Arthur C. Clarke

I think there's a strong possibility that we're at a turning point in history--a complete revolution in human affairs--the discovery of totally new energy sources. Many people are skeptical of this, but I think we may be going through the four stages involved in any revolutionary development: It’s nonsense! Don’t waste my time. Oh, it’s interesting, but not important. I always said it was a good idea! I thought of it first.

The concepts behind RS2 have gone through a number of iterations over the years, originally using Prof. KVK Nehru's concept of "birotation", published in Reciprocity to explain the polarization properties of light, which had remained a mystery with Larson's model of the photon.

Upon the discovery of birotating electrons (Cooper pairs) and realizing that birotation may be a general principle, the concept was generalized into a "polar" geometry, the reciprocal of linear geometry, where "polar spaces" were considered as an alternative to Larson's need to have a direction reversal, to form a linear vibration, to have something to rotate. In a polar space, rotation is primary, so that any displacement in speed away from Unity will produce a rotational base.

With this came the recognition that, from a Material Sector point of view, space is linear and time is rotational, which fits the commonly understood views of space and time... yardsticks are linear and clock faces are round.

During the research lectures in the winter of 2008 in Salt Lake City, it became apparent that the concept of complex numbers, commonly used in electrical engineering, were a good way to represent this intersection of linear/space and polar/time concepts in a single, mathematical relationship.

The application of complex numbers allowed two forms, "space + (i) time" or "time + (i) space"--both Material and Cosmic sectors can be represented with the same mathematics, where the aspects of space and time are switched--the same definition Larson uses.

RS2 is currently using the complex number as a representation of "motion", s + it, rather than s/t.

In addition to this, RS2 incorporates concepts obtained from the study of projective geometry, the process that computers use to create artificial realities from just numbers (magnitudes), as the parallels to the Reciprocal System are quite strong. From this, the observer principle is accounted for, along with the "stage rules", the backdrop of motion that forms the progression of the natural reference system.

To combine these concepts into three dimensions, matrix algebra is used--the transformation matrix of projective geometry--to represent 3-dimensional motion. The key point here is that it is the TRANSFORMATION that is the MOTION! It is the absolute locations in space and time that are being transformed by motion--what is "moving" are the locations, and the motion is the transformation.