|Subject: RE: About study...
Date: Sun, 2 Mar 2003 22:55:39 -0600
There is no such textbook yet, although Dr. Myron Evans is working on one at present. It should be a textbook similar to Jackson's Classical Electrodynamics, but in O(3) electrodynamics which is actually a unified field theory engineerable by special electrodynamic means.
A great deal of the advanced O(3) electrodynamics is available in the following references:
1. M. W. Evans et al., "The New Maxwell Electrodynamic Equations: New Tools for New Technologies," Journal of New Energy, 4(3), Special Issue of AIAS papers, Winter 1999. 60 papers by the Alpha Foundation's Institute for Advanced Study, advancing electrodynamics to a non-Abelian, gauge theoretic higher topology theory in (O)3 internal symmetry.
2. — "Classical electrodynamics without the Lorentz condition: Extracting energy from the vacuum," Physica Scripta 61(5), May 2000, p. 513-517. It is shown that if the Lorentz condition is discarded, the Maxwell-Heaviside field equations become the Lehnert equations, indicating the presence of charge density and current density in the vacuum. The Lehnert equations are a subset of the O(3) Yang-Mills field equations. Charge and current density in the vacuum are defined straightforwardly in terms of the vector potential and scalar potential, and are conceptually similar to Maxwell's displacement current, which also occurs in the classical vacuum. A demonstration is made of the existence of a time dependent classical vacuum polarization which appears if the Lorentz condition is discarded. Vacuum charge and current appear phenomenologically in the Lehnert equations but fundamentally in the O(3) Yang-Mills theory of classical electrodynamics. The latter also allows for the possibility of the existence of vacuum topological magnetic charge density and topological magnetic current density. Both O(3) and Lehnert equations are superior to the Maxwell-Heaviside equations in being able to describe phenomena not amenable to the latter. In theory, devices can be made to extract the energy associated with vacuum charge and current.
3. — "Derivation of the B(3) Field and Concomitant Vacuum Energy Density from the Sachs Theory of Electrodynamics," Foundations of Physics Letters, 14(6), Dec. 2001, p. 589-593.
4. — "Development of the Sachs Theory of Electrodynamics," Foundations of Physics Letters, 14(6), Dec. 2001, p. 595-600.
5. — "Anti-Gravity Effects in the Sachs Theory of Electrodynamics," Foundations of Physics Letters, 14(6), Dec. 2001, p. 601-605.
6. — "The Aharonov-Bohm Effect as the Basis of Electromagnetic Energy Inherent in the Vacuum," Foundations of Physics Letters, 15(6), Dec. 2002, p. 561-568.
7. — "Operator Derivation of the Gauge Invariant Proca and Lehnert Equations: Elimination of the Lorentz Condition," Foundations of Physics, 30(7), July 2000, p. 1123-1129.
8. — "O(3) Electrodynamics from the Irreducible Representations of the Einstein Group," Foundations of Physics Letters, 15(2), Apr. 2002, p. 179-187.
9. — "Runaway Solutions of the Lehnert Equations: The Possibility of Extracting Energy from the Vacuum," Optik, 111(9), 2000, p. 407-409.
10. M. W. Evans, T. E. Bearden, and A. Labounsky, "The Most General Form of the Vector Potential in Electrodynamics," Foundations of Physics Letters, 15(3), June 2002, p. 245-261. Abstract: The most general form of the vector potential is deduced in curved spacetime using general relativity. It is shown that the longitudinal and timelike components of the vector potential exist in general and are richly structured. Electromagnetic energy from the vacuum is given by the quaternion valued canonical energy-momentum. It is argued that a dipole intercepts such energy and uses it for the generation of electromotive force. Whittaker's U(1) decomposition of the scalar potential applied to the potential between the poles of a dipole, shows that the dipole continuously receives electromagnetic energy from the complex plane and emits it in real space. The known broken 3-symmetry of the dipole results in a relaxation from 3-flow symmetry to 4-flow symmetry. Considered with its clustering virtual charges of opposite sign, an isolated charge becomes a set of composite dipoles, each having a potential between its poles that, in U(1) electrodynamics, is composed of the Whittaker structure and dynamics. Thus the source charge continuously emits energy in all directions in 3-space while obeying 4-space energy conservation. This resolves the long vexing problem of the association of the “source” charge and its fields and potentials. In initiating 4-flow symmetry while breaking 3-flow symmetry, the charge, as a set of dipoles, initiates a reordering of a fraction of the surrounding vacuum energy, with the reordering spreading in all directions at the speed of light and involving canonical determinism between time currents and spacial energy currents. This constitutes a giant, spreading negentropy which continues as long as the dipole (or charge) is intact. Some implications of this previously unsuspected giant negentropy are pointed out for the Poynting energy flow theory, and as to how electrical circuits and loads are powered.
11. M. W. Evans et al., "On the Representation of the Maxwell-Heaviside Equations in Terms of the Barut Field Four-Vector," Optik 111(6), 2000, p. 246-248.
12. — "Operator Derivation of the Gauge Invariant Proca and Lehnert Equations: Elimination of the Lorentz Condition," Foundations of Physics, 30(7), July 2000, p. 1123-1129. Abstract: Using covariant derivatives and the operator definitions of quantum mechanics, gauge invariant Proca and Lehnert equations are derived and the Lorenz condition is eliminated in U(1) invariant electrodynamics. It is shown that the structure of the gauge invariant Lehnert equation is the same in an O(3) invariant theory of electrodynamics
13. — "O(3) Electrodynamics from the Irreducible Representations of the Einstein Group," Foundations of Physics Letters, 15(2), Apr. 2002, p. 179-187.
14. — Equations of the Yang-Mills Theory of Classical Electrodynamics," Optik, 111(2), 2000, p. 53-56.
15. Mendel Sachs, "Symmetry in Electrodynamics: From Special to General Relativity, Macro to Quantum Domains," in Modern Nonlinear Optics, Second Edn., Myron W. Evans, Ed., Wylie, 2001, Vol. 1, p. 677-706.
16. M. W. Evans and S. Jeffers, "The Present Status of the Quantum Theory of Light," in Modern Nonlinear Optics, Second Edn., Myron W. Evans, Ed., Wylie, 2001, Vol. 2, p. 1-196.
17. M. W. Evans, "O(3) Electrodynamics," Vol. V of The Enigmatic Photon, Kluwer, Dordrecht, 1999.
18. Modern Nonlinear Optics, Second Edn., Myron W. Evans, Ed., 2001, 3 vols. Volume 119 of series Advances in Chemical Physics, Wiley, New York, series Eds. I. Prigogine and Stuart A. Rice (ongoing).
For a proper theoretical background, it helps if one is familiar with the theory of groups, with non-Abelian electrodynamics theory, a little particle physics, some general relativity theory, quantum electrodynamics, quantum field theory, and gauge field theory. Quaternion algebra is also an advantage. Any background acquired in those subject areas puts the person in much better shape.
Hope that helps.