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What A Single Principle Gives You

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Posted by Harvey on January 21, 2002 14:37:55 UTC

***You CAN NOT get galaxies and their distribution pattern from some SINGLE PRINCIPLE***

Iterative equations (i.e., equations that are often used to emulate an evolutionary process) often have limits. These limits are often equivalent to well known equations that simply give the current state of the system if the variables of the equation are known. For example, the following paper shows how a cellular automata is able to reach the limit of a single well-known equation (i.e., Weyl equation):

***It is gravity at work + expanding space + given initial conditions.***

Why can cellular automata, fractal iterations, etc often be used to reach (in their limits) these overall equations that appear to be simple equations? For example, Feynman's path integral sums the histories of an infinite number of paths only to reach Newton's F=ma (among others). Why is that a complex iterative or summation approach eventually yields an approximate single principle? Fractals once they form are known for their simplicity and beauty, yet the equations and number of iterations give no such appearance that anything simple and beautiful is in the works. [Often the limit can even yield basic symmetry groups].

Warm regards, Harv

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