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| Creative Chaos |
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| What is chaos? |
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AnamAstar7  "Where chaos begins, classical science stops. For as long as the world has had physicists inquiring into the laws of nature, it has suffered a special ignorance about disorder in the atmosphere, in the fluctuations of the wildlife populations, in the oscillations of the heart and the brain. The irregular side of nature, the discontinuous and erratic side -- these have been puzzles to science, or worse, monstrosities." -- Jame Gleick in Chaos: Making A New Science When we look at the changing world that we are living in, we can categorize the types changes into a few fundamental categories: growth and recession, stagnation, cyclic behavior and unpredictable, erratic fluctuations. All of these phenomena can be described with very well developed linear mathematical tools. Here linear means that the result of an action is always proportional to its cause: if we double our effort, the outcome will also double. However, as Stan Ulam had pointed out, most of nature is non-linear in the same sense as most of zoology is non-elephant zoology. The situation that most of traditional science is focusing on linear systems can be compared to the story of the person who looks for the lost car keys under a street lamp because it is too dark to see anything at the place where the keys were lost. Only recently do we have access to methods and compute power to make significant progress in the field of non-linear systems and understand, for example, seemingly simple things like dripping faucets. One whole class of phenomena which does not exist within the framework of linear theory has become known under the buzz-word of chaos. The modern notion of chaos describes irregular and highly complex structures in time and in space that follow deterministic laws and equations. This is in contrast to the structureless chaos of traditional equilibrium thermodynamics. The basic example system that might be helpful for visualization, is a fluid on a stove, the level of stress is given by the rate at which the fluid is heated. We can see how close to equilibrium there exists no spatial structure, the dynamics of the individual subsystem is random and without spatial or temporal coherence. Beyond a given threshold of external stress, the system starts to self-organize and form regular spatial patterns (rolls, hexagons) which create coherent behavior of the subsystems (``order parameters slave subsystems''). The order parameters themselves do not evolve in time. Under increasing stress the order parameters themselves begin to oscillate in an organized manner: we have coherent and ordered dynamics of the subsystems. Further increase of the external stress leads to bifurcations to more complicated temporal behavior, but the system as such is still acting coherently. This continues until the system shows temporal deterministic chaos. The dynamics is now predictable only for a finite time. This predictability time depends on the degree of chaos present in the system. It will decrease as the system becomes more chaotic. The spatial coherence of the system will be destroyed and independent subsystems will emerge which will interact and create temporary coherent structures. (Anim0n's Note): An awful lot of big words in the above, necessary we're sure, but to simplify matters, if we may, let's say that Chaos means "open-ended" or "never-ending," hence our beginning this page with a quote from AnamAstar: "ever developing, ever growing" which actually says it all. To personalize it a bit, in 1982 I suffered a massive heart attack which put me into a 10-day coma. When I awoke, the first thing out of my mouth was, "What am I doing back here?" A nurse, sitting at the foot of the bed (watching over me like an angel) immediately said: "The Mother isn't finished with you yet." And so it is. For me and for you. We are each of us a truly solitary system and the Mother is not finished with us. "There is more to be revealed," as wisdom says. By way of illustration of Creative Chaos, may we point out that an excellent example of it is MASTER LIST itself. Think about it. There is only one MASTER LIST, yet it contains many menus, and each menu is complete in itself. The menus are the parts, MASTER LIST is the Whole...and the Whole is equal to more than the sum total of its parts. And so it is with each of us as individuals...we are parts to the Whole...in our case the Whole equals World Soul and what the Soul says is simply this: "I contain you, you do not contain me." This truth is at once ego-destroying and soul-making and few there be who will buy it. But for those who do buy it...well...there is a surprise in store for them. Enough said :) Source of text: http://www.santafe.edu/~gmk/MFGB/node2.html Click here to return to MASTER LIST http://zwap.to/Anim0n |
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