The true meaning of the word chaos is different from its general usage as a state of confusion or lacking any order. In chaos theory, chaos refers to an apparent lack of order in a system that nevertheless obeys particular laws or rules. Chaos is not disorder but a higher order of the universe.
Chaotic systems appear to be disorderly, even random. But they are not. Beneath the random behavior is a sense of order and pattern. Truly random systems are not chaotic. In a world of order, chaos rules.
Chaotic systems are deterministic. This means they have something determining their behavior. Chaotic systems are very sensitive are very sensitive to the initial conditions. A very slight change in the starting point can lead to enormously different outcomes. The theory behind how small deviations can lead to large deviations lies at the heart of chaos theory.
Chaos theory is the study of non-linear, dynamic systems. Using Chaos theory, you can predict the patterns of the stock market, the weather and everything that has unfoldment. Chaos theory shows that the occurrence of events is not linear but holographic in nature. The image of the whole can be found within any part of it. Self- similarity is symmetry across scale. It implies recursion, pattern inside of pattern.
Playing with chaos mathematics, science and computer programming produced images which looked like nature. Ferns and clouds and mountains and bacteria. Simple mathematical equations fed into a computer could model patterns every bit as irregular and “chaotic” as a waterfall. They can be applied to weather patterns, coastlines, and all sorts of natural phenomena. Particular equations would result in pictures resembling specific types of leaves, the possibilities were incredible. They seemed to match the behavior of the stock exchange and populations and chemical reactions all at the same time.
- They suggested answers to questions which had been asked for centuries about the flow of fluids as they moved from a smooth to irregular flow, about the formation of snowflakes, about the swing of a pendulum, about tides and heartbeats and cauliflower and rock formations. The chaos pattern is the pattern of the universe.
Irregularity is the stuff life is made of. In the study of heartbeat rhythms and brainwave patterns, irregular patterns are measured from normally functioning organs, while steady, regular patterns are a direct symptom of a heart attack about to occur, or an epileptic fit. The human heart has a chaotic pattern.
- The time between beats does not remain constant. It depends on how much activity a person is doing, among other things. Under certain conditions, the heartbeat can speed up. Under different conditions, the heart beats erratically. It might even be called a chaotic heartbeat. This shows that the rhythm of the heartbeat follows the emotional and mental state of the person as it changes from moment to moment. Everything in life operates according to the flow of consciousness as it changes from moment to moment.
Stock market traders who trade with intra day data such as five-minute bar charts are trading random noise and thus wasting their time.
- Over time, they are doomed to failure by the costs of trading. Longer-term price action is not random. Traders can succeed trading from daily or weekly charts if they follow trends. The question naturally arises how can short-term data be random and longer-term data not be in the same market? If short-term (random) data accumulates to form long-term data, wouldn’t that also have to be random? As it turns out, such a paradox can exist. A system can be random in the short-term and deterministic in the long term.
This is because chaos follows a pattern of encryption and decryption.
- Information changes state from data to code and back to data. Nature forms patterns. Some are orderly in space but disorderly in time, others orderly in time but disorderly in space. Simple systems give rise to complex behavior. Complex systems give rise to simple behavior. Chaos follows the principle of rhythm where everything has its ebb and flow. One reason why predicting complex systems is difficult is that we have to look at the forest rather than the trees, and almost nobody does that. You are able to predict everything when you see from the big picture.
Stock markets are non-linear, dynamic systems. Chaos analysis has determined that market prices are highly random, but with a trend. The amount of the trend varies from market to market and from time frame to time frame. A concept involved in chaotic systems is fractals. Fractals are objects which are “self-similar” in the sense that the individual parts are related to the whole. A popular example of this is a tree. While the branches get smaller and smaller, each is similar in structure to the larger branches and the tree as a whole. Similarly, in market price action, as you look at monthly, weekly, daily, and intra day bar charts, the structure has a similar appearance. Just as with natural objects, as you move in closer and closer, you see more and more detail.
A fractal is a geometric shape that is similar to itself at different scales. More clearly, a fractal shape will look almost, or even exactly, the same no matter what size it is viewed at. Fractal objects have several interesting properties. One of the most interesting is self-similarity. The Sierpenski triangle is a good example of this. Sierpenski’s is composed of four smaller triangles, each of which are composed of four even smaller triangles, and so on.
- A fractal object such as this exhibit self-similarity over many scales of observation. Another property of a fractal object is a lack of well defined scale. A good example of this is clouds, which tend to look very similar no matter what their size. The human body’s arteries, veins, nerves, parotid gland ducts, and the bronchial tree all show some type of organization.
What is the workings of this underlying pattern of similarity and property of regularity in systems? The answer lies in attractors.
- Attractors are values or patterns that the particular orbits of things in motion tend to approach. For example, a ball at the bottom of a basin will simply sit immobile. That state is the attractor of the ball-bowl system. If one places the ball at any other point in the bowl, it will eventually tend toward sitting at the bottom. Take any simple ball, set it in motion, and watch. It will eventually slow down and stop moving, at which time it will be in its stable state.
Attractors can be as simple as the ball’s stable state, or they can be as complicated as the patterns on a butterfly’s wing.
- The ball in the basin is an example of a system with a simple attractor. If viewed from above, the ball will travel in a spiral. The center of the spiral is the appropriately called a “point attractor,” as a point travels inward along a spiral, its position will tend toward the center point. Attractors that fall into the more complex category are dubbed “strange attractors.” The essential property that strange attractors possess is that they consist of orbits which, although infinite in number and bounded in space, never cross. The curves of the orbits traversing the attractor are infinite in one dimension but bounded in another. Since they are not truly one-dimensional, nor two-dimensional entities, they are considered to be of fractional dimension because they are non-linear.
Trajectories within a strange attractor appear to skip around randomly. The motion of a particle will neither converge to a steady state nor diverge to infinity, but will stay in a bounded but chaotically defined region. By chaotic, we mean that the particle’s location, while definitely in the attractor, might as well be randomly placed there. That is, the particle appears to move randomly, and yet obeys a deeper order, since it never leaves the attractor. This shows that free will operates within the structure of destiny. Destiny is a straight line. Free will is like an oscillating wave above and below that line. You are free to make choices but your life path will always be tethered to your destiny.
Lorenz modeled the location of a particle moving subject to atmospheric forces and obtained a certain system of ordinary differential equations. When he solved the system numerically, he found that his particle moved wildly and apparently randomly. After a while, though, he found that while the momentary behavior of the particle was chaotic, the general pattern of an attractor appeared. In his case, the pattern was the butterfly shaped attractor now known as the Lorenz attractor.
The pattern of chaos occurs in cycles that are similar but almost seem to repeat themselves exactly. Each new cycle always finds a way to alter course that it turns out slightly different from the last. This is why there are no two sets of fingerprints or DNA strands that are identical. Events in history and people may be similar but none is ever exactly the same as another. There is always a difference that makes it unique on its own. This is what makes life so special and interesting. Nothing ever repeats itself exactly. The basic elements of things are the same but there will always be new configurations taking place.
Ours is a world which is neither certain nor random, and our realization of the importance of the interplay of order and chaos has opened up the doors to a whole realm of investigative opportunities.
- Those studying this region between order and disarray have dubbed their work “complexity theory,” and in examining the subtle interactions between the instability of deterministic chaos and the building of attractor conditions they have come to identify several universal behavior patterns.
One of these is self-organization. This is the tendency of attractor conditions to form spontaneously from chaotic interactions.
- Although we have heard much of a mysterious force “entropy” which states that the universe tends towards disarray, we find that the matter of the universe has formed patterns. Self-organization is evident in everything from the evolution of life on earth to Jupiter’s Great Red Spot, and is crucial to understanding such phenomena as memory and pattern recognition. This shows that there is a conscious programming within all things that organize them into their particular form.
The evolutionary principles of chaos are being applied to mundane computing tasks such as sorting and hashing algorithms.
- By creating programs which compete in a virtual environment to accomplish a given task with the greatest efficiency, programmers are able to cause algorithms to be “grown” rather than made. Successes in creating self-organizing computer programs likewise serve to bolster the work being done in nanotechnology and genetic engineering, both of which make use of the self-organizing properties of systems to accomplish goals.
- Understanding chaos theory is the foundation of creating advanced artificial intelligence and artificial life forms that have humanlike intelligence possibly even possessing some kind of free will. Anything is possible. There is no difference between body and machine because physical reality is illusion and everything is consciousness.
Owner and Founder At The Goddess Bibles A Memoir By Laura Zukerman
Becoming Your Inner Goddess
Goddess of Chaos!
Goddess on Fire 🔥