Re-Evaluating the Reciprocal System of theory. Questioning the Rotational Base. If one can have linear vibration , without anything to vibrate , Then Why cannot one have rotation , without anything to rotate ?.
Questioning the Rotational Base
If one can have linear vibration, without anything to vibrate,
Why cannot one have rotation, without anything to rotate?
The attempt to answer that question led to a 4-year research effort by KVK Nehru and Bruce Peret... and they discovered the answer. But the answer, itself, is not as important as the journey getting there...
Larson’s RS identifies 4 distinct “regions” of speed, with 3 boundary conditions:
Space/time (Larson’s time-space)Conventional reference frame.
Time/space (Larson’s space-time)“Anti-matter” (cosmic) reference.
TimeAtomic configuration space.
SpaceAnti-matter configuration space.
Unit SpeedCrossover point between material and cosmic sectors
Unit SpaceBoundary between the conventional reference systemand the region of material atomic configuration.
Unit TimeBoundary between the cosmic “anti-matter” reference system and the region of cosmic atomic configuration.
For now, only the material sector perspective will be considered, as that is the region of our common experience.
The Unit Space boundary separates the Time Region from the space/time region, making everything within the inverse of the space/time region. Zero becomes Infinity; Infinity becomes Zero, and Unity stays Unity.
Given a natural datum of Unity, the minimum quantity of motion must always occur.
These are PRIMARY MOTIONS:
When there is no minimum quantity, the motion can act only as a modifier to a primary motion. These motions are always rhythmic in nature, because of the maximum quantity of 1 unit.
These are SECONDARY MOTIONS:
When we compare the characteristics of the time and space/time regions, it becomes obvious that the space/time region is represented by rectangular (linear) relationships, expressed by real numbers and the time region is represented by rotational (polar) relationships, expressed using imaginary numbers (aka “rotational operators).
The key word here being: perspective. Even with this simple reciprocal analysis across the unit space boundary, it becomes obvious that the location of the observer must be considered when analyzing the systems of motion, for without it, contradictions abound.
With the advent of computer modeling, the techniques for creating perspective transformations have become well-defined and commonplace, known as the study ofProjective Geometry.
Two seemingly contradictory claims have been made:
From the perspective of the space/time region, linear motion can occur without anything moving, but rotational motion must have an underlying linear motion to rotate.
From the perspective of the time region, rotational motion (turn) can occur without anything to rotate, but linear motion must have an underlying rotational motion to vibrate.
Oscillation as Rotation
Names of Motions
Counterspace is the inverse of “space”; the space of common understanding, and is nothing more than a name for a “polar time region”.
The cosmic equivalent to counterspace is “countertime”, the inverse of time, and is the “polar space region”.
Spatial (Euclidean) Geometry
Counterspatial (Polar Euclidean) Geometry
Inward in Counterspace
Inward in Space
Motion in Time Only
Outward in Space
Outward in Counterspace