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:
1/sRegions of Motion
Space/time (Larson’s time-space) Conventional reference frame.
Time/space (Larson’s space-time) “Anti-matter” (cosmic) reference.
Time Atomic configuration space.
Space Anti-matter configuration space.
Unit Speed Crossover point between material and cosmic sectors
Unit Space Boundary between the conventional reference system and the region of material atomic configuration.
Unit Time Boundary 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: with 3 boundary conditions: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.Learning from Contradictions
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.
Space/time Region with 3 boundary conditions:
Oscillation as Rotation
3 PlanarGeometric Perspectives
Names of Motions with 3 boundary conditions:
ShiftSpace and Counterspace
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 with 3 boundary conditions:
Counterspatial (Polar Euclidean) GeometrySpatial & Counterspatial Geometry
∞ with 3 boundary conditions:
Inward in Counterspace
Inward in Space
Motion in Time Only
P∞Directions of Motion
Outward in Space
Outward in Counterspace