Dimensions in the Time Region

Discussion concerning the first major re-evaluation of Dewey B. Larson's Reciprocal System of theory, updated to include counterspace (Etheric spaces), projective geometry, and the non-local aspects of time/space.
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bperet
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Dimensions in the Time Region

Post by bperet »

We normally work with the various motions of space and time in the outside regions of our everyday existence. I thought it might be valuable to point out what these same dimensions look like, when inside the time region--where there is "time" only.

In the time region, space, s, is replaced by the temporal equivalent of space, 1/t. Therefore, the "speed", s/t, in the time region is s/t = (1/t)/t = 1/t² -- a 2nd power relationship.

Speed (s/t) = (1/t) / t = 1/t²

Energy (t/s) = t / (1/t) = t²

Force (t/s²) = t / (1/t)² = t³

Acceleration (s/t²) = (1/t) / t² = 1/t³

Mass (t³/s³) = t³ / (1/t)³ = t6

Momentum (t²/s²) = t² / (1/t)² = t4

It is interesting to note that in the outside region, F = ma, t/s² = t³/s³ s/t². Force (t/s²) and Acceleration (s/t²) are conjugates of each other (where the aspects of space and time are switched, but the dimensionality remains the same). But in the time region, F = ma, t³ = t6 1/t³... Force (t³) and Acceleration (1/t³) become inverses of each other.

Speed in the outside region is s/t, or more precisely, s¹/t¹. The dimensionality of 1 indicates a linear geometry, completely in agreement with the Euclidean view of linear space.

Speed in the time region, however, is 1/t². The dimensionality of 2 indicates a planar geometry; a polar coordinate system. Examine the 3 dimensions of motion:

1D-Speed: 1/t² -- one plane

2D-Speed: 1/t4 -- two planes

3D-Speed: 1/t6 -- three planes

Other things of interest include the fact that the atom is comprised of TWO and only TWO, double-rotating systems. In order for two, double-rotating systems to exist (3 dimensions each), and to remain independent, there would need to be 6 degrees of freedom within the time region, which is actually found in the t6 dimensionality of time region mass.

Going back to Horace's comments on gravitation, I've always had problems understanding Larson's explanation of the gravitational force of attraction, F = G m1 m2 / r². If you put the units in, m1 x m2 gives t6/s6, with the gravitational constant used to bring the dimensions back in line with force.

There seems to be a similarity here between the "attraction" between two double-rotating systems (masses) within the time region, producing a t6 dimensionality and the gravitational force of attraction. And the same limitation is there--two, and only two, masses can be used to calculate the attractive force between them. I'm not sure what it is yet, if anything. If anyone has any ideas, please feel free to comment.
Every dogma has its day...
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