379(1): Counter Gravitation and the Faraday Cage Gyroscope Experiment

This is the first note of the three hundred and seventy ninth paper of ECE and ECE2 theories (Einstein Cartan Evans unified field theory). These papers and books have been prepared since March 2003. This note derives field potential relations (17) and (18) for the electric field strength E and the acceleration due to gravity g. The ECE wave equations for electromagnetism (Eq. (24)) and gravitation (Eq. (41)) are used to define the electromagnetic and gravitational scalar potentials in terms of the scalar curvature R of the ECE wave equations in in Eqs. (34) and (54) respectively. The electromagnetic and gravitational Euler Bernoulli equations are derived from the respective ECE wave equations, and are given by Eqs. (39) and (45) respectively. At the well known Euler Bernoulli resonance the electromagnetic and gravitational scalar potentials can become infinite. This is the key point for counter gravitational apparatus design. Since all forms of energy are interconvertible, an oscillating electromagnetic driving force can be used to produce an infinite gravitational potential. Engineering the correct sign of the potential gives counter gravitation from rigorous principles of ECE and ECE2 theory. The electromagnetic and gravitational Lorenz conditions are used in a new guise in Eqs. (29) and (51) respectively. This allows new insight to gauge theory and the Aharonov Bohm effects. So gauge theory becomes consistent with Cartan geometry. Modern physics is to a large extent based on gauge theory. The ECE2 antisymmetry laws are used together with the particular solutions (13) to (16). The structure of the theory is rigorously self consistent from 2003 to present. There are three hundred and seventy nine variations on a theme of Cartan geometry, the two Maurer Cartan structure equations and various identities of geometry. Three new identities have been discovered since 2003: the Evans identity for Hodge dual forms (an example of the Cartan identity); the Evans torsion identity (UFT109) and the Jacobi Cartan Evans identity of UFT313. In UFT354, Doug Lindstrom, Horst Eckardt and I show that tosion completely changes the now obsolete metric compatibility theory used by Einstein. These advances are known by the appellation “post Einsteinian paradigm shift”, a phrase coined by the eminent physics editor Prof. Emeritus Alwyn van der Merwe of Denver University, Colorado, U. S. A.


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