CONTENTS -- Preface -- Introduction -- Chapter 1. Interaction of Electromagnetic Radiation with One Fermion -- 1.1. Lorentz Electron -- 1.2. Radiation Induced Electron and Proton Spin Rosonance -- 1.3. The B(3) Field -- 1.4. Electrodynamics as a NonAbelian Gauge Field Theory -- 1.5. Limitations of the U(l) Theory -- 1.6. Classical Relativistic NonAbelian Electrodynamics -- 1.7. Relativistic Quantum Description -- 1.8. Nonrelativistic Quantum Description -- 1.9. Schrodinger Equation with Intrinsic Spin -- 1.10. Resonance Conditions in RFR -- 1.11. Chemical Shifts in NMR -- 1.12. Classical Derivation of the Inverse Faraday Effect -- References -- Chapter 2. The Field Equations of Classical O(3)b Electrodynamics -- 2.1. Introduction -- 2.2. The O(3)b Field Equations -- 2.3. Basic S. I. Units -- 2.4. The O(3)b Vacuum Equations -- 2.4.1. The Coefficient g in the Vacuum -- 2.4.2. The O(3)* Field Tensor in the Vacuum -- 2.5. Reduction to Maxwell's Equations -- 2.6. The Fundamental Laws of O(3)b Electrodynamics -- 2.7. The Lorentz Force Equation in O(3)b Electrodynamics -- 2.8. Continuity Equation and Lorentz Condition in O(3)b Electrodynamics -- 2.9. Primitive Concepts Axioms and Constitutive Relations of O(3)b Electrodynamics -- 2.10. The Inverse Faraday Effect -- 2.11. The effective A(3) Potential Photoelectric and Compton Effects and Radiation Reaction -- 2.12. Summary -- References -- Chapter 3. Origin of Electrodynamics in the General Theory of Gauge Fields -- 3.1. Closed Loop in Minkowski Spacetime -- 3.2. Gauge Transformations -- 3.2.1. Gauge Transformation in the O(3)b Group -- 3.3. The Sagnac Effect -- 3.4. Observation of B(3) in the Topological Phase -- 3.5. The NonAbelian Stokes Theorem and the Electromagnetic Phase.

3.6. Link between B Cyclic Theorem and the NonAbelian Stokes Theorem -- References -- Chapter 4. Nonlinear Propagation in O(3)b Electrodynamics: Solitons and Instantons -- 4.1. Limitation in the U(l) Theory -- 4.2. Identification of the Harmuth and O(3)b Field Equations -- 4.3. Structure of the O(3)b and Harmuth-Barrett Field Equations -- 4.4. Link between the O(3)b Equations and the Sine-Gordon Equations -- 4.5. Instantons -- 4.6. Higher Order Soliton Equations -- References -- Chapter 5. Physical Phase Effects in O(3)b Electrodynamics -- 5.1. Phase Effects -- 5.1.1. The Optical Ahronov-Bohm Effects -- 5.1.2. Phase Shift of the Inverse Faraday Effect -- 5.2. Phase Shift of the Optical Josephson Effect -- 5.3. Phase Factor of the Optical Hall Effect -- References -- Chapter 6. Quantum Electrodynamics and the B(3) Field -- 6.1. Introduction to Quantum Electrodynamics -- 6.2. A Brief Introduction to Differential Forms -- 6.3. The Physical Basis for NonAbelian Electrodynamics -- 6.4. The Quantized U(l) and O(3)b Electromagnetic Field -- 6.4.1. Numerical Results -- 6.4.2. Discussion of these Results -- 6.5. Quantum Electrodynamics of Elementary Scattering -- 6.6. Physics of Quantum Electrodynamics of Electrons and Photons with the B(3) Field -- 6.7. Nonrelativistic Estimate of the B(3) Contribution to the Lamb Shift -- 6.8. Derivation of the 1/f Spectrum from NonAbelian Electrodynamics -- 6.9. Analogy from Classical Field to NonAbelian Quantum Electrodynamics -- References -- Chapter 7. Quantum Chaos Topological Indices and Gauge Theories -- 7.1. Introduction -- 7.2. Topological Number and Quantum Vortices -- 7.3. Density Operator Methods -- 7.4. Hamiltonian Chaotic Systems -- 7.5. Quantum Geometry and Bohm's Theory -- 7.6. Discussion and Problems -- References.

Chapter 8. Field Theory of O(3)b QED and Unification with Weak and Nuclear Interactions -- 8.1. Discussion -- 8.2. Basics of Relativistic O(3)b QED -- 8.3. Renormalization of O(3)b QED -- 8.4. B(3) Field as a Vacuum Symmetry -- 8.5.1. SU(2) x SU(2) Electroweak Theory with One Higgs Field -- 8.5.2. The SU(2) x SU(2) Extended Standard Model -- 8.5.3. Duality and Chiral Breaking -- 8.5.4. Discussion of the Theory its Problems and their Remedies -- 8.6.1. Chiral and Vector Field in SU(2) x SU(2) Electroweak Field -- 8.6.2. Axial-Vector SU(2) x SU(2) Fields: A First Look -- 8.6.3. Chiral and Vector Gauge Theories from Chiral Gauge Theories on the Physical Vacuum -- 8.6.4. The Occurrence of O(3)b Electrodynamics on the Physical Vacuum -- 8.6.5. Duality in Grand Unified Field Theory and Recent LEP1 Data -- References -- Chapter 9. Potential Application of O(3)b QED -- 9.1. Computation Biophysics and B(3) Induced Entangled States -- 9.2. B(3) Field and the Sequencing of DNA -- Chapter 10. Duality and Fundamental Problems -- 10.1. Foundations for SU(2) Electromagnetism -- 10.2. Rotations between Spacetime Conjugate Variables and Their Fluctuations in Quantum Gravity -- 10.3. Duality: Questions Numerical Probes and Quantum Uncertainty -- 10.4. Gravitation with One Killing Isometry -- 10.5. Brief Discussion on String Theory -- 10.5.1. Map between the String Surfaces and the Spacial 2-Surface -- 10.6. Overview of Conformal Groups -- 10.7. Conformal Structure of the Vacuum -- 10.8. Conformal Group and Gauge Theories According to Weighted Projective Spaces -- 10.9. Conformal Theory of W String Vortices -- 10.10. Concluding Statements on Duality -- References -- Appendix 1 - Applications of Stokes' Theorem -- Appendix 2 - Bianchi IX Cosmologies -- References -- Index.