The building of space and building an algorithm part 3

The purpose of this set of posts is to show one method that space can be built as an information based system according to an algorithm.
This method is considered the best so far, but is far from complete. Also, at 2.5 years into this project, there are places where choices have to be made, but not all of those choices have been made.
What we know is that quantum time states have to be built from multiple prior time states to protect historical perspective and dimension with change based on a single variable at quantum steps.
The assumption is that the universe has to build from an algorithm because there is nothing else for it to build from.  It also assumes that observed phenomena reflect the algorithm and it relies heavily on on observed phenomena to derive the equations.
The substrate on which this is built is the really important element but the process of developing AuT is the process by which we will determine the features of the substrate.

Preliminary

First Steps away from combination theory

Spiral methodology

The summation of ct states with carriers looks something like this to generate the F series.
What can be seen from this is that one builds from the other according to the f-series
x=x-1+x-2.  A negative version 0,-1,-1,- is being built simultaneously
0,1,1,0                    x=1 pi=4
    0,1,1,0                x=1 pi=4-4/3+4/5
       0,1,1,0          
       0,1,1,0             x=x-1+x-2=2 pi=4/-4/3+4/5-4/7+4/9 (note that even though two spirals exist, they
          0,1,1,0                            are not offset from one another and pi may ory not have changed
          0,1,1,0                            twice it's assumed only that only a single even occurred.
          0,1,1,0         x=x-1+x-2=3 pi=prior pi -4/11+4/13-again only a single change occurred so
             0,1,1,0                         pi may only have changed by one event
             0,1,1,0
             0,1,1,0
             0,1,1,0
             0,1,1,0
This continues but there is no reason to believe that each lower state ceases to exist and there is no reason to believe that it doesn't.   there may be different versions of pi or the highest solution of pi may apply to all time states.
sin(pi/2) would be for each
sin(4/2), sin((60-20+12)/2)=sin(52)
This is much more complicated that it looks because there is no dimension as we perceive it in these initial formulations because there is not enough curvature.
Put another way, if we assume that the number in the parenthetical is radians, you cannot get to a dimensional answer because you have to multiply by 180 and divide by pi and pi isn't something that makes any sense here to get to degrees.  Dimension is being built so the methods of defining space have to evolve with it.
There does not appear to be sufficient separation and sufficient complexity or staggering of states unless the earlier states remain in place and are offset although the offsets may be much more complicated for example where the f-series is 5 it appears that two are offset from the other 3 as they are added together.
The solution defines everything we experience so even though there is a very good reason to explore the large number of alternatives.
Presumably it will be some time before there is enough information and enough curvature to have compression states and the point at which our universe exists is far down the line.

Departing from preconceived notions of singularity