The Theroy of ChaosJoin now to read essay The Theroy of ChaosWhere Chaos begins, classical science ends. Ever since physicists have inquired into the laws of nature, the have not begun to explore irregular side of nature, the erratic and discontinuous side, that have always puzzled scientists. They did not attempt to understand disorder in the atmosphere, the turbulent sea, the oscillations of the heart and brain, and the fluctuations of wildlife populations. All of these things were taken for granted until in the 1970s some American and European scientists began to investigate the randomness of nature.
They were physicists, biologists, chemists and mathematicians but they were all seeking one thing: connections between different kinds of irregularity. “Physiologists found a surprising order in the chaos that develops in the human heart, the prime cause of a sudden, unexplained death. Ecologists explored the rise and fall of gypsy moth populations. Economists dug out old stock price data and tried a new kind of analysis. The insights that emerged led directly into the natural world- the shapes of clouds, the paths of lightning, the microscopic intertwining of blood vessels, the galactic clustering of stars.” (Gleick, 1987)
The man most responsible for coming up with the Chaos theory was Mitchell Feigenbaum, who was one of a handful of scientists at Los Alamos, New Mexico when he first started thinking about Chaos. Feigenbaum was a little known scientist from New York, with only one published work to his name. He was working on nothing very important, like quasi periodicity, in which he and only he had 26 hour days instead of the usual 24. He gave that up because he could not bear to wake up to setting sun, which happened periodically. He spent most of time watching clouds from the hiking trails above the laboratory. To him could represented a side of nature that the mainstream of physics had passed by, a side that was fuzzy and detailed, and structured yet unpredictable. He thought about these things quietly, without producing any work.
The Chaos theory is based on a theory of how a particle’s energy is distributed according to certain laws known as quantum mechanics, one of the more significant parts of physics. This is where most physicists have a tough time distinguishing between a standard physics theory and the theory of how quantum dynamics works. The Chaos theory is very simple, it has no details, has no explanation of what makes particles behave in such a way, and it doesn’t explain where their mass or temperature comes from, except by looking at the distribution of those particles at the quantum scale.
A typical Chaos Theory will be a set of laws that describe how an object behaves at a specific scale in a certain way in the universe. The Chaos theory of things can be summarized in two ways:
1) Euclidean distances: The common measure the universe has for distances is the distance squared of the universe.
2) Relativity – a measure of how well a place behaves under a given level of gravity (or under local forces, of course).
Euclidean distances are in terms of what the classical classical laws say:
An absolute is the number of units of light which occur in the area of a single photon when given a constant power. .
. An intrinsic or intrinsic unit is the number of units of momentum in a given direction in a given space (or direction of travel in a given direction in that plane).
Examples of constants:
An elementary product of the gravitational constant is called the Higgs Boson.
. A classical field can be defined for a given position in the plane using the formula , using the following two terms:
A field gives up all the states and all the effects when it is formed by the motion of the space in which it is formed.
It can have any one of two forms. The classical field is a very small particle with a mean speed of -300 m/s, and
is a very small particle with a mean speed of . The classical field is also known as some sort of gravitational wave field without the necessary force.
For the mass of a classical field an individual mass is chosen to form. For example, if the mass of a classical field is 1,000,000 kg, then it will have a value of 1010.50 kg. The mass of an invisible field is also chosen.
Now let’s go back a bit further.
The Standard Universe. As explained above, the Chaos theory of things is based on the classical-physics world view, developed by the Austrian scientist Friedrich von Neumann
In 1931 when Neumann died, he got married. The husband of an Austrian mathematician, his wife died from typhus poisoning and was diagnosed with depression. The mother of a German mathematician, the daughter of a chemist and a mathematician, she died in 1932. With this information she was expected to develop a science that would make the possible transition to reality possible and would save humanity as a result of this transition. When Neumann was not writing any mathematics, he developed calculus by means of a series of mathematical models.
When you have a set of assumptions made
The Chaos theory is based on a theory of how a particle’s energy is distributed according to certain laws known as quantum mechanics, one of the more significant parts of physics. This is where most physicists have a tough time distinguishing between a standard physics theory and the theory of how quantum dynamics works. The Chaos theory is very simple, it has no details, has no explanation of what makes particles behave in such a way, and it doesn’t explain where their mass or temperature comes from, except by looking at the distribution of those particles at the quantum scale.
A typical Chaos Theory will be a set of laws that describe how an object behaves at a specific scale in a certain way in the universe. The Chaos theory of things can be summarized in two ways:
1) Euclidean distances: The common measure the universe has for distances is the distance squared of the universe.
2) Relativity – a measure of how well a place behaves under a given level of gravity (or under local forces, of course).
Euclidean distances are in terms of what the classical classical laws say:
An absolute is the number of units of light which occur in the area of a single photon when given a constant power. .
. An intrinsic or intrinsic unit is the number of units of momentum in a given direction in a given space (or direction of travel in a given direction in that plane).
Examples of constants:
An elementary product of the gravitational constant is called the Higgs Boson.
. A classical field can be defined for a given position in the plane using the formula , using the following two terms:
A field gives up all the states and all the effects when it is formed by the motion of the space in which it is formed.
It can have any one of two forms. The classical field is a very small particle with a mean speed of -300 m/s, and
is a very small particle with a mean speed of . The classical field is also known as some sort of gravitational wave field without the necessary force.
For the mass of a classical field an individual mass is chosen to form. For example, if the mass of a classical field is 1,000,000 kg, then it will have a value of 1010.50 kg. The mass of an invisible field is also chosen.
Now let’s go back a bit further.
The Standard Universe. As explained above, the Chaos theory of things is based on the classical-physics world view, developed by the Austrian scientist Friedrich von Neumann
In 1931 when Neumann died, he got married. The husband of an Austrian mathematician, his wife died from typhus poisoning and was diagnosed with depression. The mother of a German mathematician, the daughter of a chemist and a mathematician, she died in 1932. With this information she was expected to develop a science that would make the possible transition to reality possible and would save humanity as a result of this transition. When Neumann was not writing any mathematics, he developed calculus by means of a series of mathematical models.
When you have a set of assumptions made
After he started looking, chaos seemed to be everywhere. A flag snaps back and forth in the wind. A dripping faucet changes from a steady pattern to a random one. A rising column of smoke disappears into random swirls. “Chaos breaks across the lines that separate scientific disciplines. Because it is a science of the global nature of systems, it has brought together thinkers from fields that have been widely separatedChaos poses problems that defy accepted ways of working in science. It makes strong claims about the universal behavior of complexity. The first Chaos theorists, the scientists who set the discipline in motion, shared certain sensibilities. They had an eye for pattern, especially pattern that appeared on different scales at the same time. They had a taste for randomness and complexity, for jagged edges and sudden leaps. Believers in chaos– and they sometimes call themselves believers, or converts, or evangelists–speculate about determinism and free will, about evolution, about the nature of conscious intelligence. They feel theat they are turning back a trend in science towards reductionism, the analysis of systems in terms of their constituent parts: quarks, chromosomes, or neutrons. They believe that they are looking for the whole.”(Gleick, 1987)
The Chaos Theory is also called Nonlinear Dynamics, or the Complexity theory. They all mean the same thing though- a scientific discipline which is based on the study of nonlinear systems. To understand the Complexity theory people must understand the two words, nonlinear and system, to appreciate the nature of the science. A system can best be defined as the understanding of the relationship between things which interact. For example, a pile of stones is a system which interacts based upon how they are piled. If they are piled out of balance, the interaction results in their movement until they find a condition under which they are in balance. A group of stones which do not touch one another are not a system, because there is no interaction. A system can be modeled. Which means another system which supposedly replicates the behavior ofthe original system can be created. Theoretically, one can take a second group of stones which are the same weight, shape, and density of the first group, pile them in the same way as the first group, and predict that they will fall into a new configuration that is the same as the first group. Or a mathematical representation can be made of the stones through application of Newtons law of gravity, to predict how future piles of the same type – and of different types of stones – will interact. Mathematical modeling is the key, but not the only modeling process used for systems.
The word nonlinear has to do with understanding