| Subject: RE: About study...
Date: Sun, 2 Mar 2003 22:55:39 -0600
Dear Alexander,
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.
Tom Bearden
|