Building an Algorithm 5

How will we define g-space?  Quite simply we will define it by what it does and what it shows.  Matter and energy and time as we understand them have absolutely nothing to do with what it will be like.
On the physics front what we've been doing is working forwards (from non-linearity) to see if we can meet what we did working backwards from observation.  It is working surprisingly well so far, but there are snags, because going from a non-linear environment to one with dimensions has a number of variations which is what we'll discuss here.
The separation of phenomena must lie in the addition of separate phases which is also the thing which seems to connect past events together.  These are logical outcomes, but the strange one, history, seems to be no more of an issue than the one that seems so common, dimension.
So let's look at our math, which is a poor starting point, but it's what we have, and figure out how this works:
Pi*1 radian=180
so if pi is approx 3.14etc then 1 rad=57.30  approx
Now in AuT we have a changing, but precise pi.
In this case pi can be defined exactly for any value of x.
So from our perspective if pi =4-4/3=8/3 then 1 radian is equal to 180*3/8=67.5  This represents a circle which is not curved but which is made up of quantum lines at specific angles to one another and the quantum is not an actual length but is merely one yes/no relative to the next.
The next value is 4-4/3+4/5 which if you do the math yields a radian equal to a more complex number 51.923...
For purposes of this exercise, we're going to go out one more place even though we are looking at the very, very early AuT universe, nowhere near where we are today
The next value is 4-4/3+4/5-4/7 yielding 62.171...
This yields the drawing that we've looked at, but when they are added, the result is a little more peculiar.  Assumptions are made to get this drawing:
0,1,1,0 for example
Also there is a baseline so that the difference in the value of 1 radian shifts the angle from a common baseline which may not be the case.  The drawings are approximate also so the angles are not exact but the left opposite facing triangle is approximately 3 times as angled as the right and this will see saw back and forth as does the solution for pi.

If all of the points had a single origin, you'd get the result on the left (common origin).  But the points come up sequentially so you get the much more complicated version on the right.  However, this is an F-series variation so the actual x=3 shifting origin might look more like this:

We're going to use the bottom x=3 even though I can give you a good reason for using the other version of shifting origin for x=3, but the results are similar.

Unfortunately, the amount of potential variation in the solution depends on what is changing other than the value of pi so that the number of potential changes is growing rapidly and the complexity of the resulting universe is rapidly changing.  I is not immediately obvious, but the change in the positive or negative result along with the changing angle will quickly result in a drawing that is a mass of lines so complicated that the relatively simple universe that we experience is overwhelmed.  Worse still there is no reason why the point of differentiation has to shift around a single point.  Adding two states together to get a fourth can vary a great deal particularly since every other change includes positive and negative elements.

You don't want to give any feedback to speak of but you want to see everything, so I will show you this.  

The image below shows this for a shifting point of origin on the right based on the approximate center and the one on the left shows a common point of origin.  Again, many assumptions (like the node point of attachment and roughly drawing the angle and not having the angle origin shift) are made to make the drawing more simple.

These are not, however, the most complicated version of this formulation.  The series based on a shifting point of origin appears to yield the more spiral galaxy version, a more gravitation-ally centered result, so we can pick that one over the other common origin point which makes less sense for several reasons.

These images show how compression can occur based on common direction of the spirals, but it is far from complete.

We have to have more dimension, so if it satisfies you, and it certainly doesn't satisfy me, we can have the same angles come out of the page where there is overlap giving us an additional varying dimension and three dimensional space based on a two dimensional environment.  To envision this, just think that at every overlap, the same angle off the parallel to this line:_____ comes out of the page that same amount and in both directions to reflect the positive and negative alternating variations in pi.