Sunday, September 30, 2012

Lost Earth and Vector Landscapes

Lost Earth and Vector Landscapes

L. Edgar Otto   September 30, 2012

From the foundational view much of the mathematical in mathematical physics can can be understood beneath the identities involved in applying matrices and linear algebra which has in the working theoretical world extensive shared terminology. 

As for a picture of how this works, at least in the low dimensions, the grasp of it with the slightest hint of the mechanics and possibility of interpreting the mechanism is an achievement that brings us close to ourselves and that identity and what of the subjective and objective grounds the world.

Lost Earth is a game I imagined which as a knot or maze in a wooden box that the path cannot be seen from the outside.  A small blue marble can enter it from two sides and the idea is to turn the cube in its positions to get the marble out of the other side thru the right angle turns of which the chances in general are determined for solving by the geometry (or stereonomety) alone.  In a more sophisticated path we can of course have a laybrinth wherein entry and exit points can have different difficulties to negotiate and begin solutions from one opening to the other.

Research on very small mazes is being developed so that these principles allow the slow release of medicines over a wider period of time. I can image the mazes within mazes for a more accurate relationship of levels of action, release of chemicals physically, much like the range of Japanese ink in beads of glass with beads of glass within them.

So a simple mechanical device can achieve the realization of what on the face of it seems a complex case of organic structure and uncertainty in the quantum considerations.  But I suggest, at the foundational assessment of the matrices the same general stereonometry applies subjectively to arranging say 15 objects placed in a triangle to see how these are related symbolically as to the interpretation or solution to the puzzle of arrangement as if there is a unique one or of all solutions the totality may have a clear pattern.

It is not enough to merely relate the identities of the twists and turns of coordinates in a matrix by the general statement of trigonometry identities to grasp the view of foundations.  For as with our present mathematics in the unity, in one, we have the singularities arise between infinity and nothingness of which we tend to work outside the limits for what we explain.  These principles certainly apply to our unique ambiance or bonds of belief and the general mechanisms of learning real or ideal objects such as numbers not committed necessarily to their independent reality.

Experience as experiment may not be enough for we determine what is a given pattern or matrix in a particular arbitrary case of a structure.  In the Lost Earth it is cleat that if we pay attention to the sound as we turn things, that is probe the cube with a sense of touch, this would be a clue in a maze to the sequence of directions needed to solve the maze.  Of course we can X-ray the box or any such applying physical objects to see by frequencies passing through it what is the state of the blue marble.  Of course we can also saw through the box, open it to access the state of things if that does not change or destroy the pattern by doing it. In this sense the direction and idea of gravity has a stereonomic effect by which it seems independent of all other forces quite beside the issue of what in such forces are continuous or discrete.

In this sense a base of numbers, such as that of ten digits, works well on any tenth power of some value such that with a general relationship we can summarize in small tables any tenth power say of how to assign the radio spectrum waves.
Thus the arithmetic has a general, floating coherent basis or pattern.  This ability of nine or ten things justifies not only the duplication of counted structures reasoned by the idea of shadows of structures as complex spaces but of the tenfold applications derived ultimately from four space and golden lengths in it when focused to some central coordinate.

Nothing forbids the table of numbers times numbers nor that we may not distinguish in a topological pattern a point of vast divide between one and two sided surfaces.  But it is not quite enough for our understanding of how symmetry and dimension, how patterns are available to form and how the action works.  Nor enough that we try to contain such vast changes in pattern by algebra alone or by just finite numbers.  After the identity of algebra and geometry comes a more foundational relation that grounds them beyond the idea of the frontiers of new mathematics especially if we just apply the idea of logarithms and natural bases that ultimately define this identity of our two evolved procedures.

Without making a statement on eschatology as the interpretation of the number 153 as the maximum number of fish held in a net (from the New Testament) I ask what sort of frame or net can catch the maximum number of prime fish.  We can say for example in the Bible, most likely formalized by the Greeks, there is a lot of number theory for 153 if the digits are cubes sum to 153.  What then does the literally taking of the permutation of those digits mean as a number pattern say multiplied by 100 - or are they just a trivial property of numbers moved around as if a pointless exercise of computation in search of a wider theory?  But can we not ask the same thing of the sentience or subjectivity of our system of symbols as to the grounding of what is certain in a pattern as meaning?

For the golden ratio times ten squared minus 153 is nine, and in the illustration we find the pattern foundational principlles multiples of 81 or twice that.  The one or two thirds of things as if on a parallel diagonal of a matrix of decreasing elements less than 17 times 81 of four space as if again in this top matrix of beastly primes these act as prime though composite - in particular their products are combinations of 153 and the relation of such combinations tend to be compliments or co-compliments in the directionality of the realization of the assumed action from the state or stereonometry of these prime class like numbers.

The of course add up to the 'Beast' or 666 in the lore - and while 777 or 888 is the metaphor for the Christ we find here the significant 999 as the beginning, without zero, of what happens starting with 9 dimensional space.

Intuitively it is clear that of what we are seeing here is the digits as not just power cubed but rather as a relation of geometrical cubes in space.  As three space moreover the permutations certainly mean that we may find significance in the idea of 3+1 or 2+1 (that is 2x2 from one view or even 6x6) in the presumed equal grounding of the quantum realm.

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