AuT-The One Bit and F-series creation (updated with proof)

Here are some notes on my writing, this physics and my WWC/CWE books
About: Underlying symetry to quantum mechanics and thermodynamics
Interest: My story is as exciting as the ancient greeks, being a product of parminides, as rich as the renaisance, the mathematician being the same one to lay the math that powered that rich time in Italy;
AuT answers virtually all the questions left unanswered by science except those that predate space time but even in failing in this regard, it gives a framework from which to discuss that pre-linear time. It defines the holy grails of physics, things like 'what is dark matter' and 'what is the big bang' but it leaves those glasses broken and less important than the appeared at first. Almost all modern physics is headed toward AuT and as such it may be the most timely of inquiries in that field and in a sense in any field.
part II
About: What parts of government should be socialist; term limits; state constit. convention
Interest: Everyone here is watching this news every day
Timely: if rewritten slightly it could impact the election in 2 years
About: China's use of their economy to transfer manufacturing
Interest/Timely-maybe less than universal healthcare and term limits, but still worth looking at.

A little proof was requested, so let's put some geometry to this.
The one bit.
The universe is made up of a single bit of information, the god bit.  It is not two bits, it is not a growing number of bits, it is one bit.
Let's discuss it.
The information starts as non-information and it's not what we envision although it has many of the functions of our information but this information functions even more differently than ours.
So this starts off a 0 only in the sense that it makes no sense to us.  We're going to use 1 and negative one only because we have no other point of reference.
So it goes 0, 1, 0, -1
Somehow it becomes an F-series addition, let's talk about how this happens.
When the one bit went from 0 to 1 it begain a function.  Think about it.  The equation goes sequentially (very important) from maybe to yes, then back to maybe then to no.  It's not a vibration so much as its the beginning of the f-series.  001, 00-1.  Now you're saying, no, it's 0,1,0,-1 where's the second zero?  Aha!  Here it is: 0,1,0,-1,0,1,0,-1.  Now the negative one doesn't impact the 1 so you gett 0,1,0,0,1 and there is the f-series.  You also have the negative spiral from the same effect.
So, you have a single point that when solved for a value of x has an f-series built into its origin.
What next.  Whatever started this process merely continues it.  The offset comes from the solution order, not from any dimensional aspect.
This 001,00-1 means that the points are offset and separated but not by any true distance, but when the next one occurs it has with it both 001 and 00-1 into it.  The order of separation between 001 and 001+001 creates an offset.  The 00-1 is still there but it is separated since if it were to combine with 001 they would cancel each other out, so you end up with the two initial spiral solutions building on one another.  001 plus 001=002, 002 plus 001 (as the two circle back on one another) yields 003 and so on to infinity and beyond.  No additional information in generated, you merely have the current value and the historical values behind them.  Another way to look at this is 001 plus historical 001, 001 plus historical(1) 001 plus historical(2)002 and so on.  It's the f-series addition but you only have a single bit of information.
At some point this solution yields the 0,1,1 state which is not dimensional in the sense that we experience dimension but it is building along two states at once.
We know what this offset looks like:
What is common, aside from the denominator being the denominator is that the infinite series comes form a zero funciton that looks like this:
pi=n(sum(1 to x)[(-1)^(x+1)]/(2x-1)
This suggests that separtion derives from solution order according to the analysis that for any point it is separated by x+1 (of course) per every 2x.  The -1 is based on derivation vs integration since it is change (x+1) for integration and differentiation (per every 2x).
But, you say, you pathetic excuse for a physicists, how can you get such a result?
The answer is a long one, but also a short one.
Trig funcitons relative to the radian analysis:
     [sin(x+dx)-sin(x)]/dx=[sin(x)cos(dx)+cos(x)sin(dx)-sinx]/dx
dx doesn't go to zero in AuT
sinx[(cosdx-1/dx)+cosx(sindx/dx)=A+B
first goes to zero in traditional math as dx goes to zero; the cos side goes to one
goes to cos(x)
thus the derivative of the sin=cos
cos(a+b)=cosacosb-sinasinb
cos(x+dx)-cosx/dx=[cosxcosdx-sinxsindx-cosx]/dx
=cosx(cosdx-1/dx)+(-sinx(sindx/dx))
dcosx/dx=(-sinx): at x=0 this is the limit as dx goes to zero is [cos(dx)-1]dx=0
dsinx/dx as xgoes to zero =1
derivatives of sin and cos at x=zero give all the values.
REQUIRES GEOMETRY
    replace dx with theta (angle)

The arclength from p to q where theta (the angle) yields a length that is the sin of the right angle from q down to the baseline of theta.
So you have the suggestion that sin(theta)/theta but when you go non-dimensional:
pi=n(sum(1 to x)[(-1)^(x+1)]/(2x-1)
or (-1)^(x+1)=equiv of sin(theta) which is "per or divided by" 2x-1=theta
Now theta and sin(theta) at the quantum state are equal (there are no curves you have in this model a multi sided box which we showed previously:

And eventually the delta y=length of one of the sections and since the number of sections (no true angles, just numbers) are increasing everything looks curved to us.
The net result is that what is important is not how you get from geometry to non-dimension but the opposite.  Short curves are not nearly straight in AuT they are straight.
so what happens at the minimum length to geometry?
(-1)^(x+1)=-1^2=1
2x-1=1 which is the same result you get with dsinx/dx.  I didn't force this it just happens, but keep in mind one is a non-dimensional result (AuT pi derivation) and the other is dimensional (proof of the sin function).
Now some of you with math experience are saying, ok, you have a tautology, given the factors, you get result.  Why Compare though?  The answer is that all change giving rise to dimension is a comparison of one compressive state to the next, the number of coordinates changing in one solution compared to another, the 1 to 11, the 11 to 111, for that matter the 111 to 1 although not exactly the same in effect, the same in concept.
For the cos function you get the same result

From the center of our circle to the right angle is cos(theta)
the gap=1-cos(t)
At the minimum the gap=1; and 1-cos(t)=1-1=0 which means what?  It means that at the minimum you have to have the multi-sided effect.  In other words, even our curved space in a real analysis requires that quantum mathematics applies.  Now you're saying, but this is also high school geometry and my answer is that, in geometry, you have zero over zero. That is a nonsense result.
But if you are going backwards, something else happens.
you have a result which converges based on the sums where the amount of convergence (i.e. the number or result) varies both with the number of points solved at once and the number of points solved together and the other effect is the order in which they are solved relative to one another.

Then when you are looking for dimension from this point to infinity you get the n(sum 1 to x) for each separate compressive state this process continues.

The other issue, however is that what we see is the difference between two solutions which is the result of one solution being built on top of the prior two solutions.  The quantum answers do not cease to be interesting, but we live in the comparison of two results.  The results of a point moving relative to a force around a point (pick an electron vs a proton) is on some sort of clock where all the points move; but at one point, with compression, they continue to change, but in a limited fashion one to another, the increases in each are incrementally different and this forms an average which eventually appears as a curve.

So much for physics (and the proof as yet), I haven't written a poem to the muse in a long time.

I have the vision
our little house
on bainbridge island
we could each take
one little bit
and put them together
and we'd have
our little house
from where we could go
when it got to remote
when we tired of each other
or at least the other's cooking
and look to the east
where across the mountains
we can find the sun
that you seem to need
a fictional place
with a little pool
in our back yard for me
as the eastern sun is for you
I love the vision
and I love you
I also love what I was given
a long long time ago
and which I was willing
to give up for you
a long time ago
Today the rain finally came
And it the quiet privacy
i always find in its shrouds
I who see so much more
than anyone else
I looked for answers
that are not mine to find