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Gravielectromagnetism - The Next Part Of The Investigation


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Following up on an interesting paper that was posted by a facebook friend, it is nice to see that the applications of gravity ultimately on a fundamental scale many postulations that I found when investigating gravity under geometric algebra - that is, that the torsion and ultimately centrifugal pseudo forces are not only seen as a correction term for quantum systems, but are inherently part of general relativity. It is in other words, inescapable to postulate a zero torsion in Einstein's equations - whereas modern physics has often neglected the term in probably the most consequential ways possible. It will always sum as a symmetric and antisymmetric part to the field equations.

 

In the following paper

 

https://arxiv.org/pdf/gr-qc/0412064.pdf

 

It is seen that gravity applies linearly to electromagnetism in such a way that it applies uniquely to a contribution of the spin of particles (and where there is spin, there is torsion and other classical effects). So this will be the next investigations, because while I need to proof read over and over again what I have planned, this will be a continuing side-project so that I don't become mad on one subject alone. The following work will need to be composed into one paper as well and then I will be using the cited paper to extend the postulations that have been discovered.

 

https://bivector.quora.com/

 

https://spinorbit.quora.com/Linear-Gravity

 

As the project continues, I will be using this thread for the updates of what I find. The spin domination for gravity is the only way both these two last links can be fully appreciated.

 

 

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Gravielectromagnetism and Drag Part 2

 

The gravimagnetic field defined for magnetic coupling to orbit is, as the master equation we will work from:

 

[math]\mathbf{B} = \frac{1}{mc^2 e} \frac{1}{r} \frac{\partial U}{\partial r} \mathbf{J} = \frac{1}{me}(\frac{\phi}{c^2})\frac{\partial v}{\partial t} \mathbf{J}= -\frac{1}{e}\frac{1}{Gm}\frac{\partial v}{\partial t} \mathbf{J}= -\frac{1}{me}\frac{a}{G} \mathbf{J} = -\frac{1}{me}\frac{\omega^2 r}{G} \mathbf{J} = -\frac{1}{m e} \frac{m}{r^2} \mathbf{J}[/math]

 

Dividing through by [math]G[/math] and using it in standard cgs units, we recover the main term [math]\frac{M}{r^2}[/math] describing gravielectromagnetism by Sciama:

 

[math]\frac{1}{G}\frac{P}{\rho_B} = \frac{1}{2G} (\frac{\rho}{\rho_B}) v^2\ f = g_{00}\ (\frac{\rho_A}{\rho_B}\ \frac{M}{2r^2})= \frac{a}{G} = \frac{1}{G}\Gamma_{00}[/math]

 

The master equation, is itself, a spin-coupling equation where we have written it in a line of equalities strongly related to gravielectromagnetism. So to get this ''spin-orbit coupling'' equation we simply use terms in the master equation derived a while back to obtain relevant terms - before we do this, we remind ourselves of the terms from the simpler equation derived:

 

[math]P = \frac{1}{2} \rho v^2\ f = 2 \pi \rho_A\ (\frac{ c}{ t_p}) = 2 \pi \rho_A \cdot \Gamma[/math]

 

We remind ourselves that [math]\frac{\rho v^2}{2}[/math] is the fluid pressure energy density from the equations of motion and that [math]\rho_A[/math] is a surface density, and so the acceleration/gravitational field is:

 

[math]\frac{P}{\rho_A} = \frac{1}{2} (\frac{\rho v^2}{\rho_A}) \ f = 2 \pi (\frac{ c}{ t_p}) = 2 \pi \cdot \Gamma[/math]

 

Dividing through by [math]G[/math] yields:

 

[math]\frac{1}{G}\frac{P}{\rho_A} = \frac{1}{2G} (\frac{\rho v^2}{\rho_A}) \ f = 2 \pi \frac{1}{G} (\frac{ c}{ t_p}) = 2 \pi \cdot \frac{1}{G}\Gamma[/math]

 

And so plugging in relevant terms from the master equation we find the gravimagnetic field dynamically related to the spin and centrifugal force:

 

[math]\mathbf{B} = \frac{1}{mc^2 e} \frac{1}{r} \frac{\partial U}{\partial r} \mathbf{J}  = \frac{1}{2} \frac{1}{G}\frac{1}{me} (\frac{P}{\rho_A}) \frac{\partial v}{\partial t} \mathbf{J} = \frac{1}{2} \frac{1}{G}\frac{1}{me} (\frac{\phi}{c^2}) \frac{\partial v}{\partial t} \mathbf{J} = -\frac{1}{m}\frac{a}{G} \frac{\mathbf{J}}{2e}[/math]

 

[math] = -\frac{1}{m} (\frac{m}{r^2}) \frac{\mathbf{J}}{2e}  = -2 \pi \cdot \frac{1}{Gm} (\frac{\mathbf{J}}{2e})\Gamma =- 2 \pi \frac{1}{Gm} (\frac{c}{ t_p}) \frac{\mathbf{J}}{2e} = -2 \pi \frac{1}{m} \cdot \omega \times (\frac{\omega \times r}{G}) \frac{\mathbf{J}}{2e} = -2 \pi \frac{1}{\mu} (\frac{\mathbf{J}}{2e}) \Gamma[/math]

 

With a reminder that [math]\frac{\mathbf{J}}{2e}[/math] was the Josephson constant for the magnetic flux and here, [math]\mu[/math] is the standard gravitational parameter and also with the generic gravitational field [math]\Gamma[/math] with its usual units of acceleration. Assuming the calculations have been done properly, this unites two of my theories together with that of entropic gravity.

Edited by Dubbelosix
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