AuT-corrected spreadsheets on sin and pi

I didn't have enough coffee for even a full half-cup this morning.  I was up at 5 am hopelessly trying to go back to sleep before giving up.  I think about getting another cup of coffee on the way to work, but know I cannot.
Today looms before me a fairly uncertain day.
Well, it is now far into the day.  I'm bored in a seminar, so you get the benefit of the breaks to obtain this finally corrected spreadsheet info.
I fixed the whole spreadsheet thing, no huge changes.  The main insight I have at the end of all of this, is that you have to be careful how far you go off on tangents. 

So, one thing I did do is fix the spreadsheets and I did not see everything I wanted, but I did see some interesting, often confusing numbers, ratio and other issues related to curvature.
Rather than attempt to explain the mistakes, which may be worth a lengthy discussion,  I'm just including the complete updated discussion. 
The errors were subtle, so much so that the outcomes are not substantial, but nevertheless important.  The don't matter in the end, but the spreaadsheets today will differ slighly from those of last week and as you read through the information below, you can try to figure out what the changes are if you are ocd and if not, just forget the discussion that preceded this, lol.
One key to this entire analysis is that this discussion is instructive, but not critical to the broad purposes of AuT. 
AuT is based on a single variable algorithm controlling all of space time.  In defining this algorithm, we start at the observed phenomena and then dig down to the origins.
As we dig deeper,  part of the search is for (1) The -1/1 transition which give rise to compression and decompression in the dimensional manifestation of the universe and (2) shows how dimension arises from non-dimensional states and in particular from -1.
Indeed (3) x^-1 or 1/x gives rise to the net curvature and part of this discussion was to find where that curvature arises.  
The pi equation is a function of -1 and how it changes from state to state.  Since positive and negataive states exist together in AuT, the net value being critical to the localized state, how pi varies and how curvature varies is worth considering and it is considered here, ad nauseum, but still not nearly enough.
The sin equation has two variables, y and n.  Y is a variable based on the angle under consideration, n is in infinite series number running from 1 to infinity (or under AuT to the amount of information in a given compression state) which yields a state of curvature.
2*y/(pix^(2n+1) is the net equation.  Pi(x) varies with n and defines the important pi variable relevant to inquiry under consideration. 
What is critical to AuT in this can be summed up succinctly.  Because pi varies with the number of simultaneous coordinates being solved together,  curvature varies under those cirumstances.  
It is theorized that curvature is localized and that the common solution of ct states necessary to define compression has to do with (1) proximity and (2) positive/negative state and (3) state of the points in proximity.  What these equations show most obviously is that dimension can be derived from non-dimensional features, but they are not tied together at the supersymetry level which is one of the main goals of AuT.
        By way of example, whenever two or more lower states are solved proximately together, in the same way (polarity), and in sufficient concentration, AuT indicates they will jump to the next state, but they also show that in lower quantities under the same circumstances, they begin down the road for each of the 2^n steps toward full concentration and solutions within this stepped approach appear as force.  State is constantly changing so that only quantum solutions allow for careful observation, all other observations work based on averages or net values within a location and is necessarily uncertain and has apparent randomness associated primarily with states changing polarity on a qunatum (low state level).

          AuT says that the universe arises from alternating compressive and decompressive mechanisms originating from a dual state form represented by -1^x in Mathematics and one element is F(pluspix) (the number that gives you the pi denominator; -3,+5, etc) change converges as a percent change on -1. [-1^x] plus [2x(-1)^x-1] and for purposes of curvature we add  2*y/(pix^(2n+1) all of these numbers changing with every change in x (the single variable) with sequentially longer solutions of carriers controlling the state as positive/negative; compression; etc.

          Ratios with higher states based around the related dimensional characteristics gives rise to (1) first dimension and (2) dimensionally recognizable forces and (3) material manifestations.

          The first ratio is the dimensional definition comparison of Pre-space phenomena with spatial phenomena.

 Above is solved for pi(0)=pi(-1); There is no “technical” pi(0) because of division by zero. The value of y used is 32/27/8 for reasons discussed below.

  This second version is the same, except that y is 32/27 for comparison purposes.
                Pi0 and Pi1 are derivations of pi for different compression states of information and the resulting sin ratios of 1:8 are important relative to how curvature arises as compression occurs from the level "pre-space" to "space" to Photonic states.  Pre-space solution do not have positive solutions, Space states have proximity;  photonic states have polarity differentiation.
     Pi-1 and p1 have a unique relationship beting non zero, space states, negative and positive space as it were, they are capable of proximate solution and also alternate value.
      The 8 to 1 variation is from 0 to -1 or 1, to -8 or 8; rotation about pizero where pi0 does not have proximity separation and cannot, therefore have dimension.  
To get to a quantum number, the value of y as either 32/27 or 4/27 is a critical ratio because only qunatum states are available here because division of information between -1 and a fraction of -1 is not allowed in a true quantum equation.
     Comparisons allow for solutions to be simultaneous relative to lower or higher states which allows for the non-qunatum divisions that are illusory, but experienced in high ct state compression such as the ct4-ct5 leve where we live.
     The key ratio 32/27 is reflected in higher information states, such as photonic light, wave energy, matter and black holes.

          You can get from 8 to 1 by changing 32/27 to 32/27/8.  It is important to note that sin, like pi, is a converging series, so only at pi0 and pi1 does it make sense to look at the quantum values overall, but the higher states reflect the same ratios.

          You get the same result at pi3, the derivation is equal to the quantum factor, the 8:1 factor continues with variation as shown in the last column. Sinp3/sinp6=8. The number of places you skip to get the 8 ratio increases as shown skip 1,2, 3, 4,5,6,7 etc. which is not relevant except as a source of higher state quantum changes.

          Pi(x) refers to pi for different values of the “place” in the F-series (1,11,111,1111,etc representing one, two, three and four places corresponding to the compressesion state as ct1,2,3,4, etc).

          Pi(x) is defined as f(pluspix) as a sum based on the maximum amount of information (x is for practical purposes equal to infinity at the level of compression where we live, but this varies in space) Pi= N+(from 2 to max x)N/F(pix)] as defined in more detail in the four books covering AuT, but is basically defined as (for -1):

The more familiar formulation for ct4 is:

 

What we are primarily looking for is the relationship that is preserved in the F-series equation (f(n)^(2^n) or some equivalent for the carrier which can transform for higher compression states as is observed.

32/27-This preserves the value of “8s” where every transition is 8 off from a “related” transition.

32/27/8=4/27-This does not preserve the value of 8s which is lost in favor of a quantum change and a numerator closer to the F-series compression state we are looking for.

Pi is defined in terms of -1 and quantum change until a F-series “place” is introduced at f/f(plupix), in the example shown for pi=-1 and pi=4.           The conversion ratio for quantum phenomena (1.185 or 32/27) yields the subsequent compression state for all future Compression states.            32 is 2^5.  27 is 3^3 so you get this result:           N^(n+n+1)/(n+1)^(n+1)=ratio of siny(pi1)/siny(pi0)           The effective ratio is: N^(2n+1)/(n+1)^(2+1) This can also be written: n^(f(n))/((n+1)^(2+1)) for n=2 Using the logarithmic function (the opposite of raising one number to the other) to get f(n) out: Log(b)x/y=log(b)x-log(b)y           Log(b)(x^n)=n(log(b)x)           In this case that yields f(n)(log(b)x for x=(n+1)^(2^1).  In this example, obviously, 1 can be replaced with n.  In other words, the equation is f(n)log(b)2^n.

This is 2^2/3^3; a more elegant number, but not necessarily better. F(1)=2; that is the Fibonacci number for 1 can be 2 or 1 (0+1 or 1+1).  0,1,1,2,3,5 shows this where the F(n)=the sum of the 2 prior numbers. Using [2(f(N)]^(2^n) form to get to 4 you have 2(f(1)^2^1 and f(1) has to equal 1.  This form, however, allows for the preservation of the F-series number. An alternative is 2(f(n))^2^n where n=0 and f(n)=1 (0+1)*.  There is no other place F-series analysis where you get this alternative result. This provides a sound basis for the numerator, but less sound footing for the denominator, but this is a ratio number. It can look something like this n^n/(n’)^(n’) or n^n/n+1^n+1 These are not minor distinctions, much as they appear to be because (1) they are preserved and (2) the represent the derivation of dimension from a pre-time/dimension space. *Note: There is a third alternative where instead of 2(f(N)^(2^n) you have f(n)=2 and it is f(n)^2^n but this does not appear otherwise.

         

         

The early features of AuT are based on -1 or 0', an information based system.  which is extensively discussed in book 2.  0' evolves or "becomes durable" as solutions.

          First, 0' yields a non-information theory based result.  Information arms are information theory based entities that arise from the 2x+1 where x=either -1 or 0 creating positive and negative carriers based on 2(fx) or 2(x-1+x-2) summed over all the values of n from 0 to infinity.  Note that instead of 2(fx), fx can be defined as x+x-1+x-2 and these are past Fibonacci series values of x as opposed to 2 times x in the other part of the equation.

          The exact mathematics change slightly after this because the way in which positive and negative (compression/decompression) states are combined is not perfectly determined unless you make an assumption about how the fundamental carrier is defined (f-series, fpluspix, value of x, etc).  Also, while net values are believed to control for higher ct states, at ct1 at least, the change between positive and negative solutions when solved in proximity lead to a breakdown of the solutions at that point even though averages lead to solutions as inflection point solutions, averages which eventually reach curvature points but which maintain their basic featuers (lest all electrons look different-they are all different in position) until an inflection point for the entire ct state changes, at least in terms of suggestions based on observations.
      AuT almost requires that no information is destroyed, because that would mean a mathematical result became less durable which is not experienced.  Matter and antimatter don't annihilate each other as supposed by the primitive pre-AuT thermodynamic theories, they merely break down to space which does not abhor the combination of positive and negative in proximity and why should it?  Indeed, the existence of anti-matter in the universe suggests that proximate solutions with space do not affect matter or anti-matter, otherwise, we'd function very differently.


There!  now you are all caught up.  So let's get on with the other parts of this group of posts.


The backwards paragraph:
This suggests that all forces (in this case photonic force) arise from the “carrier potential” of the next higher compressive state which appears likely given the pre-photon nature of magnetism and nuclear forces.  

This may have been there earlier from out of door in the holyland but it talks about symmetry so I'm including it in this section

There was something suggestive and potent in that phrase, "satisfactory ruins." For what is it that weaves the charm of ruins? What do we ask of them to make their magic complete and satisfying? There must be an element of picturesqueness, certainly, to take the eye with pleasure in the contrast between the frailty of man's works and the imperishable loveliness of nature. There must also be an element of age; for new ruins are painful, disquieting, intolerable; they speak of violence and disorder; it is not until the bloom of antiquity gathers upon them that the relics of vast and splendid edifices attract us and subdue us with a spell, breathing tranquillity and noble thoughts. There must also be an element of magnificence in decay, of symmetry broken but not destroyed, a touch of delicate art and workmanship, to quicken the imagination and evoke the ghost of beauty haunting her ancient habitations. And beyond these things I think there must be two more qualities in a ruin that satisfies us: a clear connection with the greatness and glory of the past, with some fine human achievement, with some heroism of men dead and gone; and last of all, a spirit of mystery, the secret of some unexplained catastrophe, the lost link of a story never to be fully told.