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References

1
D. Hestenes. Spin and uncertainty in the interpretation of quantum mechanics. Am. J. Phys., 47(5):399, 1979.

2
E.T. Jaynes. Scattering of light by free electrons. In A. Weingartshofer and D. Hestenes, editors, The Electron, page 1. Kluwer Academic, Dordrecht, 1991.

3
D. Hestenes. Clifford algebra and the interpretation of quantum mechanics. In J.S.R. Chisholm and A.K. Common, editors, Clifford Algebras and their Applications in Mathematical Physics, page 321. Reidel, Dordrecht, 1986.

4
D. Hestenes. New Foundations for Classical Mechanics. Reidel, Dordrecht, 1985.

5
D. Hestenes. A unified language for mathematics and physics. In J.S.R. Chisholm and A.K. Common, editors, Clifford Algebras and their Applications in Mathematical Physics, page 1. Reidel, Dordrecht, 1986.

6
D. Hestenes and G. Sobczyk. Clifford Algebra to Geometric Calculus. Reidel, Dordrecht, 1984.

7
D. Hestenes. Vectors, spinors, and complex numbers in classical and quantum physics. Am. J. Phys., 39:1013, 1971.

8
D. Hestenes. Observables, operators, and complex numbers in the Dirac theory. J. Math. Phys., 16(3):556, 1975.

9
D. Hestenes. The design of linear algebra and geometry. Acta Appl. Math., 23:65, 1991.

10
D. Hestenes and R. Gurtler. Local observables in quantum theory. Am. J. Phys., 39:1028, 1971.

11
D. Hestenes. Local observables in the Dirac theory. J. Math. Phys., 14(7):893, 1973.

12
D. Hestenes. Quantum mechanics from self-interaction. Found. Phys., 15(1):63, 1985.

13
D. Hestenes. The zitterbewegung interpretation of quantum mechanics. Found. Phys., 20(10):1213, 1990.

14
L. de Broglie. La Réinterprétation de la Mécanique Ondulatoire. Gauthier-Villars, 1971.

15
R.P. Feynman. The Character of Physical Law. British Broadcasting Corporation, 1965.

16
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, 1993.

17
D. Hestenes. Entropy and indistinguishability. Am. J. Phys., 38:840, 1970.

18
D. Hestenes. Inductive inference by neural networks. In G.J. Erickson and C.R. Smith, editors, Maximum Entropy and Bayesian Methods in Science and Engineering (vol 2), page 19. Reidel, Dordrecht, 1988.

19
D. Hestenes. Modelling games in the Newtonian world. Am. J. Phys., 60(8):732, 1992.

20
D. Hestenes. Space-Time Algebra. Gordon and Breach, 1966.

21
H. Grassmann. Die Ausdehnungslehre. Berlin, 1862.

22
H. Grassmann. Der ort der Hamilton'schen quaternionen in der ausdehnungslehre. Math. Ann., 12:375, 1877.

23
W. K. Clifford. Applications of Grassmann's extensive algebra. Am. J. Math., 1:350, 1878.

24
C.J.L. Doran, A.N. Lasenby, and S.F. Gull. States and operators in the spacetime algebra. Found. Phys., 23(9):1239, 1993.

25
H. Halberstam and R.E. Ingram. The Mathematical Papers of Sir William Rowan Hamilton vol III. Cambridge University Press, 1967.

26
I.W. Benn and R.W. Tucker. An Introduction to Spinors and Geometry. Adam Hilger, Bristol, 1988.

27
A.N. Lasenby, C.J.L. Doran, and S.F. Gull. A multivector derivative approach to Lagrangian field theory. Found. Phys., 23(10):1295, 1993.

28
J.A. Wheeler and R.P. Feynman. Classical electrodynamics in terms of direct interparticle action. Rev. Mod. Phys., 21(3):425, 1949.

29
J.A. Wheeler and R.P. Feynman. Interaction with the absorber as the mechanism of radiation. Rev. Mod. Phys., 17:157, 1945.

30
A.N. Lasenby, C.J.L. Doran, and S.F. Gull. Grassmann calculus, pseudoclassical mechanics and geometric algebra. J. Math. Phys., 34(8):3683, 1993.

31
C.J.L. Doran, A.N. Lasenby, and S.F. Gull. Grassmann mechanics, multivector derivatives and geometric algebra. In Z. Oziewicz, B. Jancewicz, and A. Borowiec, editors, Spinors, Twistors, Clifford Algebras and Quantum Deformations., page 215. Kluwer Academic, Dordrecht, 1993.

32
A.N. Lasenby, C.J.L. Doran, and S.F. Gull. 2-spinors, twistors and supersymmetry in the spacetime algebra. In Z. Oziewicz, B. Jancewicz, and A. Borowiec, editors, Spinors, Twistors, Clifford Algebras and Quantum Deformations., page 233. Kluwer Academic, Dordrecht, 1993.

33
C.W. Misner, K.S. Thorne, and J.A. Wheeler. Gravitation. W.H. Freeman and Company, San Francisco, 1973.



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