Electromagnetism And The Structure Of Matter

by Daniele Funaro

Overview

The classical theory of electromagnetism is entirely revised in this book by proposing a variant of Maxwell equations that allows solitonic solutions (photons). The Lagrangian is the standard one, but it is minimized on a constrained space that enforces the wave packets to follow the rules of geometrical optics. Exact solutions are explicitly shown; this opens a completely new perspective for the study of light wave phenomena. In the framework of general relativity, the equations are written in covariant form. A coupling with the metric is obtained through the Einstein equation, whose solutions are computed exactly in a lot of original situations. Finally, the explicit construction of elementary particles, consisting of rotating photons, is indicated. The results agree qualitatively and quantitatively with what it is actually observed. This opens the path to an understanding of the structure of matter and its properties, also aimed to provide a causal explanation to quantum phenomena.

Product Details

ISBN-13:	9789812814517
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	06/19/2008
Pages:	200
Product dimensions:	6.20(w) x 8.90(h) x 0.80(d)

Table of Contents

Preface     vii
Something is wrong with classical electromagnetism     1
Maxwell equations and wave-fronts     1
Wave-front propagation     8
Fronts from an oscillating dipole     11
Preliminary conclusions     21
First steps towards the new model     23
Modified Maxwell equations     23
Perfect spherical waves     26
Travelling signal-packets     30
Lagrangian formulation     36
Free-waves and the eikonal equation     41
Lorentz invariance     46
Interaction of waves with matter     53
Wave bouncing off an obstacle     53
Diffraction phenomena     59
Adding the mechanical terms     64
Properties of the new set of equations     68
The equations in the framework of general relativity     77
Preliminary considerations     77
The energy tensor     84
Unified field equations     91
The divergence of the magnetic field     105
Building matter from fields     111
Adding the pressure tensor     111
On the existence of particle-like solutions     119
Looking for 2-D constrainedwaves     129
Neutrinos, electrons and protons     146
Connections with a Dirac type equation     161
Final speculative considerations     169
Towards deterministic quantum mechanics     169
Conclusions     181
Bibliography     185
Index     189