AuT stacked math and information theory

To show how the F-series equations work with different states the following models are useful:
CT1=0,1,1 the true clock time state varying only relative to x.
CT2=1,1,2 or in in terms of F(x)=4
The stacked result is
11 is 4^4 or (using our view) F(x)^2^x=4^2^2
The assumption of the transition is a little different than the actual transition from this point forward.
CT3=1,2,3 or F(3)=6
111 is not 6^6^6 nor is it 12^6.  It is F(x)^2^x or 6^2^3 or 6^6. However it is also compression based on ct2, not on ct1.  The base 6 is the Fsolution, the exponential 6 is the same 4 plus of 11 plus 2
CT4=2,3,5 or F(4)=10
1111 is not 10^10^10^10 nor is it 30^10.  Instead it is 10^2^4 or 10^8.  If you look, however at ct 4 what you have is 10, the F series ^11[which is F(x)=4]+^11[also F(x)=4) which is 10^8
For ct5
11111=3,5,8=16
not 16^16 etc but instead is 16^2^5=16^10 which is, not surprisingly the same 8+2 that you see for uneven ct3.
Hence, there is a pattern that arises for even and odd increases in ct states based not just on information theory but also; as a result of the relationship of stacked F-series function, based on the F-series.
This suggests that F-series stacking to make higher time states and information theory arise from the same features that define our universe in terms of compressed information states.
And if that doesn't get me the Nobel prize, well its a spiral problem.