Itot=0
sum(from -inf to inf)I=0
sum(from 0 to inf)I=inf
sum(from -inf to0)I=inf
sum(0to inf for n)I^n=sqr(inf) [?]
sum(0toinf for n)I(x)^n=inf
(sum(0toinf-y for n)Ix^n=inf -(y) where y is the difference between infinity and x
End part 1 STR
y may be rewritten as follows
sum(0 to inf for n)=Ix^n-y *Ix^y
This in turn my be extended for other elements as follows
Ix^n=Ix^n-y-z*Ix^y-z*Ix^z
sum(n from 0to inf)Ix^ndn
Those who are reading this, might wonder what is the purpose of the simplistic analysis being built up here and whether there is any reason to consider it. The answer is that this is absolutely one of the most important thing about non-linearity. The suggestions are much more significant than they appear from their simplicity.
First, it is accepted in this analysis that zero is not nothing, but is instead the sum total of all things in a non-linear environment. In a linear environment, it is suggested that zero may not exist at all, but the suggestion that linearity is only a force like any other force (gravity, electromagnetic, etc) raises the possibility that our universe is part of something that can be determined from an examination of what we previously thought was nothing but is the sum of all things in two or more directions.
Such infinite zeros make sense in an environment where all things are non-linear.
In a linear environment zero may appear to be a random location, as with a line on a graph where one mark is the "beginning of either positive or negative linearity. negative--------0-------positive. Non-linearity information theory suggests that everything comes from nothing and that nothing is the sum total of all information which makes zero, nothing something much different from what we are taught in grammer school.
The idea that zero, as magical a number as it is, could be something so much greater than what we perceive is not at all inconsistent with math, however. 1/0 is infinity, after all. This suggest the following equation:
sum(i) from 0 to infinity is 1/0. One might suggest the correction equation would be the sum (of information) from negative infinity to infinity=1/0; however, this equation, has the alternative of meaning that 0=1 which is not likely.. The former equation has an equally unlikely outcome since it suggests that 1=0*sum(i)from 0-inf.
This zero, of course, is the true zero. Many are confused because we "re-use" zero in our base 10 system to restart our count. 1-9 in a base 9 system should restart at 11, but instead in our base 10 system 11 is replaced with 10. The zero is re-used and hence from childhood those of us who use this numbering system are confused about the difference between zero and the place marker of the same shape and size but which is otherwise irrelevant to the discussion.
Even the zero used in graphical analysis is an arbitrary point where linearity already exists and has already limited its scope. The true zero in absolute mathematics is apparently non-linearity of necessity. The features of zero that allow it to function are the features of non-linearity.
There are, therefor, several "zeros" in math:
1) The least significant is the one used as a placemarker after other number to quantify base 10 numerics. 0, 10, 20.. 100, etc. This is not zero at all, it is just re-using a symbol for multiple purposes.
2) The next least significant zero is the one used as a starting point in linearity. 1+0=1, 1-0=1, 0-1=-1, etc. This allows graphs -----0-1-2-3-4 for example from a common point which can be placed anywhere since it is only important from a relativistic starting point. Non-linearity has an absolute point of zero-no time and no space. This is not the same as non-existence as discussed in more detail below.
3) The more significant zero is the one used in multiplication and it has some, but not all of the features of non-linearity. 0*1=0; 1/0=infinity. If you have zero of something (none of something) you have nothing. The concept of nothing that this represents, however, is wholly a creature of linearity. If you have everything in a singularity, there is not the possibility of none of anything that exists withing the singularity. There are philosophical nothings (zero non-singularity inhabitants, for example; or zero linear moments) but in terms of the "contents" of linear existence, everything is there. Even all of linearity is represented although not being linear it provides no clear point of reference, at least not yet. While one might easily assume this zero to be the same as the non-linear zero, it is not because it exists in a non-linear environment. It can be said to the the point of singularity applied to linearity. The examination of this point of reference in the coming sections will add significantly to the understanding of non-linearity in a most discomforting way.
4) The final zero is the zero where change is stagnant. dt=0 is one designation, but this assumes a fixed point. Instead it is better represented as the point where the sum of the change of all coordinates is nonexistent. Sum(d(all coordinate points))=0. You will note that not a single point is lost in this equation. There is no multiplication which results in the coordinates being lost, only their change is non existence. As any coordinate changes, zero loses its absolute quality and instead becomes the zero of item 3.
To test this, let's look at a couple of simple equations:
zero/zero=1: Normally any number divided by itself is one, but this would make no sense if zero was truly nothing (instead of the pre-linear state). For if 0/any number=zero, how could zero/0 not be equal to zero. However, if zero is all things, just without linearity then zero/zero could be one and zero/any number=non-linearity/any number which if not zero would be very difficult to rationalize in our way of thinking of the universe.
Let us look at this: zero is the sum of all linearity, that is all change either positively or negatively in the universe. it represents a non dimensional storage with all the information relative to a mathematical whole. It is so large that any number from within it effectively becomes zero based on the size, but that is not why the equation works. Zero is non-linear. 1 is a linear expression. +1 or -1. Linearity and non-linearity do not equate because one is the absence of change and the other is the expression of change.
We must continue if we are to understand the relationship, but now we have entered into the realm of what we've been discussing all along with non-linear time. Linearity and non-linearity, change and the absence of change. The number of coordinates changing at once can be seen as multiple axis extending from non-linearity with one exception. Two coordinates may change along one axis while none change along another and still get an expression of ct(2).
In this way, even with only one axis changing, it is possible to experience time as long as two coordinates change at once on that axis.
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