Advanced electromagnetism and vacuum physics
1. Introduction and survey -- 2. Wave meaning of the special relativity theory. 2.1. Critical review of the interpretation of special relativity. 2.2. Calculation of the rectilinear accelerated motion of a particle. 2.3. Analysis of the Lorentz-Poincaré transformation. 2.4. Wave meaning of the Lorentz-Poincaré transformation. 2.5. Length contraction and time dilation of a moving body. 2.6. Comparison between Elbaz and De Broglie approaches. 2.7. Different meanings of the Lorentz-Poincaré transformation. 2.8. The concept of simultaneity. 2.9. Definition of Eulerian and Lagrangian coordinates -- 3. Change of reference frame. 3.1. Change of reference frame without rotation. 3.2. Change of reference frame with rotation. 3.3. The relativistic invariants and the definition of velocities -- 4. Relativistic and classical mechanics. 4.1. Definition of absolute and relative quantities. 4.2. The addition law of velocities. 4.3. Newton's Third Law and the principle of energy conservation. 4.4. Principles of relativity and covariance in Galilean mechanics. 4.5. Principles of relativity and covariance in relativistic mechanics. 4.6. Definitions of potential and kinetic energy. 4.7. Review of angular momentum definition. 4.8. Experimental tests of partition of forces between internal and external forces -- 5. Experimental tests of special relativity. 5.1. Doppler and aberration effects. 5.2. The Sagnac and Michelson interferometer experiments. 5.3. The Fizeau effect. 5.4. Compton effect. 5.5. The Mössbauer effect. 5.6. The twin paradox. 5.7. The luminiferous ether, a necessity. 5.8. Are the relativistic effects second-order in U/c? -- 6. Partial differential equations of second order. 6.1. Definition of the wave equation. 6.2. Spectral analysis of the wave equation. 6.3. Conservation laws of the wave equation. 6.4. Method of separation of variables. 6.5. Review of the dissipation concept. 6.6. Review of the dispersion concept. 6.7. Hyperbolic equations of second-order and the soliton. 6.8. The Helmholtz theorem. 6.9. Analysis of rotational fields
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