The Omega-Theory: A New Physics of Earthquakes, Second Edition offers a unifying, mathematical framework to describe and answer the most pressing and unexamined dilemmas of earthquake sequences. Those in the fields of seismology and geology are currently faced with a vast and complex mathematical structure, involving many new, natural laws and theorems. This book interprets this structure as a new physical theory and paradigm, helping users understand the tectonic and seismic processes within the Earth. As such, it is an essential resource for future researchers in the fields of structural geology, physics of the Earth, and seismology.
In the last decades, generations of seismologists, geophysicists, and geologists have accumulated enough knowledge and information to allow for the reformulation and solution of this essential problem. Hence, this book provides a great resource for researchers and professionals.
1. Chapter 1: Introduction - p. xi 2. I: Cosserat Continuum Theory of Faulting - p. 14 3. Chapter 2: Cosserat Continuum - p. 14 4. Chapter 3: The Multiple-Slip Mechanism of Plastic Cosserat Deformation - p. 32 5. Chapter 4: Stress Along the Faults - p. 37 6. Chapter 5: Wedge Faulting: The L2 Kinematics - p. 39 7. Chapter 6: Parallel Fault and Parallel Wedge Interactions: The Gamma-Scheme - p. 56 8. Chapter 7: Båth's Law and the Cosserat Extension of the Reid Rebound Model - p. 70 9. II: Introduction to the Omega-Theory - p. 78 10. Chapter 8: Omega-Sequences - p. 78 11. Chapter 9: Omega-Cells: “Seismic Oscillators” - p. 98 12. Chapter 10: Omori's Law - p. 121 13. Chapter 11: Felzer-Brodsky’s Law - p. 134 14. Chapter 12: Strain Waves and Conservation Laws - p. 140 15. Chapter 13: Phase Transitions - p. 157 16. Chapter 14: Gutenberg-Richter’s Law - p. 171 17. Chapter 15: What Causes Earthquakes? - p. 178 18. III: Systems, Plate Tectonics, and Order - p. 190 19. Chapter 16: Omega-Interactions - p. 190 20. Chapter 17: Critical Behavior: Large Earthquakes Can Be Predicted - p. 208 21. Chapter 18: Supercritical Behavior: Aftershock Sequences - p. 239 22. Chapter 19: The B-Spectral Theorem and the Synchronized Earth - p. 260 23. Chapter 20: Quantum Numbers of Earthquakes: Seismic Back Action and Reverse Causality - p. 271 24. Chapter 21: Seismic Induction and the Theory of Plate Tectonics - p. 290 25. Chapter 22: Earthquakes as Computation: Origin of Order - p. 304 26. IV: Seismic Chaos Synchronizations - p. 322 27. Introduction - p. 323 28. Chapter 23: T-Synchronizations: Predicting Future Seismic States of the Earth - p. 325 29. Chapter 24: M-Synchronizations: The B-Megasignal and Large Earthquakes - p. 343 30. Chapter 25: S-Synchronizations: The Reciprocity Theorem and the Failure Localization Law - p. 351 31. Chapter 26: Maximum Effectiveness of Predictions: − 1 Rule - p. 365 32. Chapter 27: Open Systems - p. 374 33. Chapter 28: Further Observations on S-Synchronizations - p. 380 34. V: Strain Waves, Plate Tectonics, and the Loop Theorem - p. 397 35. Chapter 29: Description of Seismic States - p. 397 36. Chapter 30: Epicenter Prediction: Turbal's Principle - p. 425 37. Chapter 31: Structure of the Aftershock Sequences - p. 465 38. Chapter 32: Synchronizations and Fault Reactivations - p. 483 39. Chapter 33: Predictability of Volcanic Eruptions - p. 502 40. Chapter 34: Strain Waves at the Tectonic Plates Boundaries - p. 513 41. Chapter 35: Origin of Plate Tectonics: The Loop Theorem - p. 521 42. Index - p. 551
The Omega-Theory: A New Physics of Earthquakes, Second Edition offers a unifying, mathematical framework to describe and answer the most pressing and unexamined dilemmas of earthquake sequences. Those in the fields of seismology and geology are currently faced with a vast and complex mathematical structure, involving many new, natural laws and theorems. This book interprets this structure as a new physical theory and paradigm, helping users understand the tectonic and seismic processes within the Earth. As such, it is an essential resource for future researchers in the fields of structural geology, physics of the Earth, and seismology.
In the last decades, generations of seismologists, geophysicists, and geologists have accumulated enough knowledge and information to allow for the reformulation and solution of this essential problem. Hence, this book provides a great resource for researchers and professionals.
1. Chapter 1: Introduction - p. xi 2. I: Cosserat Continuum Theory of Faulting - p. 14 3. Chapter 2: Cosserat Continuum - p. 14 4. Chapter 3: The Multiple-Slip Mechanism of Plastic Cosserat Deformation - p. 32 5. Chapter 4: Stress Along the Faults - p. 37 6. Chapter 5: Wedge Faulting: The L2 Kinematics - p. 39 7. Chapter 6: Parallel Fault and Parallel Wedge Interactions: The Gamma-Scheme - p. 56 8. Chapter 7: Båth's Law and the Cosserat Extension of the Reid Rebound Model - p. 70 9. II: Introduction to the Omega-Theory - p. 78 10. Chapter 8: Omega-Sequences - p. 78 11. Chapter 9: Omega-Cells: “Seismic Oscillators” - p. 98 12. Chapter 10: Omori's Law - p. 121 13. Chapter 11: Felzer-Brodsky’s Law - p. 134 14. Chapter 12: Strain Waves and Conservation Laws - p. 140 15. Chapter 13: Phase Transitions - p. 157 16. Chapter 14: Gutenberg-Richter’s Law - p. 171 17. Chapter 15: What Causes Earthquakes? - p. 178 18. III: Systems, Plate Tectonics, and Order - p. 190 19. Chapter 16: Omega-Interactions - p. 190 20. Chapter 17: Critical Behavior: Large Earthquakes Can Be Predicted - p. 208 21. Chapter 18: Supercritical Behavior: Aftershock Sequences - p. 239 22. Chapter 19: The B-Spectral Theorem and the Synchronized Earth - p. 260 23. Chapter 20: Quantum Numbers of Earthquakes: Seismic Back Action and Reverse Causality - p. 271 24. Chapter 21: Seismic Induction and the Theory of Plate Tectonics - p. 290 25. Chapter 22: Earthquakes as Computation: Origin of Order - p. 304 26. IV: Seismic Chaos Synchronizations - p. 322 27. Introduction - p. 323 28. Chapter 23: T-Synchronizations: Predicting Future Seismic States of the Earth - p. 325 29. Chapter 24: M-Synchronizations: The B-Megasignal and Large Earthquakes - p. 343 30. Chapter 25: S-Synchronizations: The Reciprocity Theorem and the Failure Localization Law - p. 351 31. Chapter 26: Maximum Effectiveness of Predictions: − 1 Rule - p. 365 32. Chapter 27: Open Systems - p. 374 33. Chapter 28: Further Observations on S-Synchronizations - p. 380 34. V: Strain Waves, Plate Tectonics, and the Loop Theorem - p. 397 35. Chapter 29: Description of Seismic States - p. 397 36. Chapter 30: Epicenter Prediction: Turbal's Principle - p. 425 37. Chapter 31: Structure of the Aftershock Sequences - p. 465 38. Chapter 32: Synchronizations and Fault Reactivations - p. 483 39. Chapter 33: Predictability of Volcanic Eruptions - p. 502 40. Chapter 34: Strain Waves at the Tectonic Plates Boundaries - p. 513 41. Chapter 35: Origin of Plate Tectonics: The Loop Theorem - p. 521 42. Index - p. 551
