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Reformulation of the Dirac equation in terms of the real Spacetime Algebra (STA) reveals hidden geometric structure, including a geometric role for the unit imaginary as generator of rotations in a spacelike plane.
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GTG can be regarded as a modernized version of ECKS or U 4 U_{4} spin-torsion theory. F. Heyl, P. von der Heyde, D. Kerlick, & J. Nester, “General relativity with spin and torsion: Foundations and Prospects,” Rev. Mod. Phys. 48
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D. Hestenes, “Spacetime physics with Geometric Algebra,” Am. J. Phys. 71
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A. Lasenby & C. Doran, “Conformal models of de Sitter space, initial conditions for inflation and the CMB,” To appear in proceeding ‘Phi in the Sky,’
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D. Hestenes, “Gauge Theory Gravity with Geometric Calculus,” Foundations of Physics
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GA websites: < < modelingnts.la.asu.edu > > , < < www.mrao.cam.ac.uk > >
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C. Doran & A. Lasenby, “Integral Equations, Kerr-Schild fields and gravitational sources,” (arXiv:gr-qc/0404081)
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S. Dolan, C. Doran & A. Lasenby, “Fermion Scattering by a Schwarzschild black hole,” (Submitted to Physical Review)
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A. Lasenby, “Conformal Geometry and the Universe,” To appear in Phil. Trans. R. Soc. Lond. A
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A. Lewis, “Electroweak theory,” http://cosmologist.info/notes/
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K. Rosquist, “Gravitationally induced electromagnetism at the Compton scale,” (arXiv:gr-qc/0412064 v2)
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