Abstract
This chapter presents the final lecture in the series on paravectors and eigenspinors in physics. Its purpose is to establish that the Pauli algebra Cl 3 and eigenspinors expressed in it provide an efficient description of curved spacetime. Much of the work applying the Pauli algebra to general relativity is due to Dr. George Jones.1
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Bibliography
W. E. Baylis and G. Jones, “The Pauli-Algebra Approach to Special Relativity”, J. Phys. A 22, 1–16 (1989).
W. E. Baylis J. Huschilt, and Jiansu Wei, “Why i?”, Am. J. Phys. 60, 788–797 (1992).
G. Jones and W. E. Baylis, “Crumeyrolle-Chevalley-Riesz Spinors and Co-variance”, in Clifford Algebras and Spinors, edited by P. Lounesto and R. Ablamowicz, Kluwer Academic (1994).
On the Dirac Equation:
W. E. Baylis, “Classical Eigenspinors and the Dirac Equation”, Phys. Rev. A45, 4293–4302 (1992).
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© 1996 Birkhäuser Boston
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Baylis, W.E. (1996). Eigenspinors in Curved Spacetime. In: Baylis, W.E. (eds) Clifford (Geometric) Algebras. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4104-1_20
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DOI: https://doi.org/10.1007/978-1-4612-4104-1_20
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-8654-7
Online ISBN: 978-1-4612-4104-1
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