TITLE:
The Unified Geometrical Theory of Fields and Particles
AUTHORS:
Amagh Nduka
KEYWORDS:
Wave-Particle Duality; Boson; Fermion; Euclidean; Pseudoeuclidean; Reducible; Irreducible; Discrete Geometry; 4-Operator; Invariant Operator
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.3,
February
7,
2014
ABSTRACT: Wave-particle duality is a
familiar concept in the theories of the fundamental processes. We have, for
example, electromagnetic waves with the photon as the corresponding particle,
gravitational waves with the graviton as the corresponding particle, and Dirac
waves with the electron as the corresponding particle. All these theories are
stand-alone theories having nothing in common. The outstanding problem is a
unified theory of particles and fields. In this paper, we discuss a unified geometrical theory of
fields and particles.