by M W Evans (AIAS, Institute of Physics, Budapest, Hungary) & L B Crowell (AIAS, Institute of Physics, Budapest, Hungary)

It is well known that classical electrodynamics is riddled with internal inconsistencies springing from the fact that it is a linear, Abelian theory in which the potentials are unphysical. This volume offers a self-consistent hypothesis which removes some of these problems, as well as builds a framework on which linear and nonlinear optics are treated as a non-Abelian gauge field theory based on the emergence of the fundamental magnetizing field of radiation, the B(3) field.

• Interaction of Electromagnetic Radiation with One Fermion
• The Field Equations of Classical O(3)_b Electrodynamics
• Origin of Electrodynamics in the General Theory of Gauge Fields
• Nonlinear Propagation in O(3)_b Electrodynamics: Solitons and Instantons
• Physical Phase Effects in O⁽³⁾_b Electrodynamics
• Quantum Electrodynamics and the B⁽³⁾ Field
• Quantum Chaos, Topological Indices and Gauge Theories
• Field Theory of O(3)_b QED and Unification with Weak and Nuclear Interactions
• Potential Applications of O(3)_b QED
• Duality and Fundamental Problems