**PK-ons (Field Nets and 153 Matrix Element Fish)**

*L. Edgar Otto*

*06***Next Morning, nothing particular unusual in my dreams except maybe general sense of well being in relation to our ideals at least in the turbulent world, one that moreover bombards us with adverts and nostalgia and half dreams of truths in warnings of some half true or understood indefinite future.**

*December, 2012*
The second
illustration, and I feel a little remiss in the presentation and care of the
assignment of order and color so abstract if art but the engineering is the
bread and butter of some people who enjoy and justly get credit for the
effort. I would like to say this
originates with me, from some mysterious depth of genius or intuition- but that
does not seem the case, for in the search of my stock of drawings that I regard
as mathematical and stored if at all random or surrounded by files lost
somewhere in time, I came across the eleven triple circles of incidence. These this morning suggest to me something
like particle structures as if reduced to simplification of the 11 or 12
dimensions into three space.

Of course although I
have visited those files before I did not recognize or notice theses circles as
significant and yet for this way of relating and explaining highly abstract
realms in the coincidence of the idea of a number, of 11 in this case which does
seems to be what the physicists talk about to interpret their equations as if
some guiding property that is at the foundations of all such integer number
properties, I did recognize the utility for my current concerns of the products
of partitions and the cube unfoldings.
Yet I must confess that in the search and stumbles it seems as if to the
structure another hand was guiding me.
But how independent are we from separation or touch to such quasic field
products of absolute contiguity where we share a clear distinction with
others and within ourselves?

Let me coin the
words, for the art of it only, that imagines these shifted particle colors in
shifting dimensions, the little red dots of 14
I style

*Keaons,*and the field of three circles I dub*Pitkanenons.*The quasic product, perhaps the pattern like tensors of rectangular numbers involved, would be 11 x 14, that is 154, wherein on this level of combinations and space we may it is legitimate to shift, that is add one in the Eddington insight (to sort out the fives as does Dirac in the 12 colors Rowlands covers in his book) or subtract one, it does seem a foundational three way deal and often not only do some things relatively vanish they add one as a shadow in potential and abstract motion we can assert, as rest perhaps, yet not ground the dynamics or cause from within the theory. The 3+1 formalism. My search to have a well oriented Conway Matrix of 6 face colored cubes proves much harder than we suspect especially as we enter the 2+2 aspects of the formalism.
Does it really mean
anything to complicate our fields and particles by negative numbers of
vanishing as a falling out of some shift when we discuss the absolutes? How do we find the practical science when all
we can talk about is an elaboration of identities, of one, or what can seem to
us a lot developed from nothingness?
These "PK-ons" do not necessarily have Keaons which I call
that after Kea who worked with the 14 points of the associhedral of
Stasheff. And the circles I call
Pitkanenons because from what I can tell in his terminology, certainly from a
dynamic view that sets the wormhole mouths as material (massivation?) for
rather than the quark terminology he uses the idea of partons (I think he uses
it this way but the answer is the same as in my case long ago subdividing the
muons as you can find in my illustration of 1968).

Yet in any case his
is p-adic also and concerns absolute values also, in which case the general
notation of the PK-on models may be represented or simplified into distinct
circles incident or not to a line. This
surely has been explored from the continuous physics viewpoint and the
quasifinite aspect of it is independent of the infinity of this axis.

Without knowing or
making this distinction with the finite or the interchange of overt or mirror
subspace geometries and matter that seems the grounding of lesser theories of
everything we might set up alternative cosmologies, for example the Ekpyrotic
oscillating universe which does after all begin to deal with the nature of
interacting Branes.

But in the quest it
is natural not to be so sure of what we think and see- the clarity and
transcending our dream in the light of morning, as Pitkanen reports also, seems
to me after all the ground we gain, we curious creatures, as we explore
theory, and science.

In contrast to the
complexity of this theory in the illustration we find basic properties of
digits, some mirrored, and the addition hard to argue with in its
simplicity. Yet behind it as if we are
missing something we are taught early on, save going through the motions that
we in mimicry begin to understand monkey see, monkey do, such as the
significance in rapid arithmetic checking of the casting out of nines (but why
does this work?) For this quasi-numerology can be seen as some sort of formal
number theory- just as mysteriously or in some recorded fact of Greek
speculation on numbers carried over to the New Testament the Christ says cast
the net to gain 153 fishes of which it seems a maximum as if I catch these number
in the 12 by 12 net of the pattern holding grid- whereof by successive sums of
the three digits each cubed we eventually reach 153 again from half of all such
numbers, and do so at most in 14 steps.
Of course the sum of three cubes can be a cube. But other such
applications of powers over orthogonal sub-cells as dimensions and mirrors
awaits proofs that elude us still as well the needed more complicated
dimensional theory.

* * * * *

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