Non-Local Astrophysics: Dark Matter, Dark Energy and Physical Vacuum highlights the most significant features of non-local theory, a highly effective tool for solving many physical problems in areas where classical local theory runs into difficulties. The book provides the fundamental science behind new non-local astrophysics, discussing non-local kinetic and generalized hydrodynamic equations, non-local parameters in several physical systems, dark matter, dark energy, black holes and gravitational waves.
1. Introduction: Review of the Main Principles of the Unified Nonlocal Theory of Transport Processes - p. xi 2. Chapter 1: Nonlocal Kinetic Equations - p. xxi 3. Abstract - p. 1 4. 1.1 Hierarchy of Bogolubov Kinetic Equations - p. 1 5. 1.2 Derivation of the Generalized Boltzmann Equation - p. 6 6. 1.3 Generalized Boltzmann H-Theorem and the Problem of Irreversibility of Time - p. 29 7. Chapter 2: The Theory of Generalized Hydrodynamic Equations - p. 39 8. Abstract - p. 41 9. 2.1 Transport of Molecular Characteristics - p. 41 10. 2.2 Hydrodynamic Enskog Equations - p. 44 11. 2.3 Transformations of the Generalized Boltzmann Equation - p. 45 12. 2.4 Generalized Continuity Equation - p. 48 13. 2.5 Generalized Momentum Equation for Component - p. 50 14. 2.6 Generalized Energy Equation for Component - p. 54 15. 2.7 Generalized Hydrodynamic Euler Equations - p. 59 16. 2.8 Equations of the Generalized Hydrodynamic Theory in Curvilinear Coordinates - p. 71 17. Chapter 3: Nonlocal Parameters in the Different Physical Systems - p. 96 18. Abstract - p. 97 19. 3.1 Some General Remarks Concerning Nonlocal Parameters - p. 97 20. 3.2 Nonlocal Parameter in Plasma Physics - p. 98 21. 3.3 The Nonlocal Parameters in Hydrodynamic Equations Written for Self-Consistent Electric Fields. Quantization in Generalized Quantum Hydrodynamics - p. 110 22. 3.4 Nonlocal Parameters in the Investigations of the Plasmoid Structures - p. 116 23. 3.5 Nonlocal Parameters in Plasma-Gravitational Analogy - p. 121 24. 3.6 Nonlocal Parameters in the Theory of Liquids - p. 124 25. Chapter 4: The Dark Matter Problem - p. 139 26. Chapter 5: The Birth of the Universe and Dark Energy - p. 176 27. Abstract - p. 177 28. 5.1 Evidences of the Dark Energy Existence From Position of Local Physics - p. 177 29. 5.2 Transport Equations in the Nonlocal Theory of Physical Vacuum - p. 186 30. 5.3 Plasma-Gravitational Analogy in the Generalized Theory of Landau Damping - p. 191 31. 5.4 Nonlinear Theory of Hubble Expansion. Hubble Boxes - p. 208 32. 5.5 Big Bang as a Burst in the Primary Physical Vacuum, Traveling Waves in the Primary Physical Vacuum - p. 214 33. 5.6 The Burst of PV Volume as an Analog of the Hubble Motion. Travelling Waves in PV and the Theory of the PV-Engine - p. 248 34. Chapter 6: Quantization, Soliton and Traveling Waves Formation - p. 262 35. Abstract - p. 263 36. 6.1 Application of the Nonlocal Hydrodynamic Equations in Acoustics. Infrasound as a Possible Cause Meteorological Dependence of Men - p. 263 37. 6.2 Quantum Solitons Modeling - p. 269 38. 6.3 Stratification of Dispersed Particles in a Gravitational Field - p. 298 39. Chapter 7: Nonlocal Theory of Variable Stars - p. 319 40. Abstract - p. 321 41. 7.1 Basic Nonlocal Equations in the Theory of Variable Stars - p. 321 42. 7.2 Travelling Waves in Variable Stars - p. 330 43. 7.3 Results of Mathematical Modeling - p. 334 44. 7.4 Self-Similar Solutions of the Nonlocal Equations - p. 342 45. 7.5 About Nonlocal Effects in the Sun Activity - p. 368 46. Chapter 8: Application of the Nonlocal Physics in the Theory of the Matter Movement in Black Channels - p. 377 47. Chapter 9: Analogue of the Hall Effect in the Relativistic Nonlocal Theory of Massless Particles - p. 393 48. Abstract - p. 395 49. 9.1 About the Massless Particles Description in Nonlocal Physics - p. 395 50. 9.2 A General System of Nonlocal Hydrodynamic Equations of Relativistic Gas - p. 397 51. 9.3 Solution of SYSTEM 3 for Photon Gas in the Self-Consistent Force Fields - p. 413 52. 9.4 Conclusion - p. 418 53. Final General Remarks - p. 418 54. Appendix A: The Basic Equations of Hydrodynamics in the Presence of Mass Forces and Magnetic Fields - p. 419 55. Appendix B: Calculation of Atom Structure With the Separated Positive and Negative Charged Components - p. 434 56. Index - p. 449
Non-Local Astrophysics: Dark Matter, Dark Energy and Physical Vacuum highlights the most significant features of non-local theory, a highly effective tool for solving many physical problems in areas where classical local theory runs into difficulties. The book provides the fundamental science behind new non-local astrophysics, discussing non-local kinetic and generalized hydrodynamic equations, non-local parameters in several physical systems, dark matter, dark energy, black holes and gravitational waves.
1. Introduction: Review of the Main Principles of the Unified Nonlocal Theory of Transport Processes - p. xi 2. Chapter 1: Nonlocal Kinetic Equations - p. xxi 3. Abstract - p. 1 4. 1.1 Hierarchy of Bogolubov Kinetic Equations - p. 1 5. 1.2 Derivation of the Generalized Boltzmann Equation - p. 6 6. 1.3 Generalized Boltzmann H-Theorem and the Problem of Irreversibility of Time - p. 29 7. Chapter 2: The Theory of Generalized Hydrodynamic Equations - p. 39 8. Abstract - p. 41 9. 2.1 Transport of Molecular Characteristics - p. 41 10. 2.2 Hydrodynamic Enskog Equations - p. 44 11. 2.3 Transformations of the Generalized Boltzmann Equation - p. 45 12. 2.4 Generalized Continuity Equation - p. 48 13. 2.5 Generalized Momentum Equation for Component - p. 50 14. 2.6 Generalized Energy Equation for Component - p. 54 15. 2.7 Generalized Hydrodynamic Euler Equations - p. 59 16. 2.8 Equations of the Generalized Hydrodynamic Theory in Curvilinear Coordinates - p. 71 17. Chapter 3: Nonlocal Parameters in the Different Physical Systems - p. 96 18. Abstract - p. 97 19. 3.1 Some General Remarks Concerning Nonlocal Parameters - p. 97 20. 3.2 Nonlocal Parameter in Plasma Physics - p. 98 21. 3.3 The Nonlocal Parameters in Hydrodynamic Equations Written for Self-Consistent Electric Fields. Quantization in Generalized Quantum Hydrodynamics - p. 110 22. 3.4 Nonlocal Parameters in the Investigations of the Plasmoid Structures - p. 116 23. 3.5 Nonlocal Parameters in Plasma-Gravitational Analogy - p. 121 24. 3.6 Nonlocal Parameters in the Theory of Liquids - p. 124 25. Chapter 4: The Dark Matter Problem - p. 139 26. Chapter 5: The Birth of the Universe and Dark Energy - p. 176 27. Abstract - p. 177 28. 5.1 Evidences of the Dark Energy Existence From Position of Local Physics - p. 177 29. 5.2 Transport Equations in the Nonlocal Theory of Physical Vacuum - p. 186 30. 5.3 Plasma-Gravitational Analogy in the Generalized Theory of Landau Damping - p. 191 31. 5.4 Nonlinear Theory of Hubble Expansion. Hubble Boxes - p. 208 32. 5.5 Big Bang as a Burst in the Primary Physical Vacuum, Traveling Waves in the Primary Physical Vacuum - p. 214 33. 5.6 The Burst of PV Volume as an Analog of the Hubble Motion. Travelling Waves in PV and the Theory of the PV-Engine - p. 248 34. Chapter 6: Quantization, Soliton and Traveling Waves Formation - p. 262 35. Abstract - p. 263 36. 6.1 Application of the Nonlocal Hydrodynamic Equations in Acoustics. Infrasound as a Possible Cause Meteorological Dependence of Men - p. 263 37. 6.2 Quantum Solitons Modeling - p. 269 38. 6.3 Stratification of Dispersed Particles in a Gravitational Field - p. 298 39. Chapter 7: Nonlocal Theory of Variable Stars - p. 319 40. Abstract - p. 321 41. 7.1 Basic Nonlocal Equations in the Theory of Variable Stars - p. 321 42. 7.2 Travelling Waves in Variable Stars - p. 330 43. 7.3 Results of Mathematical Modeling - p. 334 44. 7.4 Self-Similar Solutions of the Nonlocal Equations - p. 342 45. 7.5 About Nonlocal Effects in the Sun Activity - p. 368 46. Chapter 8: Application of the Nonlocal Physics in the Theory of the Matter Movement in Black Channels - p. 377 47. Chapter 9: Analogue of the Hall Effect in the Relativistic Nonlocal Theory of Massless Particles - p. 393 48. Abstract - p. 395 49. 9.1 About the Massless Particles Description in Nonlocal Physics - p. 395 50. 9.2 A General System of Nonlocal Hydrodynamic Equations of Relativistic Gas - p. 397 51. 9.3 Solution of SYSTEM 3 for Photon Gas in the Self-Consistent Force Fields - p. 413 52. 9.4 Conclusion - p. 418 53. Final General Remarks - p. 418 54. Appendix A: The Basic Equations of Hydrodynamics in the Presence of Mass Forces and Magnetic Fields - p. 419 55. Appendix B: Calculation of Atom Structure With the Separated Positive and Negative Charged Components - p. 434 56. Index - p. 449
