Merry Christmas.  No Christmas card, don't look for it.  You don't respond, why send a card?
I should be giving you something of a gift, but things have reached the point where it's just slogging through the process.
But wait, it's Christmas and Christmas is a time to give gifts to those who you care about and who do I care about more than you?  So here is a picture of a gift (gleamed from a future post, but also from http://www.firemountaingems.com/resources/tutorials/7736).  What wouldn't I give to you were it in my power to give you anything?
The purpose of this picture in a future post (Tubular Peyote Stitch) which forms (Happy Hanukah) a star of David; and which spirals outward after a fashion is for the purpose of showing how carrier strands can interlock with points to form two dimensional features which can then be stacked to form 3 dimensional features (this is 'tubular' after all).  This doesn't explain the AuT process so much as demonstrate how it could work visually.

And you still haven't done much to comment on this, so ask yourself what you've given to me on this day of giving, and why what you've given should be considered adequate.  Or don't.
Well, that is enough insight and little enough at the same time; let's get back to where we were.

AuT-Building an algorithm 5 Calculus 4 of 6

The tangent line at some point (x0,y0) solves a line intersecting a curve.  There are only average curves in AuT and the universe is quantum points in quantum moments.

The importance of dimension in a non-dimensional environment can be established by differential equations.

We’re going to follow this analysis assuming that you can get estimates; but it is always going to be a faulty analysis.  Calculus is a dimensional undertaking and we’re in a non-dimensional framework. 

For calculus, you can “solve for something.”  Not only does that something “change” in AuT as x changes; but when you get to the AuT solution, you destroy the “work in the middle” which is what we call the universe. 

A simple example lies in the F-series for F(3)=0+1+1 or 3+2+1 depending on how the function is being used.  Yet another F-series solution would be f(4)=1+1+2.  Getting the right nomenclature for any use is an undertaking given the different ways that the F-series presents itself.  But for the universe the idea is that the sum(0-3)F(x)dx give a vastly different solution as individual elements co-existing than it does for the “total” even though you can total them.  Knowing the total amount of information in the universe is linear, knowing what makes up the total amount of information in the universe is quite different.

The example below doesn’t have “standard clock time” included which adds relativity, dimension and separation to the resulting answer, by you can still give a very rich linear function underlying that result.

Let’s use f(3)=3+2+1 AND 0+1+1 for this example:

The sum(0-3)F(x)dx becomes:

0=0 over 0,-1,1

1=1*(1-0) +1*(0-1).  The positive and negative 1 come from 1,1,0 and -1,-1,0

2=1*(2) +1*(-2).  0,1,1 and 0,-1,-1

3=0*(3)+0*(-3)

And you could continue this so that the next number would be

4=1*(5)+1*-5

The other forms of existence (photons, waves, us, etc) are easier to deal with but we’re looking for “problems” with calculus not why calculus works for us.

So if we were to add these ups we’d get zero.  If we were to “offset” these with secondary spirals it would work a little better so let’s do that even though it isn’t necessary to our discussion (at least it will give us non-zero answers) but first let’s pay attention to this, even the 0*3,0*-3 occupies a place and is a part of the “carrier” for this F-series.  The fact that it is zero tells us a lot about space, but it also “exists”. If we use dimensional calculus to solve for f(3) you get a different answer even if you ignore the negative spiral answers than if you don’t eliminate each solution in the series which you do not need to do in a timeless, dimensionless environment.

Anyway, adding the offset using 1/x for pi where x starts at -1+2

1=1*(1-0) + 1*(0-1) [for purposes of this example we are not offsetting the positive and negative spirals which seems unlikely.

2=1*(1-0)+1*(0-1)+pi[1*2] and 1*-1)+pi[1*-2]

3=1*(1)+1*(-1)+pi[1*2] and 1*-1+pi[1*-2] plus pi’(1*(1)+1*(-1)+pi’[1*2] and 1*-1+pi’[1*-2]+p’(0*3)+(0*-3))

Several ways of pursuing this concept are going to be presented over the next two sections.

You cannot do the sum since the negative spiral result and the positive spiral result work together to determine if there is a compressive answer (gravity) or a non-compressive result (anti-gravity).  Now if you are asking, does this mean that anti-gravity is possible, the answer is simple.  Anti-gravity drives the expansion of the universe at certain inflection points, but it is always there.  Like gravity it is less a thing and more a solution that reflects a thing under conditions of ct1 to ct(higher state) relativity.

This very complex solution not only provides for an offset universe but the existence of the stacked solutions (assuming I didn’t make a mistake) also defines a carrier for the positive and negative spirals of  1,1,2,3; 1,1,2; and 0,1,1 in length and we have not even achieved a single compressive state which would, at a minimum require sufficient solutions as set forth above not to make 256 points necessary to go from ct1 to ct2 but enough so that you have common sizes for those solution’s carriers.  This is not calculus, it is time independent, dimension independent math where each solution remains in place (relativity allows for apparent staggering and hence point solutions but at the quantum level there is no relativity so all the solutions exist together), that is all of the solutions set forth continue to exist for each separate element as a string of unsettled solutions.

Now many of you are saying that this solution is overly complicated with an evolving pi (and we’re not even looking at our version of pi yet) the creation of carriers and different ways of using the F-series but the universe is messy. If it wasn’t then you would need a high degree of design to get to a world which has the texture of ours.  AuT suggests that no matter how many times you start the universe off, you get to same result with all of the texture of this moment where you are reading this and everything else is happening around you, the wind blowing, the leaves falling, the birds flying in just the same way.

The mind rebels against this.  However, we blindly accept that matter can be directly converted to energy, something equally bizarre in many respects and we (well you) blindly accept physical forces which generate repeatable results.  The only real difference in credibility is that AuT provides an underlying structure that eliminates entropy and randomness.