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Volume 13: Number 2: Article 3
Variations on the Foundations of Dirac's Quantum Physics
James D. Edmonds, Jr., Department of Physics, McNeese State University,
Lake Charles, LA 70609
The Dirac algebra is examined as a hypercomplex number system, where
there are six basic, anti-automorphic conjugations. However, we can
concentrate on only half of this algebra and there find all the old
physics that Dirac found. We do not even need to introduce matrices
at all (which is a surprise to the field theory community). The Dirac
algebra can be readily generalized using quaternions to expand the system,
and Dirac's old equation is also generalized by introducing a new, multi-mass
part. Mass may actually be very complicated at the quark level, where
we never directly see the particles' tracks.
Keywords: Dirac's equation, Lorentz's group, Pauli's algebra, spin,
wave equations
FULL TEXT:
Variations on the Foundations of Dirac's Quantum Physics
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