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Homeokinetics
The Physics of Complex Systems
Definitions
Anima
An ancient, probably first, idea of activation of things
"out there" was by a spirit or spirits, thereby inducing motion. This finally
resulted in Aristotle introducing the notion of force as an agent of change, for
example, in motion. One then made the magnificent modern transition into science
by following Newton into the so-called Age of Enlightment.
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Atomism
The word is used to denote both the doctrine and the
object, like the usage of organism. An atomism denotes an atomic-like entity. It
is a limited object of any size which is largely repeated in structure and
character. It can withstand
forces of interaction, such as collisions or other stresses, up to some
level without breaking or cracking or otherwise permanently deforming. Yet it
can bind with some of its counterparts or comparable units. It can possess and
share mass, energy, momentum, or electric charge. A very important part of its
specification is that like other so-called brownian particles, it can share its
energy and actions with other smaller atomisms underlying it. It is that nested
character, developed first observationally by the botanist Brown in an earlier
century, and then provided by Einstein with a theoretical account in this
century which has inspired us to the generality of how and why complexity of
movement and change can be maintained at and among systems at all levels. Thus,
see for example, our two papers,
Soodak and Iberall (1978), Iberall and Soodak (1978) for two different
levels of detailing a series of fundamental propositions about complex atomistic
systems.
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Collective
In physical systems, pairs of atomistic particles can
involve forces between them.
In a group of such particles, the paired forces drive the system of particles to
a collective motion. It is part of the character of physics to be able to
identify such collective motions, such as the motion of a star, or galaxy, or
stone, or stream of water. More generally, in complex systems, we are concerned
with their collective stream of action.
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Complex
Complexity has many meanings. We elect to assign the
notion of complexity in a physical system to processes of exchange among the
atomisms of the collective
which are much more extensive in time than their atomistic collisions. We imply
nothing mysterious about the process except that the interior of those atomisms
are each complex factory systems.
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Factory Day Process
What marks a factory is a large number of machines and
engines performing a great number of processes spread out spatially at many
operating stations, and temporally linked in a large up-down hierarchy of
processes. Raw materials have to be brought in, stored, operated upon. Subparts
have to be produced. Sales, accounting, and production processes have to take
place as products are made and shipped. The processes are spread over an
extensive physical domain and they are hierarchically linked and connected to
satisfy scheduling and flows at a great number of time scales.
In our physical construct for complex systems, our complex
atomisms are always such factories. Since another characteristic of a factory is
that it has a total, often called bottom line, performance, which tends to
define the total operational time scale, we have referred to that as the
characteristic factory day. For many human-made systems, such a factory day is
the Earth year. But for complex atomisms in nature, it can be anything from very
small fractions of a second to the life-time scale of the universe.
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Force
In modern times, the notion of force 'caused' by direct
action, or action at a distance, was introduced by Newton. This made
understanding the nature of forces hard, because where do forces reside? Is the
force a property of the actors? When two actors are about to collide, a force
builds up between them (e.g., gravity between the Earth and moon). As they
approach collision, that imminent process potentially involves some sort of
virtual exchange with the vacuum. It is theorized that during the collision and
its approach, there is a virtual material-energetic force carrier emergent from
the vacuum. These have been identified for the force between electric charges
(the virtual photon), gravity (the graviton), and weak nuclear forces (the w and
z particles). Still missing is the carrier for strong nuclear forces and a
demonstration of the graviton.
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Richness of intragalactic structures
What astronomers and astrophysicists have identified are
gas and dust clouds, stars, planetary systems, planets, planetismals, and
comets, with planets nesting many subsystems such as local gas, liquid and solid
systems, including a rich geophysics and chemistry, as well as a rich biophysics
and chemistry, supporting life, its command-control and social systems and
processes.
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Language
If one understands the extensive space and time processing
in complex factories, and the requisite and extensive field memory function to
achieve all those processes, then language becomes a catalytic process that
evokes action or potential images of action. What a catalyst will do is speed or
slow down a 'chemical' reaction. That is what our language usages do in living
systems at various levels. We speak to our organs, our cells, and to each other,
and that controls the flow of our collective actions both in space and in time.
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Field Memory Function
A complex field factory system, involving extensive forces
operating a great number of scales, has to be endowed with a memory. The
question, without invoking human animation, is what serves as memory? The answer
is that factory processes themselves, derived from the forces, map out such
memory functions. This is just as true in any human-made system as in any
natural-made system. The possibility of factors existing in human society or in
nature involving an extended factory day process implies that there will be a
great number of memory functions, spread out in space and time. Von Neumann, for
example, used a circulating flow system for a short term memory in computers,
and used storage in such things as magnetic domains for long term storage. In
the body, we store more commonly as short-lived and long-lived molecules.
Systems can use any material or energetics at hand for such memory functions.
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Vacuum
The quantum vacuum is not the completely empty space
visualized in the 19th Century. In quantum theory, the quantum state of lowest
energy of any system, even that of a simple mechanical oscillator, is generally
not one of zero energy. The vacuum is thus a quantum state in which the total
energy of all fundamental fields of nature is a local minimum, smaller than the
energy of all slightly different states. It thus contains all fundamental
fields, those of the fundamental particles, quarks and leptons, and those of the
field quanta, through which the particles interact with each other, by strong,
electromagnetic, weak, and gravity force. It is conceivable that other local
minimum states much different from our current vacuum can exist or did exist in
some past stage of our expanding universe. In fact, a transition from a possibly
initial vacuum state to the current one shortly after the initiation of the big
bang, is the basis of the inflationary model of the universe, the model that
goes a long way toward explaining why our patch of the universe, out to the
relativistic horizon, is very homogeneous and isotropic on the large scale.
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