Gravitational / temporal displacement contour plot
Posted: Sun Aug 05, 2007 10:00 pm
I created a plot of the temporal displacements involved in gravitating masses (the 3-body problem), see attached. In the image, the vertical (Y) axis is the temporal displacement, the higher up, the larger the displacement (and hence the stronger the resultant force). The X-Z plane is a coordinate space plane where the masses are positioned in space.
To find the temporal displacement, just pick an X-Z point and read the Y coordinate of the contour.
The center of gravity of the 3 masses in the plot would be in the center of the vertical pillars; the width of the pillars is the relative magnitude.
If you notice that there is a higher displacement between bodies, which accounts for the "attractive" force of gravity between them, and the further you get from the bodies, the more circular the force field becomes.
From doing this plot, I learned something important regarding mass--mass is a motion in THREE scalar dimensions, yet ONLY ONE dimension can be represented in the coordinate reference system of extension space (see Larson's distributed scalar motions). Hence, electric, magnetic and gravitational forces are a ONE DIMENSIONAL interaction--ONLY the dimension that can be expressed in extension space can take part in the equations of force, since force is a VECTOR in extension space, not a scalar speed.
I believe the Gravitational Constant is a "fudge factor" to account for the magnitudes in the other two scalar dimensions that CANNOT be represented by the reference system in the force equation. I am going to do some more research on this to see if it pans out as expected.
Temporal displacement versus X-Z coordinate location mass/gravity plot
[img]/files/gravity_209.jpg[/img]
To find the temporal displacement, just pick an X-Z point and read the Y coordinate of the contour.
The center of gravity of the 3 masses in the plot would be in the center of the vertical pillars; the width of the pillars is the relative magnitude.
If you notice that there is a higher displacement between bodies, which accounts for the "attractive" force of gravity between them, and the further you get from the bodies, the more circular the force field becomes.
From doing this plot, I learned something important regarding mass--mass is a motion in THREE scalar dimensions, yet ONLY ONE dimension can be represented in the coordinate reference system of extension space (see Larson's distributed scalar motions). Hence, electric, magnetic and gravitational forces are a ONE DIMENSIONAL interaction--ONLY the dimension that can be expressed in extension space can take part in the equations of force, since force is a VECTOR in extension space, not a scalar speed.
I believe the Gravitational Constant is a "fudge factor" to account for the magnitudes in the other two scalar dimensions that CANNOT be represented by the reference system in the force equation. I am going to do some more research on this to see if it pans out as expected.
Temporal displacement versus X-Z coordinate location mass/gravity plot
[img]/files/gravity_209.jpg[/img]