| The INTEGRITY PAPERS |
Mathematics Group |
ceptualinstitute.com |
Dimensional / Environmental
Emergence of Complexity |
The diagrams you will see here represent the principle
mechanism of how complexity arises in the universe. There are other related
dynamics and mechanisms (fractal, eg) but this is the most important one, for it plays a
direct role in every level of existence you are familiar with. It is how you
function in the world -- with the world -- physically, mentally, in all ways.
This doesn't mean we are "mechanical" beings, I don't want to give that
impression. It is an instance/model "snapshot" of a rich and full dynamic
process. Like a picture of rivers. The waters have power and
grandeur. There is felt energy in the flowing, nudged by gravity toward the
oceans. There is also tactile energy found in the refreshing sustenance of waters
swallowed to quench a thirst. There is the cycle of sun warmed evaporation, which
brings beads of Gaian perspiration from the oceans, back to clouds, to mountain tops, to
snows and rivers of the future, in rhythms of renewal.
Enactments upon enactments of plural coordinations -- of the one simple
relationship discussed here: "interacting entropies". It is
the main (of several) techniques that existence uses in the enactment of
communication and potential . . . the "real" and meaningful aspects of Being . .
. that builds Complex organizations.
Another way of relating to it is to think about
automobiles. Autos are used to get us to market, so that we can purchase food, that
we bring home to sustain and nurture ourselves and our families. We don't concern
ourselves with the machinations of pistons, or energy transfers, or other workings in the
engine or drive train. We don't keep count of valve movements or gear
ratios. All those things are important . . . but primarily in that --
when enacted smoothly together -- they enable us to do other things in life. Just so
with discussing this particular "mechanism" of Complexity. It may or
may not directly impact your life, or how you choose to do things in the world, but it
will give you a more complete insight into what is going on inside you, us, and all
around. The relationships that are abundant in your lifespace.
How what you do impacts and affects others. Sometimes in small ways,
sometimes in large. We are not existential isolates. We are a marvelous
plurality of extraordinary behaviors. Important partners in a thriving
communicating universe.
The larger spheres represent any two (or more)
entities which can be assigned a distribution value in time and space. That spatial
and temporal distribution corresponds with an "entropy" value for that level of
structure. The smaller spheres represent subordinate factors which have a
conditional existence in relation to the larger spheres. Such factors may be absent
from the larger system. They may be pertinent only to one member of the larger
system. They may be present over significant space and time durations, involved with
several members of the larger level. They may even be quantum bootstrap events,
in which minute particle-pairs stabilize to become nodal regions in which other
entities and informations become sub-ordinate. No matter what the case may be, most
important is that base subordinate factors can be assigned varying temporal and spatial
distribution values of their own ~ entropy values distinct from, yet
interrelated with, the entropies of the larger order's membership.
The smaller - "inner order" - entities can
be anything . . . money & materials distributed in commerce. . . items tossed between
one/several jugglers. . . a ball in a football or baseball game. . . electrons passed
among atoms. . . words, ideas, glances,shared in conversation . . . gravity passed
between masses . . . . . the specific entities can be anything --
as long as there is interactive relevance among a subsequent assembly of organization.
A entropy large = R /
A
entropy small
assembly
assembly
The entropies are opposite in
gradient. As one gets larger the other gets smaller, and vice versa. As long
as the probabilities of distribution of the sub-system among the larger agent membership
is greater than zero, Complexity exists, and the relationship holds.
A This symbol (meant to be a large Greek letter Pi) stands for the
multiplicative statistics
function { a x b x c x .... n }. In this formulation, any denominated component (in
the small entropy assembly above, for example) can go to "zero" probability,
but, rather than force the entire denominator function to zero also, merely resigns its
presence. The remaining factors maintain the impact of enforcing Complexity on the
large-assembly referenced on the other side of the equal-sign. For example, in
any group of players or teams involved in constituting a complexity called
"tournament", any one or several may resign or be removed from further activity,
yet "tournament" as a complexity still exists, as long as competition, or its
potential, continues. Once all potential interactions or games falls to
"zero" probability, the complexity ends. It may be reconstituted as other
conditions allow, but for the current status, it ceases.
The behaviors (distribution actions) of the larger order are
affected by the distribution (behaviors) of the inner order. Complexity arises
in the universe as a direct consequence of this phenomenon. Complexity is the result
of communication probabilities "greater than zero" among membership of
plural-bodied systems.
What
binds unconnected activities into coordinated behaviors is having something in common, active sharing, where one member is responsive to other member(s) because of something
communicated amongst them. You might say that it is mutual (continued) enactments of
Newton's 2nd law of thermodynamics (one half of the presented model).
The simplest example is when you do
something. Someone or something in the world is the recipient of that act -- the
energy you enact goes somewhere, does something. For however brief or long, or
for whatever importance, you and that recipient can become bound as a
transient or as a more permanent complexity when it
enacts a return communication that causes you to receive and respond -- act or
behave in some way -- that you might not have, had the communication not
occurred. Your behavior space potential is altered by the interactions (the "Heisenberg
Intersections"), as is it's. Simply put, complexities arise instantaneously when the communication
potentials are non-zero. Conversely, binding and complexity are lost or ended
when any one of the transfer potentials moves to "zero". It
does not take massive iterations of a looped process -- the requirement stipulated by
fractal complexity algorithms -- to enact primal complexity, it merely takes a
recursion scenario . . . a binary (or more) pattern, an action/reaction, a
quantum superpositioning, and even the orthogonal binding of electricity and magnetism.
Increased di
stribution
(entropy) of the communication(s) corresponds with a focussing and negentropic binding -- reduced and narrowed group of behavior potentials --
of yourself and the first recipient. Of all possible
actions/responses/behaviors you are capable of in your life, an interaction reduces,
narrows and focusses the behavior field to just a fraction of the larger potential.
All things
considered, we deal with what we are confronted with -- both in fact and in
potentia. And, we respond with whatever our
structure and skills and knowledge and relationships and conditions allow. Be we
atom, molecule, cell, plant, mammal, member of society, corporation, country, or Gaia.
Be we quark, granite, tectonic plate, planetary body, celestial star,
galactic wheel, or strand of cosmic plasma thousands of light years in reach and flow
through the vastness. We interact and function as piece and as whole, as
conglomerate and as complication. On many levels of behaviorally bound
assemblies. Within levels and up and down through the levels. Unique behaviors
underpinned by common relationships. Tangible and intangible.
Figurative and fleeting. Temporary and enduring. Behaviors companioned with
behaviors. Simple and yet textually rich at the same time.
Eventually, this brings us to examining the next
important part of how the universe is organized. To be whole holistic entities means
maintenance and sustenance of potentia and the ability to continue
. That too must be representable by
some shared relationship(s), processes, and dynamics, and indeed it is. The Integrity Diagram.
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