Abstract
In a previous paper, a deterministic account of the dynamics underlying the quantum-mechanical wave amplitude equation (Schrodinger’s equation) was given. In the present paper, that topological analysis is extended to a deterministic interpretation of the commutation relations of quantum theory and Planck’s constant is redefined as a resonance coupling condition for linearly progressing and circularly orbiting particles. In the case of parametric excitation coupling of two linearly progressing particles, a temporal coupling condition is required, not Planck’s constant. It is demonstrated that, when described in four-parameter form, quantum-mechanical systems behave in a way identical to the hypercomplex systems called, by Hamilton, quaternions. The analysis provides a physical picture of quantum mechanics and quantum electrodynamics.
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