From: Wim Vegt <J.W.Vegt@pth.nl>
Newsgroups: sci.physics.plasma
Subject: AEONs
Organization: Pedagogisch Technische Hogeschool Nederland (PTH)


A THEORY ABOUT AEONs (Auto confined ElectrOmagnetic eNtites).

Wheeler published in 1955 in Physical Review, Vol. 97.2, an article about GEONs
(Gravitational ElectrOmagnetic eNtities), which describes the confinement of
electromagnetic radiation by its own gravitational field. In june 1995 an article has been
published in Physics Essays, titled: "A continuous model of matter based on AEONs",
which describes the auto confinement of light by its own gravitational field or a coherent
electromagnetic field. An interesting aspect is that it turns out that AEONs obey the
quantum mechanical Schrodinger wave equation as well as the relativistic Dirac equation
like elementary particles do. In this publication it is supposed that "elementary particles"
like protons and electrons do not exist, but that matter is built of compressed light
(electromagnetic radiation). This compression is caused by the auto confinement of
electromagnetic radiation. Due to this auto confinement, the frequency of the
electromagnetic radiation increases to the values of the rest frequency of the probability
functions of elementary particles.

For further information contact by E-mail: J.W.Vegt@pth.nl


Below the first few pages of this publication are included



A CONTINUOUS MODEL OF MATTER BASED ON AEONS
J. W. VEGT


FONTYS UNIVERSITY-PTH Department of Micro System Techhnology
Het Eeuwsel 2
Postbus 826 5600 AV Eindhoven The Netherlands



ABSTRACT. This article sets out to demonstrate that electromagnetic radiation with an
energy density in the order of magnitude of 1073 [J/m3] satisfies the condition of stability
for gravitational self-confinement, while its corresponding electromagnetic vector wave
function satisfies the classic Schrdinger wave equation. The complex electromagnetic
vector wave function is denoted in this article by and exhibits a correspondence
with the scalar quantum-mechanical complex probability function , that cannot
be explained by chance. The electromagnetic model also admits other forms of self-
confinement of electromagnetic radiation, including electro-magneto-static self-confine
ment at considerably lower energy densities, in which circumstances the descriptive
complex electromagnetic wave function also satisfies the Schrdinger wave equation.

RSUM. Il est montr dans cet article qu'un rayonnement lectromagntique densit
nergtique d'un ordre de grandeur de 1073 [J/m3] satisfait la condition de stabilit pour
l'autoconfinement gravitationnel et que, par consquent, la fonction d'onde vectorielle
lectromagntique correspondante satisfait la classique quation d'onde de Schrdinger.
Dsigne dans cet article, la fonction vectorielle d'onde lectromagntique
complexe prsente une concordance qui ne peut tre considre comme fortuite avec la
fonction de probabilit complexe de la mcanique quantique scalaire, . Le
modle lectromagntique autorise galement d'autres formes d'autoconfinement du
rayonnement lectromagntique, notamment l'autoconfinement lectro-magntostatique
avec des densits nergtiques beaucoup plus faibles, en quel cas la fonction d'onde
lectromagntique complexe descriptive satisfait galement la fonction d'onde de Schrdin
ger.

1. Introduction

The most important developments in particle physics are based on a fundamental
discontinuity in the composition of matter, that is implied by each underlying particle
model. This article describes an electromagnetically continuous model of matter that does
not use the concept of elementary particles, but only of gravitationally or electro-magneto-
statically self-confined electromagnetic radiation in a perfect vacuum. The model should
be regarded as a component of a concept for what may prove to be an alternative
approach in elementary particle physics. An attempt is made to accommodate on physical
grounds an intuitive awareness that the natural world is essentially a continuum. For the
purposes of this model light, or rather electromagnetic radiation in the more general sense
of the term, is regarded as the building material of matter, and of leptons in particular.

2. A relativistic model based on electromagnetic self-confinement

The model assumes electromagnetic radiation in a perfect vacuum. Rather than
working with the electric field intensity and the magnetic induction directly, it is
usually more convenient to work in terms of the potentials. The scalar potential and the
vector potential are defined by




If the 4-potential [Ref. (15)] is defined by:



then the electromagnetic field tensor or the Maxwell tensor [Ref. (15)] is defined by



in which a,b assume the values 0,1,2,3 respectively where ict is the 0-component.
Introducing the current density or source 4-vector by



the Maxwell equations in relativistic units (c = 1 and G = 1 is used in the equations 6, 7
and 8) can be written in the form





The Maxwell energy-momentum tensor Tab [Ref. (24)] is





in source-free regions. In Euclidian space the metric tensor equals:


which means in general relativity the absence of a space-time curvature caused by mass.
The equivalence of mass and energy in special relativity assumes all forms of energy will
act as sources for the gravitational field, which is expressed by (10). The Einstein tensor
is supposed to be proportional to the Maxwell energy-momentum tensor
[Ref. (24)]


in which is a constant of proportionality, called the coupling constant and equal to



in which "G" is the gravitational constant. Substituting (8) in (10) results in the Einstein-
Maxwell equations



Up to here the theory is classical and well known. An introduction of a new concept
in electromagnetism is done by the introduction of the complex vector wave function
denoted by and the conjugated complex vector wave function ,
where:



In this equation, is the permittivity and c the speed of light, which equals . The
complex vector functions are chosen such that the scalar product of both vector functions
is equal to the relativistic electromagnetic mass density distribution (which
equals times the electromagnetic energy density) in the electromagnetic wave:


The transport of electromagnetic energy is determined by the Poynting vector
, which equals the cross product of both vector functions multiplied by ic3:


In the absence of gravity the equations (14) and (15) equal the equations (3A) and (4A) in
the appendix.

This document represents the first few pages of a publication in Physics Essays in june
1995, titled: "A Continuous model of matter based on AEONs". For further informati
on, contact by E-mail:

J. W. Vegt@pth.nl