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Sunday, November 25, 2018

AuT and Euler's number, a reality check and an e-volving problem part 1*

I was up dealing with emergencies at 3 am this morning.  Going back to sleep sometime after 6 for an hour or two did not help much as far as I can tell, but I am guessing it helped.
I dreaded swimming or trying to swim or even thinking about swimming but fortunately it would be this afternoon before I could even consider that.  I surprised myself by doing 2300 yards, although it was the easy way, 1500 plus 800 rather than the other way around.
I also received a pleasant surprise, the number on the scale was an 8 putting me within 3 pounds (and change) of my target weight although it has been a very up and down preiod of weight loss and my stomach continues to plague me.
I am still coming to get you, and by that I refer to my target weight.
I do now have a print and electronic copy of the book available.
It is 103 pages long plus some blank pages.  On page 61 it addresses the double slit test anomaly in 5 or 6 pages which is addressed in short in this blog a few days past.
I ordered 10 copies, but they will not be available before the physics conference which is fine.
They do not cover the block chain, that only appears in the patent; but its sort of clear how that works.

RT: Earth to be battered by ‘dark matter hurricane’ for next million years. https://www.rt.com/news/443845-dark-matter-hurricane-earth/

If this represents an area where space is headed towards a compressive state (a net pre-time effect like charge) then it might fundamentally change physics, perhaps giving the impression of anti-entropy, but it can also change in the intervening millions of years as could our system change places.

Today, however is about math puzzles and their solutions; this one in particular tying an evolving numerator to evolving curvature using e not just as an irrational number, but as an interest generator, the kind of thing that might be of interest to an account or tax lawyer.  How is that possible?  Prepare to be amazed yet again by AuT and its connection to observed mathematical forms once quantum elements are inserted.

That is one of the beauties of AuT, it explains things, it does not just observe them.  The explanations are not as grand as they should be and the impacts are more fundamental; but aside from this unromatic effect. AuT is what it is.

Let us talk about e.  e=1+1/(1!)+1/(2!) and so on.
This can be written as sum(x approaches infiity) 1/1+1/(x+1*z(x) where z is the factorial of the x-1 or merely the prior number in the zfunction series a memorized solution like the solutions making up the fibonacci number.
The fibonacci number can be written as f(n)=(x-1)+(x-2)
The idea is that 3! is essentially 2!+3
This defines a relations x is the same for fpix and e (1/[x+1*z(x)])
Let us review the denominator of pi for a moment (fpix):
([-1^x plus 2x(-1)^x-1]) =fpix as x increases.

Sin and cos can also be defined in terms of pi:
siny=2*y/(pi-1^(2n+1) where pi is an infinite series for different values of the numerator.
and they can be defined in terms of infinite series of numbers related to e:
sin(x)=x/1!-x^3/3!+x^5/5!-and so on or x/1+sum(n=1 to max n)(-1^n)(x^2n-1/2n+1!)
cos(x)=1-x^2/2!+x^4/4!-and so on or x^n/n!+Sum(n=1 to max n)(-1^n)x^n+2/(n+2)! as opposed to fpix which is as set out above a function of -1,2 and x.
e^x=x/x+x^2/2!+x^3/3! and so on


Adding sin and cos together give us the abs e solution:i.e.
cos(x)+sin(x)=1+x/(1!)-x^2/2!+x^3/3!-and so on
The abs value of this combination is e^x.
Sin and cos are related and convertible.

The compression function; wf(x)^2^x corresponds initially to the cos (x^2,x^4) and the hinge function; 2f(x)-1^(2^x)-1)) corresponds initial to the sign function 3^x^3;5^x^5.

Let us talk about the traditional treatment of e (euler's number) and let us look at this as follows:
e^ix=cos(x)+isin(x).  This uses i which is sqr(-1).  This is a misleading formula.  Why?
The cos of y at pi=1; the sin of y at pi is equal to 1.
This means:
The graph of cos(y) looks like the graph of an even exponent.
The graph of the sin(y) looks like a graph of an odd expnent, albeit tilted at an angle.
e^ix=coss+isin(x)
The relationship of these leads to this (euler's identity):
e^ip=-1 +isin(pi) or e^ip+1=0
This is misleading.
Why?
First because pi has a set value for any value of curvature and hence there is no such exact value of pi.
The short answer is because you can get a result with i, but you still need -1.

2^n is double growth (it doubles every time x increases).
As you average this, you get to euler's number down to a minimum number of changes, or the quantum number of changes between the two states.
This give you two values.  One is the absolute growth rate where you have compression.
The second value is the gradual growth rate split over the number of points involved which is a fixed value for the euler equation (from 1 to a fixed number of changes).  The first can be seen as compression, or the number of folds.  The second as the number of ct1 states between the two, thereby relating e to compression  and hinge states in the manner taught above.
This is compounding of interest but it is in this case it is compression)
compounding interest: (1+1/x)^x where x is the number of periods where 100% growth occurs
e^rt (rate=r;time period=t) The rate may be 12%/year and the time period may be 2 years, for example
e^ipi=1+isinpix where sqr(-1) can be thought of as rate or time periods and pi can be thought of as the other).
Let's look at the two choices: pi is a ratio and therefore fits well as a rate and that leaves sqr-1 as a time period.
The only common feature with AuT is information.  Information is a value that derives from -1.  In such a case the number of periods can be thought to derive from the number of times -1 is effective.
Pi becomes the rate for the -1 time periods and this rate varies for different compression states and therefore fits very well as the factor by which the numerator, the number of information bits at a time changing together, arises mathematically!  The numerator is tied directly as a rate function to curvature through e.

To understand this we have to look at what separation looks like where dimensions don't exist.
In such an event separation is an absolute and not a positive and negative variable.
To look at how this arises, let us look at an old chart:

Now let's talk about the back door to euler, the limit equation:

(1+1/n)^n=e as n approaches infinty.  This is the back door approach to e as it were.
Since AuT holds that n is a fixed number for any compression state, pi, sin, cos, and e are all fixed; but there is a difference in value to e depending on whether it is approached from the front, the infinite series or the rear (the equation above: 1/1+1/(x+1*z(x) where z is the factorial of the x-1)

These relationships allow for the totality of dmension and space to be reconciled with a single series along with memorized solutions and effects.





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