Wave-particle duality and the zitterbewegung

• URL: http://arxiv.org/abs/2107.09469v1
• Date: Mon, 19 Jul 2021 17:17:26 GMT
• Title: Wave-particle duality and the zitterbewegung
• Authors: Paul O'Hara
• Abstract summary: We 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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