Saturday, April 16, 2011

Quasic Notation for Braids and Dreads



Quasic Notation for Braids and Dreads

I got a little further on developing a better notation for my notions- and in some cases was able to use older figures and symbols in new light.

In the figure above I show that permutations apply but not simply to the notion of a quasic grid, either as magic squaring or projective space. But such a plane is not to be in itself considered anything but neutral of unspecified, perhaps n-dimensions to which such an idea of something like a field and its energy seems to be drawing our intuitions in from a more neutral idea of dimensions and space.

*1 A new notation for higher notions, whatever the style, is necessarily complicated up to the scope of its applicability. (see the linguistics link yesterday taken from Nature).

*2 The equivalence of notational form is not necessarily the equivalent of notions.

*3 Some words or symbols have a nuance maybe near a focused exact meaning.

*4 In the unification of parallel theories notions trump notations.

*5 A quasic plane is not necessarily dimensional nor an explicit representational dimension.

*6 When we consider the depth and span with the directions of expansion and contractions the intuition for formalism in topology points toward quasic considerations, at least in the finite, as the more continuous considerations can have an omnic breaking down.

*6 Partitions to any dimension in this Dready space may change.

*7 What plateau problem or hierachy problem beyond a certain point in general extending beyond the Galois limitations into real effects of general Dunkin notations, save these may be neutral or local phenomena?

*8 Are braids abstractly dreads or are there some physical "gauges, knots, fields in a dimensional hierarchy braided first in order but in a more general view are the same concept?

*9 Are there more abstract p-adic delta-n honeycombs flat and cyclic than Coxeters five level successively dual Euclidean ones?

* 10 There may be a concept here of something like a level of quasic energies.

*11 We consider the 2 by 3 or 3 by 2 ways to see the notation so quasic state expressed- including mirrors implied, and we note that within the 8 x 8 grid we have the extra properties relating to the Conway and extended Conway matrices.

*12 In principle a total flat and neutral ultimate symmetry is not the final description of these sorts of phenomena of natural space.

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By dreads I mean a slightly different term than my earlier use of it this year before the looping idea of braids came to my comprehension in the literature. That was a sort of literal braiding but between "teleoscoping" layers of the quasic planes, yet the color coding and use of them seems easier to see if they are at least a plane even if the alpha and beta axes are different colors.

I used little r sub n for representational dimensions of which these in a fixed background at rest may move between curve things as if point things, even a complex of them. The dh sign (Icelandic letter) combines the f motion functions + coordinate notation function. And th for "teleological" time differences. Which way from some cell to another may some function occur or move in its indirect and direct expression?

I do not know to what degree we may interprets braids or dreads as normally seen axes. But we can color code the grid layers as to natural dimensions- in which case I use the standard resistor code KBROYGBVAW... lighter tones of them as a mirror spectrum when needed.

I found my earlier yesterday process encoding by three letter signs cumbersome, not better than a simple picture drawn- indeed, even in candle making these seemed to always be broken down further if needed. Except a symbol for \sp\ span and \dp\ depth times exp and cmp... which do not necessarily have a relationship (and that sign is a small negative angle over a large negative angle as if an equal sign.

The ground cell of any quasic state array may also take advantage of different borders.


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