# Wave mechanics and general relativity: a rapprochement

@article{Wesson2006WaveMA, title={Wave mechanics and general relativity: a rapprochement}, author={Paul S. Wesson}, journal={General Relativity and Gravitation}, year={2006}, volume={38}, pages={937-944} }

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.

## 10 Citations

### Waves, particles, and field dynamics

- Physics, Mathematics
- 2006

The idea of associating particle trajectories with wave propagation rays is examined in the context of general relativity. The additional assumption that also Hamilton-Jacobi particle equation and…

### Noncompactified Kaluza–Klein Gravity

- MathematicsUniverse
- 2022

We present a brief description of noncompactified higher-dimensional theories from the perspective of general relativity. More concretely, the Space–Time–Matter theory, or Induced Matter theory, and…

### Paul Wesson and Space-Time-Matter Theory

- Physics, Geology
- 2018

A short scientific biography is given of physicist Paul Wesson (1949-2015), who published over 300 works encompassing the fields of astrobiology, astrophysics, geophysics, cosmology, and relativity;…

### Particle-antiparticle duality from an extra timelike dimension

- Mathematics, PhysicsThe European Physical Journal C
- 2019

It is a well known fact that the usual complex structure on the real Clifford Algebra (CA) of Minkowski spacetime can be obtained by adding an extra time-like dimension, instead of the usual…

### Semiclassical corrections to the Einstein equation and Induced Matter Theory

- Physics, Mathematics
- 2007

The induced Einstein equation on a perturbed brane in the Induced Matter Theory is re-analyzed. We indicate that in a conformally flat background, the local quantum corrections to the Einstein…

### Kaluza-Klein Type Model for the Structure of the Neutral Particle-like Solutions

- Physics
- 2010

The paper examines the geometrical properties of a six-dimensional Kaluza-Klein type model. They may have an impact on the model of the structure of a neutron and its excited states in the realm of…

### Creation of fundamental particles in Wesson’s IMT

- Physics
- 2008

Fundamental particles, regarded as possible constituents of quarks and leptons, are described classically in the framework of the Weyl-Dirac version of Wesson’s Induced Matter Theory (IMT). There are…

### Fundamental Fields as Eigenvectors of the Metric Tensor in a 16-Dimensional Space-Time

- PhysicsJournal of Applied Mathematics and Physics
- 2019

An alternative approach to the usual Kaluza-Klein way to field unification is presented which seems conceptually more satisfactory and elegant. The main idea is that of associating each fundamental…

### Creation of Neutral Fundamental Particles in the Weyl–Dirac Version of Wesson’s IMT

- Physics
- 2007

Abstract
Spherically symmetric entities filled with matter and induced by the 5D bulk may be built in the empty 4D space-time. The substance of the entity, the latter regarded as a fundamental…

### Simple five-dimensional wave equation for a Dirac particle

- Physics
- 2006

A first-order relativistic wave equation is constructed in five dimensions. Its solutions are eight-component spinors, interpreted as single-particle fermion wave functions in four-dimensional…

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