasenby and C.J.L. Doran.
Electron scattering in the spacetime algebra
R. Ablamowicz and B. Fauser eds., 5th International Conference on Applications of Clifford Algebra, Ixtapa, Mexico 1999, 49-71 (2000)

A. Lewis, C.J.L. Doran and A.N. Lasenby.
Electron scattering without spin sums.
Int. J. Theor. Phys. 40(1) (2001)

C.J.L. Doran
A new form of the Kerr solution
Phys. Rev. D 61(6), 067503 (2000)

C.J.L. Doran
Bayesian inference and geometric algebra: an application to camera localization
In: E. Bayro and G. Sobczyk eds. Geometric algebra: a geometric approach to computer vision, neural and quantum computing, robotics and engineering. Birkhauser, 172 (2000)

J. Lasenby and A. Stevenson
Using geometric algebra in optical motion capture
In: E. Bayro and G. Sobczyk eds. Geometric algebra: a geometric approach to computer vision, neural and quantum computing, robotics and engineering. Birkhauser 2000.

A.N. Lasenby and J Lasenby
Applications of Geometric Algebra in Physics and Links with Engineering
In: E. Bayro and G. Sobczyk eds. Geometric algebra: a geometric approach to computer vision, neural and quantum computing, robotics and engineering. Birkhauser 2000.

J. Lasenby, A.N. Lasenby and C.J.L. Doran
A unified mathematical language for physics and engineering in the 21st century
Phil. Trans. R. Soc. Lond. A 358, 21-39 (2000)

T.F. Havel and C.J.L. Doran
Geometric algebra in quantum information processing
In S. Lomonaco, ed. Quantum Computation and Quantum Information Science. AMS Contemporary Math series (2000). quant-ph/0004031

C.E. Dolby and S.F. Gull
New approach to quantum field theory for arbitrary observers in electromagnetic backgrounds
To appear in Annals of Physics, hep-th/0103228

C.E. Dolby and S.F. Gull
On radar time and the twin `paradox'
To appear in American Journal of Physics, gr-qc/0104077

C.J.L. Doran and A.N. Lasenby
Perturbation Theory Calculation of the Black Hole Elastic Scattering Cross Section
Submitted to Phys. Rev. D, gr-qc/0106039

R.F. Parker and C.J.L. Doran
Analysis of 1 and 2 Particle Quantum Systems using Geometric Algebra
To appear in C. Doran, L. Dorst and J. Lasenby eds. Applied Geometrical Alegbras in computer Science and Engineering, AGACSE 2001, Birkhauser 2001. quant-ph/0106055

T.F. Havel and C.J.L. Doran
Interaction and Entanglement in the Multiparticle Spacetime Algebra
To appear in C. Doran, L. Dorst and J. Lasenby eds. Applied Geometrical Alegbras in computer Science and Engineering, AGACSE 2001, Birkhauser 2001. quant-ph/0106063

R.C.D. Baker and C.J.L. Doran
Jet Bundles and the Formal Theory of Partial Differential Equations
To appear in C. Doran, L. Dorst and J. Lasenby eds. Applied Geometrical Alegbras in computer Science and Engineering, AGACSE 2001, Birkhauser 2001. math.AP/0106090

Anthony Lasenby and Joan Lasenby
Surface Evolution and Representation using Geometric Algebra
In Roberto Cipolla and Ralph Martin eds. The Mathematics of Surfaces IX: Proceedings of the ninth IMA conference on the mathematics of surfaces, p144-168, Springer, London 2001.

Chris Doran, Anthony Lasenby and Joan Lasenby
Conformal Geometry, Euclidean Space and Geometric Algebra
In J. Winkler ed Uncertainty in Geometric Computations, Kluwer 2002

Anthony Lasenby and Chris Doran
Geometric Algebra, Dirac Wavefunctions and Black Holes
In P.G. Bergmann and V. de Sabbata eds, Advances in the Interplay Between Quantum and Gravity Physics, Kluwer 2002, 251-283

Anthony Lasenby, Chris Doran, Jonathan Pritchard and Alejandro Caceres
Bound States and Decay Times of Fermions in a Schwarzschild Black Hole Background
gr-qc/0209090

Anthony Lasenby
Conformal Geometry and the Universe
To appear in Phil.Trans.R.Soc.Lond.A

Last Modified 12 January 1999
Maintained by Chris Doran.