Waveparticle duality and the zitterbewegung
Abstract
In previous work, the HamiltonJacobi 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 waveparticle duality in quantum mechanics. This theory is now further developed to show that a free spinless quantum particle moving with velocity v obeys the standard wave equation of electromagnetism. We also discuss the implications for the zitterbewegung problem and its relationship to isotropy. Moreover, it is also shown that for the theory to be consistent, the momentum defined by the Hamilton.!acobi function presupposes the existence of a universal parameter internal to the system. In the case of particles with mass this invariant can be defined by dX = dt/m(t) where t has the units of time and m = m(t) has the units of mass.
 Publication:

Journal of Physics Conference Series
 Pub Date:
 July 2021
 DOI:
 10.1088/17426596/1956/1/012015
 arXiv:
 arXiv:2107.09469
 Bibcode:
 2021JPhCS1956a2015O
 Keywords:

 Quantum Physics;
 General Relativity and Quantum Cosmology
 EPrint:
 24 pages