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arXiv · 2107.09469

Wave-particle duality and the zitterbewegung

Paul O'Hara
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Abstract

In previous work, the Hamilton-Jacobi equation has been associated with the metrics of general relativity and shown to be a generalized Dirac equation for quantum mechanics. This lends itself to a natural definition of wave-particle duality. This theory is now further developed to show that a free spinless quantum particle moving with velocity v obeys the standard wave equation of electro-magnetism. We also discuss the implications for the zitterbewegung problem and its relationship to isotropy. Moreover, it is shown that for the theory to be consistent, the momentum defined by the Hamilton-Jacobi function presupposes the existence of a universal parameter internal to the system defined by dt/m(t) for particles with mass, where t has the units of time and m = m(t) has the units of mass.

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Paul O'Hara. 2021-07-19. Wave-particle duality and the zitterbewegung. https://doi.org/10.1088/1742-6596/1956/1/012015

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