Appendix A
The difference in value between b(min) derived from the Schrödinger equation and b calculated empirically from Earth-surface F-sub-G is 8.4E-19 meters and proves to be the mean factor 1.079 or 7.9%.
The concept of continuous time t leads to exponential growth-decay:
a = a-sub-0 x e^ (rate x time) where e = lim (n infinity) (1 + 1/n)^n = 2.718.
Applying the expression for time itself, then
T(new) / T(old) = e^(r x t) = e^(0) = 1.
For time t itself, the rate r = 0 and there is no change in continuous time t so that one “second” of “time t” does not change. Time t is absolute.
Differential equations for centuries, e.g. the Schrödinger equation, assume time t is a real and continuous variable.
In the transformation t = cB, we need to treat continuity of time as a slight-contiguity of space.
In that case, we find 3 x 10^8 met/sec to be a large enough frequency (number n) to continue using the calculated value of e = 2.718 = lim as ninfinity of (1+1/n)^n.
But in a directional spatial sequential model, then space itself advances or grows per some rate different from r = 0.
As a one dimensional chalk line curves in a two dimensional blackboard, and as a two-dimensional earth-surface curves in three-dimensional space, then a change in 3-dimensional space needs to take place in a mathematical dimension higher than 3.
Postulating the higher number of dimension (vertices) to be 5 as in the Fibonacci infinite sequence, and considering physical events B = 1 / b = sec^2, then we calculate the following for one second of time t:
(V-sub-S / V-sub-0)^1/5 = e^(rV x t)^1/5 = e^(.618^(5-3))^1/5 = 1.079
or a 7.9% decrease in physical events B (increase in one-dimensional size b) from the continuous-time model used to calculate b(min).
