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Wednesday, September 4, 2013

The Chaos Rules

double rod pendulumanimation 
showing chaotic behavior Starting 
the pendulum from a slightly different
 initial condition  would result in a 
completely different trajectory. 
The double  rod pendulum is one 
of the simplest  dynamic systems
 that has chaotic solutions.
The rules are Chaos is there are no rules If I begged my wife to go to the store and get me some Ice Cream, and she was hit by a drunk driver and killed, am I responsible?  If I know a person has a bad Heart and I agitate him and he dies of a heart attack, am I the blame? Ecclesiastes 9:11  I returned, and saw under the sun, that the race is not to the swift, nor the battle to the strong, neither yet bread to the wise, nor yet riches to men of understanding, nor yet favour to men of skill; but time and chance happeneth to them all.

The basic theory of Karma is: 'cause and effect'. The laws (Dharma) decide what effect is begot from a given cause. Karma is the 'cause' part of this theory. In other words, your actions - mental, vocal and physical are your Karma (plural).
Dharma does not 'punish' or 'reward' anyone. The concepts of good and bad don't exist. For example, gravity is one of the laws of the universe, and if you jumped off a building and killed yourself, we wouldn't say that gravity was punishing you.

Chaos: When the present determines the future, but the approximate present does not approximately determine the future.
An  example of Chaos discussed by Poincaré is of a man walking on a street on his way to his business. He starts out at a particular time. Meanwhile unknown to him, there is a tiler working on the roof of a building on the same street. The tiler accidentally drops a tile, killing the business man. Had the business man started out at a slightly earlier or later time, the outcome of his trajectory would have been vastly different!

How many people have you killed today?

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