## Electromagnetism and the Structure of Matter

### Daniele Funaro

#### World Scientific, Singapore, 2008

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TABLE OF CONTENTS

Preface
1. Something is wrong with classical electromagnetism

- 1.1 Maxwell equations and wave-fronts
- 1.2 Wave-front propagation
- 1.3 Fronts from an oscillating dipole
- 1.4 Preliminary conclusions

2. First steps toward the new model

- 2.1 Modified Maxwell equations
- 2.2 Perfect spherical waves
- 2.3 Travelling signal-packets
- 2.4 Lagrangian formulation
- 2.5 Free-waves and the eikonal equation
- 2.6 Lorentz invariance

3. Interaction of waves with matter

- 3.1 Wave bouncing off an obstacle
- 3.2 Diffraction phenomena
- 3.3 Adding the mechanical terms
- 3.4 Properties of the new set of equations

4. The equations in the framework of general relativity

- 4.1 Preliminary considerations
- 4.2 The energy tensor
- 4.3 Unified field equations
- 4.4 The divergence of the magnetic field

5. Building matter from fields

- 5.1 Adding the pressure tensor
- 5.2 On the existence of particle-like solutions
- 5.3 Looking for 2-D constrained waves
- 5.4 Neutrinos, electrons and protons
- 5.5 Connections with a Dirac type equation

6. Final speculative considerations

- 6.1 Toward deterministic quantum mechanics
- 6.2 Conclusions

Bibliography

Index