For many, Dewey Larson's Reciprocal System theory is so superior to modern physical theory that it represents no less than a new gateway to reality. Out of the fog of long tradition, emerges this refreshing, stimulating clarity that beckons us to the future, a future of immense new possibilities fashioned entirely from the combinations of motion.
The wheel is a more natural way to represent the "periodic" nature of the progression of physical elements than a table as can readily be seen from a cursory glance at it. Beginning at the center, the completion of each successive circle represents an addition of a magnetic unit of motion in each of two dimensions.
As devised by Mr. Larson, the three position notation, appearing at the 0 and 180 degree points of each circle, shows the values of the two magnetic dimensions in the first two positions on the left. The third position represents the value of an element's electrical displacement. To determine the configuration of the motion for a particular element, append its value of electrical displacement to the two values of magnetic motion shown for the element at the top of the circle in which the element appears. For example, iron, Fe, would have the value 3-2-8, the values of magnetic motion shown for argon (3-2) plus the electrical value shown for iron (8).
Proceeding clockwise at the 0 degree point and adding motion, in increments of electrical displacement, to an element's existing value of motion, produces the successive elements of atomic numbers until the 180 degree position of the circle is reached. At this point, the magnetic equivalent of electrical displacements is fulfilled and the notation again shows 0 electrical units with the appropriate magnetic dimension incremented. Thus, the notation always shows a 0 value for electrical displacement at the 12 o'clock and 6 o'clock positions of each circle.
The same notation again appears at the 3 o'clock and 9 o'clock positions. This is to accommodate the observation of Mr. Larson that units of motion follow laws of probability and do not form combinations that are highly unsymmetrical and thus unlikely. Therefore, the element carbon, at the 3 o'clock position in circle 2 for example, is just as likely to take an alternate, but equivalent, form of its motion combination.
This alternate combination of motion is formed by incrementing the motion in a magnetic dimension to its full value at this point, but then compensating for it by adding an equivalent value of electrical displacement in time (indicated by placing parenthesis around the value). Since, in the RS theory, time is the inverse of space, this effectively balances the combination of motion by bringing the total back to the value represented by the original notation. In other words, 2-2-(4) = 2-1-4 for carbon.
As the series progresses, the alternate form of motion combination becomes more likely. Therefore, in each circle, at the 3 o'clock and 9 o'clock positions, the notation switches to the alternate form and the electrical displacement value of each element is shown as units of time displacement descending to zero at the 6 o'clock and 12 o'clock positions.
Successive units of magnetic displacement have an increased value of equivalent electrical displacement by virtue of the nature of the motion itself. Since magnetic motion is actually comprised of two 2 dimensional motions (the first two dimensional motion can be conceived as forming a disk and the second as a rotation of the disk), the equivalent 1 dimensional electrical motion (displacement) of any magnetic motion is two times the value of the magnetic motion squared.
But atoms, according to the RS theory, are actually double units of magnetic motion joined together (as indicated in positions 1 & 2 of the notation). Therefore, the number of total electrical displacements in a circle, and thus the total number of element positions available in a circle, is twice the electrical equivalent of the magnetic motion that produces the unit of speed displacement at that point in the progression. So, the first unit (1st circle) has twice 2 times 1 squared or four positions. However, in the first circle, only the fourth position, hydrogen, is represented. The first three positions are not shown, but if they were shown, position one would have the value 1-0-0, position two, 1-0-1, and position three, 1-1-0.
The total electrical displacement value of the second unit (2nd circle), starting with helium, is 2 times 2 squared or 8 electrical units in each of the two magnetic motion combinations, for a total of 16. The value of the third unit (3rd circle), starting with argon, is 2 times 3 squared or 18 units of equivalent electrical motion in each magnetic motion combination, for a total of 36. The value of the fourth unit, starting with xenon, is 2 times 4 squared or 32 units of equivalent electrical motion in each of the two magnetic motion combinations, for a total of 64.
So, starting with element number 1, hydrogen, we add one electrical displacement to its value of 1-1-1 which produces helium, 2-1-0 and then proceed around the circle as previously described.