TITLE:
On the Origin of Electric Charge
AUTHORS:
Johannes Antonie Josephus van Leunen
KEYWORDS:
Quantum Physics, Mathematical Model, Electric Charge, Electric Field, Embedding Field, Photon, Wave Equation, Quaternionic Hilbert Space, Quaternionic Differential Calculus, Symmetry Flavor
JOURNAL NAME:
Open Access Library Journal,
Vol.2 No.10,
October
22,
2015
ABSTRACT:
By starting from a quaternionic separable Hilbert space as a base model,
the paper uses the capabilities and the restrictions of this model in order to
investigate the origins of the electric charge and the electric fields. Also,
other discrete properties such as color charge and spin are considered. The
paper exploits all known aspects of the quaternionic number system and it uses
quaternionic differential calculus rather than Maxwell based differential
calculus. The paper presents fields as mostly continuous quaternionic
functions. The electric field is compared with another basic field that acts as
a background embedding continuum. The behavior of photons is used in order to investigate
the long range behavior of these fields. The paper produces an algorithm that
calculates the electric charge of elementary particles from the symmetry
properties of their local parameter spaces. The paper also shows that the usual
interpretation of a photon as an electric wave is not correct.