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.
Author(s): Daniele Funaro
Publisher: World Scientific Publishing Company
Year: 2008
Language: English
Pages: 204
Tags: Физика;Электродинамика / Электричество и магнетизм;
Contents......Page 13
Preface......Page 9
1.1 Maxwell equations and wave-fronts......Page 15
1.2 Wave-front propagation......Page 22
1.3 Fronts from an oscillating dipole......Page 25
1.4 Preliminary conclusions......Page 35
2.1 Modified Maxwell equations......Page 37
2.2 Perfect spherical waves......Page 40
2.3 Travelling signal-packets......Page 44
2.4 Lagrangian formulation......Page 50
2.5 Free-waves and the eikonal equation......Page 55
2.6 Lorentz invariance......Page 60
3.1 Wave bouncing o an obstacle......Page 67
3.2 Diffraction phenomena......Page 73
3.3 Adding the mechanical terms......Page 78
3.4 Properties of the new set of equations......Page 82
4.1 Preliminary considerations......Page 91
4.2 The energy tensor......Page 98
4.3 Unified field equations......Page 105
4.4 The divergence of the magnetic field......Page 119
5.1 Adding the pressure tensor......Page 125
5.2 On the existence of particle-like solutions......Page 133
5.3 Looking for 2-D constrained waves......Page 143
5.4 Neutrinos, electrons and protons......Page 160
5.5 Connections with a Dirac type equation......Page 175
6.1 Towards deterministic quantum mechanics......Page 183
6.2 Conclusions......Page 195
Bibliography......Page 199
Index......Page 203
