Subject: Fwd: Paper 116, The ECE Continuity Equation
Date: Wed, 30 Jul 2008 09:46:17 EDT
Yes, as in the ECE equation (generally covariant Proca equation):
(d’alembertian + kT) A sup a sup mu = 0
and in the limit of Minkowski spacetime:
kT = (m c / h bar) squared
where
m = photon mass c = speed of light h bar = reduced Planck consatnt
What is “T” in eq. (2)? Is it the scalar energy momentum density?
Horst
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I will write up paper 116 on the ECE continuity equation (the generally covariant law of charge / current density conservation in classical electrodynamics. The next note will derive this law in classical electrodynamics as:
Â
                        D sub nu j a sub mu = 0     ——————————– (1)
Â
where
Â
                       j sup a sub mu = - eps0 k T A sup a sub mu ——— (2)
Â
and where:
Â
                                  A sup a sub mu = A(0 ) q sup a sub mu   ——— (3)
Â
is the fundamental ECE postulate. Eq. (1) is therefore based directly on the tetrad postulate, which is always true in physics, and it is seen that the charge / current density in ECE is in general a tetrad form within a coefficient of proportionality, a mixed index rank two tensor. The proportionality (2) generalizes the method used in the standard physics of deriving the Proca equation for finite photon mass by making the chareg current density propotional to the four potential. This fixes the Lorenz gauge equation from the continuity equation in the standard physics if photon mass is not zero. The Proca equation, however, is not gauge invariant as is well known, and the gauge principle in ECE physics is replaced by the invariance of the tetrad postulate under the general coordinate transform (papers 70 to 72 of www.aias.us). In ECE physics the gauge principle is not needed by Ockham’s Razor. Â
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