AuT and consolidation

I have reached a point where I need to consolidate again.
Book 4 is getting so much information that is not in the original that it is almost like a new book, but that is the problem with building a theory.
I've been editing book 2 which is a truly solid work, but is almost getting completely rewritten with the new information and none of this fully evaluates the building algorithms that are set out in principle in book three about how pi and other features of curvature (sin and cosine) are derived from converging series, the pi aspect being more fully developed but the sin aspects requiring more attention to fully define the compression/decompression algorithm.
The focus on converging spirals remains a valid point to consider, but these posts have to define how the spirals are formed from non-linear space impacted by converging series and this in turn has to determine how positive and negative solutions arise, see the earlier post that discusses 0' as a vibrating information source generating positive and negative results associated with -1^x or 1/-x^x algorithms.
The alternating results in turn result in alternating expanding and compressing algorithm that allow the amount of information to grow at a rate which is at times greater and at times less than compression which appears to be a function of the length of the carriers which, because of the infinite series incorporated in denominator solutions, alternate between postiive and negative but last for alternating periods of time averaging as expanding and contracting over various values of x to create these inflection points of expansion and contraction.
One of the next areas of inquiring can be found in this sentence:
What these figures show is that not only does time change relative to other lines, but the information carriers themsevles, the source of time change so that time changes for different ct states from one information arm to the next as it goes from ct1 to ct5.
What this suggests is that there are four parts to the information arm solution, at least at the ct4 interface:
1) The F-series being carried, the prior ct state (ct1 for ct2 arms, ct2 arms for ct3, etc) (F(n)=n+n-1+n-2 or 2(n-1+n-2)
2) The F-series governing expansion or contraction, presumable of the general form: Sum (0, max n) [(-1)^n/(2n+1)!]y^(2n+1) which controls the stability of the state of the points in question averaged together which is an outgrowth of a presumably earlier form which varies according the the ct state from (x-1) plus 2x(-1)^x-1=f(pluspix) and n/f(pluspix) which varies by ct state (n) as the sum(n+n/f(pluspix)  and finally pi which is sum(0 to x) of N+N/f(pluspix) which also has an underlying factor of n/(n+n/f(pluspix)=f(pix).
3) The F-series governing the length of the change from expansion and contraction in conjunction with the prior solution and of the general form: Sum (0 to the specific x/point in question) of F(x)=n-1+n-2 so that the solution incorporates all prior solutons
4) The information arm itself. defined by 2^n compression stages
The idea that there may be fewer than 3 for lower states is supported by the fact that there are fewer dimensions for lower ct states and that the universe is built from alternating expansive and compressive solutions.
I did not start this post by complaining about the problems with being 3-5 years ahead of everyone else, but it doesn't mean that I've forgotten about it.
There is something of a curse that I suffer from along with some other curses, such as my separation from you and your disbelief.  Perhaps I will consolidate my complaining too, you should be so lucky.