Archive for December, 2010

The Role of the Gravitomagnetic Field Strength (h) in Counter Gravitation

Feed: Dr. Myron Evans
Posted on: Thursday, December 30, 2010 5:03 AM
Author: metric345
Subject: The Role of the Gravitomagnetic Field Strength (h) in Counter Gravitation

The curl h term might be important in counter gravitation, the general equation for the mass current density being:

curl h – partial d / partial t = J sub M

so in general:

g dot (curl h – partial d / partial t) = g dot J sub M

and

E dot J = g dot J sub M

These are completely new ideas so must be tested carefully by the engineers at each stage, e..g Northrop Grumman, Lockheed Martin, BAE, European Space Agency, various NASA laboratories, etc. All have been following www.aias.us and ECE sites for years. Even a very small counter gravitational effect in a spacecraft would have a cumulative effect. I advocate working into the circuit design a conventional resonance device, so the change of g may be amplified by resonance.

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Geometrical Origin of D, P, H and M

Feed: Dr. Myron Evans
Posted on: Saturday, December 04, 2010 6:15 AM
Author: metric345
Subject: Geometrical Origin of D, P, H and M

This will be developed and discussed in the next note, which I will label 167(1). This note follows on from 165(9) and 165(10). The origin is found in the fact that the correctly antisymmetric connection has a Hodge dual, which is defined using the metric. So D, P, H, and M can be expressed in terms of a potential and spin connection. Finally conditions for resonance can be looked for while maintaining antisymmetry. If the error is perpetuated of arbitrary asserting a symmetric connection, then it can have no Hodge dual. The latter is defined only for an antisymmetric tensor. We have, in S.I. units:

E = (D – P) / eps0 ; B = mu0 (H + M)

so we can take the combinations D – P and H + M to be defined by geometry. Here D is displacement, P is polarization, H is magnetic field strength, M is magnetization, E is electric field strength and B is magnetic flux density. eps0 amd mu0 are the vacuum permittivity and permeability. There is plenty of scope here for spin connection resonance while maintaining antisymmetry.

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New Resonance Solutions

Feed: Dr. Myron Evans
Posted on: Friday, December 03, 2010 11:54 PM
Author: metric345
Subject: New Resonance Solutions

I will look in to new resonance structures in UFT 167, using the inhomogeneous field equations rather than the homogeneous ones. These are, for each a:

del D = rho; curl H – partial D / partial t = J

The displacement D and magnetic field strength H are related to E and B by

D = eps0 E + P ; B = mu0 (H + M)

and the E and B fields are related to the potentials A and rho with the spin connection included. There are therefore many possibilities for resonance. Choose an antisymmetry condition that allows resonance. Here J is electric current density, P is polarization, M is magnetization, eps0 and mu0 are the vacuum permittivity and permeability respectively. The inhomogeneous equations are obtained from the attached geometry, page two, second column. In the inhomogeneous approach there is no problem with the driving force, it is derived form the charge current density. Magnetic charge current density is perennially controversial. Finally the interaction of gravitation and electromagnetism is best approached through the quadratic term in the kinetic energy due to the minimal prescription applied to p. This was done in recent papers.

a165thpapernotes9.pdf

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Antisymmetry of Connection

Feed: Dr. Myron Evans
Posted on: Friday, December 03, 2010 11:14 PM
Author: metric345
Subject: Antisymmetry of Connection

To Dr Douglas Lindstrom:

The precise interpretation is that the commutator of covariant derivatives acting on any tensor produces the torsion and curvature tensors in any space of any dimension. The connection is not a tensor because it does not transform as a tensor under the general coordinate transformation, but is always antisymmetric in its lower two indices (mu and nu). The curvature tensor is always antisymmetric in mu and nu, the commutator is always antisymmetric in mu and nu. This means that of mu and nu are switched to nu and mu, the tensor changes sign. If mu is the same as nu the tensor is zero (all elements of it are zero). In general a non zero tensor may contain non-zero and zero elements. This is true in Riemann geometry itself and there exists a Riemannian torsion which is always non-zero., i.e. it is a non-zero tensor in general. Cartan’s geometry reduces to Riemann’s geometry, and in Cartan’s geometry the torsion is a vector valued two-form. A two-form is antisymmetric in mu and nu. The Cartan curvature is a tensor valued two-form. There can be other geometries too, but ECE uses Cartan’s elegant geometry because it is simple and profound. There seems to be no need for another geometry in natural philosophy. In the 166 ECE papers to date there are many proofs of all details of Cartan geometry, many of them check themselves. At first, tensor analysis and form analysis is difficult, looking like a blizzard of subscripts and superscripts, but I developed a basic notation which reveals its basic simplicity. This is

T = D ^ q; R = D ^ omega;
D ^ T := R ^ q

as given by Cartan, and my own identity (proven precisely in UFT 137):

D ^ T tilde := R tilde ^ q

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