Consequences of a Two-Time Relativistic Bohmian Model

Abstract

Effects of a Bohmian type quantum-relativistic theory are explored. The model is obtained by introducing a new and independent time parameter whose relative motions are not directly observable and cause the quantum uncertainties of the physical observables. Unlike the usual de Broglie-Bohm theories, the Quantum Potential does not affect directly the observable motion but determines the one that is relative to the new time variable. It turns out that the Zitterbewegung of a free particle, of which a more general law is obtained, is the key example of these hidden motions and, through it, it seems possible to give physical reality to the Feynman's paths. A relativistic revision of the uncertainty principle also derives from the theory.

11 pag, 2 figs

References in corpus (6)

• Observing Zitterbewegung in Ultracold Atoms
• Extremal transmission and beating effect of acoustic wave in two-dimensional sonic crystal
• The Standard Model of Particles and Forces in the Framework of 2T-physics
• On Galilean and Lorentz invariance in pilot-wave dynamics
• The "Unromantic Pictures" of Quantum Theory
• Revisiting Zitterbewegung