Contents
Contents
Chapter 1 Introduction
1.1. Geodesic motion of particles
1.2. Physical observable values
1.3. Dynamic equations of motion of free particles
1.4. Introducing concept of nongeodesic motion of particles. Problem statement
Chapter 2 Tensor algebra and the analysis
2.1. Tensors and tensor algebra
2.2. Scalar product of vectors
2.3. Vector product of two vectors. Antisymmetric tensors and pseudotensors
2.4. Introducing absolute differential and derivative to the direction
2.5. Divergence and rotor
2.6. Laplace and d’Alembert operators
2.7. Conclusions
Chapter 3 Charged particle in pseudo-Riemannian space
3.1. Problem statement
3.2. Observable components of electromagnetic field tensor. Field invariants
3.3. Chronometrically invariant Maxwell equations. Law of conservation of electric charge. Lorentz condition
3.4. Four-dimensional d’Alembert equations for electromagnetic potential and their observable components
3.5. Chronometrically invariant Lorentz force. Energy-impulse tensor of electromagnetic field
3.6. Equations of motion of charged particle obtained using parallel transfer method
3.7. Equations of motion, obtained using the least action principle as a partial case of the previous equations
3.8. Geometric structure of electromagnetic four-dimensional potential
3.9. Building Minkowski equations as a partial case of the obtained equations of motion
3.10. Structure of the space with stationary electromagnetic field
3.11. Motion of charged particle in stationary electric field
3.12. Motion of charged particle in stationary magnetic field
3.13. Motion of charged particle in stationary electromagnetic field
3.14. Conclusions
Chapter 4 Particle with spin in pseudo-Riemannian space
4.1. Problem statement
4.2. Spin-impulse of a particle in the equations of motion
4.3. Equations of motion of spin-particle
4.4. Physical conditions of spin-interaction
4.5. Motion of elementary spin-particles
4.6. Spin-particle in electromagnetic field
4.7. Motion in stationary magnetic field
4.8. Law of quantization of masses of elementary particles
4.9. Compton wave length
4.10. Massless spin-particle
4.11. Conclusions
Chapter 5 Physical vacuum and the mirror Universe
5.1. Introduction
5.2. Observable density of vacuum. T-classification of matter
5.3. Physical properties of vacuum. Cosmology
5.4. Concept of Inversional Explosion of the Universe
5.5. Non-Newtonian gravitational forces
5.6. Gravitational collapse
5.7. Inflational collapse
5.8. Concept of the mirror Universe. Conditions of transition through membrane from our world into the mirror Universe
5.9. Conclusions
Chapter 6 Annihilation and the mirror Universe
6.1. Isotope anomaly and lambda-T anomaly of orthopositronium. Problem statement
6.2. Zero-space as home space for virtual particles. Geometric interpretation of Feynmann diagrams
6.3. Building mathematical concept of annihilation. Parapositronium and orthopositronium
6.4. Annihilation of orthopositronium: 2+1 split of 3-photon annihilation
6.5. Isotope anomaly of orthopositronium
6.6. Conclusions
Appendix A Notation
Appendix B Special expressions
Bibliography
