Hypercomplex number approach to Schwinger's quantum source theory
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The hypercomplex numbers associated with the Dirac-Clifford algebra, are applied to the spin−0, −1/2, and −1 structures for Schwinger's source theory of quantum electrodynamics. The generalizations to 5-vectors and 5-space relativity are introduced. The anticommuting numbers, associated with Fermi-Dirac statistics, are examined in some detail. The hyper-complex number formulation is suitable for curved space quantum computations.
KeywordsField Theory Elementary Particle Quantum Field Theory Quantum Computation Curve Space
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