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.
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