Wave Mechanics and General Relativity: A Rapprochement

Abstract

Using exact solutions, we show that it is in principle possible to regard waves and particles as representations of the same underlying geometry, thereby resolving the problem of wave-particle duality.

References in corpus (2)

• Application of the Campbell-Magaard theorem to higher-dimensional physics
• The Equivalence Principle as a Symmetry

Cited by in corpus (7)

• Noncompactified Kaluza--Klein Gravity
• Creation of neutral fundamental particles in the Weyl-Dirac version of Wesson's IMT
• Geometric model of the structure of the neutron
• Semiclassical corrections to the Einstein equation and Induced Matter Theory
• A Simple Five-Dimensional Wave Equation for a Dirac Particle
• Creation of fundamental particles in Wesson's IMT
• Particle-antiparticle duality from an extra time-like dimension