In order to get to a universe with the complexity of ours build on solutions to twin intersecting linear spirals which are out of sync the building process (F-Series) for spirals should be the same as the spirals themselves. Adjacent spirals would give adjacent solutions so it seems probable that the building of the spirals occurs at the same rate as the propogation of the spirals.
There are several ways to approach this, but the one that seems best suited to observation is an exponential building as opposed to a pure F-series construction and that this building world occur with each spiral quantum change, that is to say, with each change in x.
Using F as the designation of a spiral, it would look something like this:
x-1 F1
x-2 F1', F2 where the ' stands for the first change in solution. F2 is being solved for x-2 but it is still being solved there for its beginning equation, i.e. F1 is rotated one unit relative to F2. This can be accomplished by having the equation for f2 use x-n where n is 1 less than x. This same type of change would follow for other spirals as shown by the next change
x-3 F1'', F3, F2', F4: Here the exponential change is the same as the exponential building from the intersection of spirals shown in the drawings below. In this case F3 springs from F1 and F4 from F2. The solution for x in F3 and F4 would be x-n' where n' would be 2 less than x.
x-4 would result in F1''',F5,F3',F6,F2'',F7,F4',F8 with 5,6,7 and 8 having a n'' predictably 3 less than x.
This fairly simple model would allow for incredible complexity even at this level with the spirals interacting and offset. As you get to the higher concentration states of each spiral the changes would become more radical.
Compression to photonic and wave energy might occur relatively early this this model, but given the need for proximate solution this result might not be allowed to occur as a stable state.
One reason for the lack of compression would come from early state changes adjacent to later state changes.
The point where the spirals began to turn would be almost immediate, but something should be present to generate the incredibly long spirals arms or lengths before turns that we experience, i.e. spirals that go through billion year compressions and billion year re-expansions/entropy periods.
Since there is no need to have a solution with a fixed amount of data for the algorithm, but there is a need for a fixed amount of information for any universe, it appears that the largest spiral has a solution that is defined by the lesser spirals which make it up but without the effects of the larger spirals of which it would be a part.
The size of the spirals in this model would not be limited and perhaps the easiest way to grow them would be to extend them by quantum length with each rotation.
In this way you would have the following result in terms of length:
0,1,1,2,3,5
1,2,2,3(4),4(6),6(10) etc with the parenthetical number being an alternative result.
In this way the length of the spirals grows exponentially for each spiral.
The F2 spiral would appear as follows relative to the F1 spiral in terms of length after this first period:
F1 1,2,2,4,6,10, etc
F2 0,1,1,2,3,5, etc
This growth patern in terms of the length would continue until there was sufficient concentration for a state change at which point the first 90 degree turn (based on sin(pi/2) would occur.
The exact method of building is uncertain, but this could, conceivably result in extremely long spirals before even the earliest turn began notwithstanding the fact that turns would necesssarily have to occur for exponential compression using capacitance type interactions.
While one thought might be that this would take a long time, that is not relevant since the solutions to any spiral equation are instantaneous. The size of the spiral arms should be defined by the number of spirals down to full concentration or the amount of information in any spiral arm. For example, if we knew that we were 10% of the way towards decompression, we'd know the length of the post compression arm and could figure out the total length, divide that by 10^-47th and have some idea of the total amount of information in the universe.
Likewise using gravity to figure out the total amount of information in the universe using a quantum value of gravity, we could figure out how far along we were on a given arm given the amount of information in each state.
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