Bounding makes it simple

This arrangement, for example. The range of motion for three spherical things bounded by another spherical thing. So the actual unit sphere is centered in each of the circles and we have four of them.  I don't care how it does motion, I care that the enclosed error bounds are stable. If the three blue circles are identical, then they are held in place by some unit force, set to one and placed in the center of the yellow. So each blue has a force relationship with the center, they do not overlap. I know right away I have a simple polynomial with three roots, each root identified relative to the center of the big yellow.
The Efimov condition says the blue circles only interact with their neighbors, so the polynomial looks like:

x^2 -3*x -1 = 0.   No x^3 component. If the blue circles have cross coupling between all three then the equation is: x^3-3*x^2-3^3-1 = 0. The blue will be spread out and I have two degrees of motion.

Here the circles overlap, so their bounds are coupled. It really all boils down to makes circles, mostly.  Each degree of freedom generates another finite log, so the system has a sequence of them.

The key point is one needs to have unit spheres which always accumulate the 1/F to approximate the unit value.  That locks in a specific p/q that acts as the base for the system, and from that the finite log is determined.. Relativity is no problem because time is an output. The variable x is an integer quant index. The accumulated finite log is a quant value, and the digit base the quant base.  No time, and the only distance is relative to the smallest unit sphere.