AuT-Calculus 3 of 6: Pre-compression-decompression inflection points

For those of you who read this regularly you will find in the deep recesses the use of the capacitance equation as a model for the universe.  For those of you who do not, you will see in this post why that model works generally.  In light of those posts, this is largely repetitive. Also, I noted that 6 of 6 is one sentence.  I wonder if I should fix that or have a chapter that is one sentence long.
I have almost given up on getting back the edits to the third section, which I foolishly paid for in advance, worse still it was an act of kindness that led me to do that.  How ironic and totally appropriate that an act of kindness will lead to a worse discussion of the fundamental foundation of the universe since the universe seems to tend in that direction, the more we try to do well, the more harm we do to ourselves and sometimes to others.  Does the sad outcome of my act of kindness not some how lessen the recipient?  Perhaps, perhaps not.
The cesspool of human endeavor leads us to advances in the creation of beauty and knowledge while it creates an ever larger pool of human, plant and animal detritus.

AuT-Calculus 3 of 6

Cyclical states of fundamental particles are hidden underneath vast arrays of information and offset, histories and historical modifications, the vagarities of information being cycled constantly from one state to another even within a ct1 state, but the cycle nevertheless rise out like shadows or reflections, cyclical weather, planetary rotation and circumlocutions, even in plant patterns and in gravity itself.

The basic sin wave function, slightly modified for the irregular development of converging series, but the approached average for AuT using the capacitance function is y=sin(1/x) + offset for the converging series features of the universe.  There is no left or right limit; but in AuT even the definition of sin changes with pi as the equation converges based on balancing at full compression which is a function of the convergence of pi and the divergence of the F-series equation.

In fact, the equation y=xsin’(xpi’)or xsin’(pi’(1/x) would generate similar results. 

Why use this function as a model?  Well for one thing, it reflects what we see.  If we look at a sin function from the side, it’s not a whole lot to look out. But if we look at one from the front with a rising amplitude then you actually see the universe after a fashion; it looks like the present, but hidden behind it is a record of the motion and events of the past; what is equally significant is the formula giving rising to the current amplitude requires that those prior amplitudes be generated because the current amplitude is built off of them.  You don’t see the prior solutions but they are built into the history of the solution.

If something is differentiable it should be continuous.  The equations that are differentiable in the universe may not be under AuT.  This requires some discussion:

If f is d at x0, the f is continuous at x0 or the limf(x) ans x-x0-f(x0)=0; but we know that doesn’t work as well where you cannot reach zero.

Lim(x-x0)[fx-fx0/x-x0]*(x-x0)

=F’(x0)-0=0 and limx-0 for x-x0=0; but this is not the case in quantum systems.

which is not true of the F-series algorithms because the definition that limx-x0 of f(x)=f(x0) requires continuity (it’s the definition of continuity) which is not present in AuT (or any other quantum system) which by definition is non-continuous) and other features which would define a fixed function (f) are constantly changing as a function of pi changes due to the number of places out we go; but it has a specific definition at any value of x.