Bogged Down in Higher
Arithmetic
(Breaking thru the
Marsh Gas Swamp)
L. Edgar Otto 15 January, 2013
My two unsolved
problems have been instructive for many insights along the way in understanding
systems. The first was my teleoscoping
ordering as a linear dimension for the thematic connections between
four base codon systems. In the plane
quasically ordered the telescoping seems capable of description by layering of
regions in the plane but we know the information in the plane is equal to that
as its square root at its boundary.
The second problem
was what particular patterns or structural systems exist for projective
analogs of color matching cubes and their enumeration into higher
dimensions. I recall this morning seeing
the cover of Scientific American where it showed the Graceo-Latin square of ten
by ten elements announced as solved, some years ago- I do not know the status of
this problem in higher cases but I have already extended my grids beyond that
so am not sure how this may change my general methods as if a swamp land (and
in the Slavic Bog translates as God, the Marsh an important concept in the
Chinese binary divisions, and in our time the idiom or phrase that what we may
see of UFO aliens is some trick of light involving the atmosphere or marsh
gas).
I am in a strange
place off line- having the old coffee shop computer I can get more done at home
before the time allowed was taken up by the writing on line or the translation
from the old technology- my ink and paper.
It would benefit if I had direct access to Google things as that takes
up time allowed thru the access at the public library if I think to look things
up- I usually Google my mind first. The
very use of computer programs touches on the methods of these unsolved problems
like the trivialities too obvious almost to state, of counting and of
pattern recognition.
In the color
matching, including the possibilities of those of higher orthogons listing the
greater or equal to four axes and the shapes and articulation of folding or
unfolding them, this and the general idea of Eddington's fundamental theory
concerning the fine structure constant (the quasic idea one of generations of
particles thus the one fourth of such an analog to that constant ) , and all
the ideas concerning matrices in general or the magic squares, the main
diagonals as a merger of colors into groups of neutral gray or vanishings and
masking of a sphere or brane region (as if to see the logic of it we need x-ray
vision that hopefully does not disturb the ordering of objects observed,
I considered the
obvious moving of a quarter of the total grid of so many generations over the
compass of all the grid that we align each pixel region (which can be a fixed
origin of the quasic plane or a class of branes in itself) to combine the
colors where all are present at such a point.
This most likely enumerates the possibilities of color matching but I
have not formally addressed all the cases.
In my notation the bi-color letters B O G are red-yellow, blue-violet, and orange-green, which I
picked at random for the illustration and it gave me the poetic theme for this
post title. The transparency of the
paint program close to the logic allows such logical stacking that concerns
itself with those raster symmetries possible of which the staring into the art
of it may seem to be concrete or fanciful illusion. This itself a question of inversion, and the
odd way to order things that the inversion of a single axis may invert the
sense of all of them if viewed from outside to a symmetrical center.
While I understand
the directions of vectors in four space shadows and the 30 edges of intersphere
elements for a polyhedron, there is a sense that to understand four space one
must imagine having six hands, three right and three left. Will this method in the illustration solve
the problem and should we investigate it further in terms of the information
content of the coordinates and definitions, giving us a sense of the unity of
the whole ( it seems these problems here solved synthetically as hints and
promises is after all key questions underlying particle physics and issues in
number theory's that bog many down and keeps the breakthrus cloudy)?
I still get the sense
these quasic pictures give us a wider general view of such problems that speeds
up and makes easier our application of awareness over the algebra alone to
which many are adept as formalism only or not if indeed these are equivalent
methods- but there is little doubt that this birds-eye-viewing readily shows us
where in the listing of programming or the order of algebra labels the
pattern of things so organized and applied as our viewing may readily
show us choices otherwise difficult to solve in linear pathways.
I am not sure how
this connects to the obvious expansion of the technology, the new HD tele for
example apparently in a parallel view of the ubiquitous logic quadruples the HD
screen pixel dimensions (does this not come closer to the sense we are in that
space in the viewing of things in three dimensions as we adjust our right and
left colors of the old extreme, the space of colors for holograms, until it is
felt we do not need such unifying or partition of mirrors as they lead the
structural organization thru our mind's eye?).
Symbolically, the
joke goes as we round off the binary of 2048 to 2K, that the computers crash in
the year 2000 but 48 years later (that is if Netscape or Microsoft is right
about where to start as the first pixel of the year one or zero). The question now is with so many generations
as a possible limitation of patterns as we build the idea up, will the world
end or the computers crash in the year 4096?
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