4.1 The External Geometry Shift (EGS)
4.1.1 Identification
To find a solution for gravitation that is fully compatible with the profound nature of movement, we can postulate that the relative spatial distribution of momenta (energy) transforms momentum vectors according to the IGS. In a gravitational field, all energy vectors are affected in accordance with the formula for the IGS, which, for this reason, we now will call the EGS. This effect should not be considered a force between two objects. The spatial distribution of momenta (energy) rather decides the curvature of space � it defines it. According to the MRM, space is the same as time; therefore, when vectors move through space, they become affected over time. It is thus the properties of space that change velocities over time.
The base of each vector can be regarded to temporally move away in accordance with the EGS transformation:
where Δu represents an infinitesimal change in velocity in the direction (the x-axis) toward the gravitational center. This is the IGS transformation with the factor γ removed because the EGS should only describe every infinitesimal change, and in such cases, γ could be considered to be 1.
For ray tracing purposes, it could be more efficient to use a trigonometric version of the formula:
This simplified trigonometric two-dimensional version of the EGS transformation only contains the change in angles and not the change in magnitude of the vectors. It is easily derived from the original EGS transformation.
Using traditional units and constants, we can write the magnitude of the vector change as Δu = GM/r2 divided into an infinitesimal fraction of length (time). It should be noted that M in this case describes the total internal energy within the gravitational source. The gravitational field will be stronger if the source is rotating.
The EGS transformation is an externally applied bending of all momentum vectors within a specific space. The transformation includes both free and internal momenta, meaning both light and matter. The properties of space change in such a way that when the momenta undergo any operation, they become bent in accordance with the EGS.
| Two compounds form an inertial frame of reference. They seem to send and receive momenta in a straight line. | This is an exaggerated schematic view of a later moment. Momenta sent out at earlier moments were bent in such a way that they still match the compounds' internal perception of geometry at later moments. The compounds continually seem to send and receive momenta in a straight line according to each other. |