This paper derives the equivalence principle from the antisymmetry law of ECE theory, another triumph of ECE theory.
Archive for December, 2009
This is paper 140 on the derivation of basic concepts of flow dynamics form ECE theory
These are collected family lines on 12th Dec. 2009.
This is the latest version of my family history, compiled with the help of Dewi Lewis, Stuart Davies, Arthur Turner Thomas and Leonid Morgan.
These are notes on the viscous fluid equation of motion.
This is given in Eq. (8) and is also a general constraint on the potential field in ECE theory. This constraint is tested with the circularly polarized tetrad and found to hold self consistently.
These further details lead to new general constraints on the electromagnetic potential. eq. (7), and gravitational potential, eq. (8).
A spin connection exists because of the existence of the complex circular basis. One does not have to have a tangent spacetime superimposed on a Riemannian manifold, as was Cartan’s original idea. In three dimensions, the existence of (1), (2), (3) superimposed on X, Y, Z, is enough to produce a spin connection, torsion and curvature, either in Cartan or Riemann. Donald Reed (Advances in Chemical Physics, volume 119(3)) refers to Harry Moses as having discovered the (1), (2), (3) basis, but it is mentioned in Brian Silver’s well known book:
B. L. Silver, “Irreducible Tensorial Methods” (Academic, 1976)
I discovered the (1), (2), (3) basis independently in the nineties, notably in Physica B 1992 and following papers. It is well known that Cartan is internally consistent. The two proofs of the structure equations in note 140(11) should be studied carefully.
This note shows how the fundamental complex circular development of the general vector field is sufficient to define torsion and curvature.
This is lesson three, showing from the simple eq. (3) that the connection is antisymmetric. This should be tried out on O level pupils by progressive teachers. The standard model of gravitation omits consideration of eq. (3), leading to the sequential errors discussed in this lesson and in paper 139. This lesson will be typeset eventually and the typeset version posted. ECE is preferred experimentally in its ability to describe the dynamics of whirlpool galaxies. The pupils should be made aware that the Einstein equation fails completely when it comes to whirlpool galaxies.