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.
- Brings together twenty years of research in the field of geophysics and attacks the problem within the framework of the Cosserat continuum theory
- Heavily tested on tens of natural examples and numerical tests
- Includes 350 color figures and graphs
- Spans across many fields of theoretical physics and geology, such as plate tectonics, synchronization of chaotic systems, solitons and fractals, mathematical set theory, and quantum mechanics
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I COSSERAT CONTINUUM THEORY OF FAULTING 2. Cosserat Continuum 3. The Multiple-Slip Mechanism of Plastic Cosserat Deformation 4. Stress Along the Faults 5. Wedge Faulting: The L2 Kinematics 6. Parallel Fault and Parallel Wedge Interactions: The Gamma-Scheme 7. Båth's Law and the Cosserat Extension of the Reid Rebound Model
II INTRODUCTION TO THE OMEGA-THEORY 8. Omega-Sequences 9. Omega-Cells: "Seismic Oscillators 10. Omori's Law 11. Felzer-Brodsky's Law 12. Strain Waves and Conservation Laws 13. Phase Transitions 14. Gutenberg-Richter's Law 15. What Causes Earthquakes?
III SYSTEMS, PLATE TECTONICS, AND ORDER 16. Omega-Interactions 17. Critical Behavior: Large Earthquakes Can Be Predicted 18. Supercritical Behavior: Aftershock Sequences 19. The B-Spectral Theorem and the Synchronized Earth 20. Quantum Numbers of Earthquakes: Seismic Back Action and Reverse Causality 21. Seismic Induction and the Theory of Plate Tectonics 22. Earthquakes as Computation: Origin of Order
IV SEISMIC CHAOS SYNCHRONIZATIONS 23. T-Synchronizations: Predicting Future Seismic States of the Earth 24. M-Synchronizations: The B-Megasignal and Large Earthquakes 25. S-Synchronizations: The Reciprocity Theorem and the Failure Localization Law 26. Maximum Effectiveness of Predictions: - 1 Rule 27. Open Systems 28. Further Observations on S-Synchronizations
V STRAIN WAVES, PLATE TECTONICS, AND THE LOOP THEOREM 29. Description of Seismic States 30. Epicenter Prediction: Turbal's Principle 31. Structure of the Aftershock Sequences 32. Synchronizations and Fault Reactivations 33. Predictability of Volcanic Eruptions 34. Strain Waves at the Tectonic Plates Boundaries 35. Origin of Plate Tectonics: The Loop Theorem
Dr. Zalohar is a physicist and geologist working as an independent researcher, giving scientific and philosophical lectures at various institutions. He obtained his Ph.D. from the University of Ljubljana in 2008. Dr. Zalohar's main research fields are physics of faults and earthquakes, stratigraphy, and palaeontology. Among his most important achievements are a series of articles on the Cosserat mechanics of faulting for the Journal of Structural Geology and the development of the T-TECTO software for fault-slip data and earthquakes analysis, which is now recognized and used by structural geologists around the world. During numerous field trips observing tectonic structures in the Alps he and his colleagues made important paleontological discoveries, including identifying the oldest and only-known fossils of seahorses, pipehorses and pygmy pipehorses, new fossil sites with complete skeletons of Triassic reptilians, and fish and other biota from the Tethys ocean. His most important contribution to science is a discovery of a new physical theory of earthquakes that brings a redefinition and solution of the earthquake prediction problem.