TITLE:
Particle-Wave Duality Resulting from the Granulation of Fields in a Hypercubic Lattice
AUTHORS:
Christiaan T. de Groot
KEYWORDS:
Discrete Space, Granular Fields, Hypercubic Lattice, Motion in a Lattice, Particle-Wave Duality, Relativistic Effects
JOURNAL NAME:
Journal of Modern Physics,
Vol.12 No.7,
May
21,
2021
ABSTRACT: The possibility of granulated discrete fields is considered in which there are at least three distinct base granules. Because of the limited size of the granules, the motion of an endlessly extended particle field must to be split into an inner and an outer part. The inner part moves gradually in a point particle-like fashion, the outer is moving step-wise in a wave-like manner. This dual behaviour is reminiscent of the particle-wave duality. Field granulation can be caused by deviations of the structure of the lattice at the boundaries of the granule, causing some axes of the granule to be tilted. The granules exhibit relativistic effects, inter alia, caused by the universality of the coordination number of the lattice.