5. i^1 = a quarter cycle counter-clockwise angular displacement i^2 = a half cycle counter-clockwise angular displacement i^4 = one cycle counter-clockwise angular displacement i^n = n quarter cycles counter-clockwise angular displacement i^4n = n cycles counter-clockwise angular displacement
6. The quanta units of angular displacement include: a. cycles = i^n/4 b. half cycles ( cycles * 2 ) c. Quarter cycles ( cycles * 4)
7. The real number units of angular displacement include: a. radians = ( 2 * pi * cycles ) ( Which is an angular displacement referenced to a radius unit.) b. action = Planck's Constant * i^n/4 ( Which is an angular displacement referenced to an energy unit.)
8. Angular displacements are measured using an external,REAL, [NOT abstract] standard frequency source.
Since 1967, the International System of Units (SI) has defined the second as the duration of 9192631770 cycles of radiation corresponding to the transition between two energy levels of the caesium-133 atom.
In other words, although i^n is the most fundamental quanta of change, in order to measure it, it must be referenced to a REAL external source, and at the present time, that reference is the angular displacement of an energy level transition of the caesium-133 atom.
9. The Potter Equation x = e^(i^n * m*pi) = e^((i^n)^2 * k)