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Comments and criticism welcome.
It should be obvious to most the defining role that inverse square relationships play in the physical universe. And of the intuitive picture that the larger the mass, the larger it's gravity well or basin of attraction. So that any random path through space is more likely to find itself pulled into the larger gravity well, than the smaller one. Another inverse square law, the power law, has an equally dominant role in ...living systems. In that the higher the fitness peak, the larger it's basin of attraction. So that any random path through possibility space is more likely to be attracted to the higher fitness peak, than a smaller one. And the system hill-climbs. Power Law "Power-law relations characterize a staggering number of naturally occurring phenomena, and this is one of the principal reasons why they have attracted such wide interest. For instance, inverse-square laws, such as gravitation and the Coulomb force, are power laws, as are many common mathematical formulae such as the quadratic law of area of the circle" http://en.wikipedia.org/wiki/Power_law But equally dominant in the behavior of the natural world is random interactions. The study of random Boolean networks show that a totally disordered system, when disturbed in a complex way, tends to produce spontaneous cyclic order. Providing a clear path from Second Law forces to those of Self Organizing or evolving systems. The transition from disorder to order is a result of random interactions. It is in this way the physical and living worlds tend to create spontaneous order, which evolves over time to every higher emergent properties. From a random soup, sufficiently perturbed, generates cyclic motion. Then the natural interactions between random paths in space and inverse square forces provide the impetus for relentless hill-climbing or evolution. A common process of evolution for the physical and living realms. Where the ultimate impetus is well known to all. Second and inverse square laws, randomly interacting. So, a black hole and life should be equally rare yet equally inevitable. The source of all order, then, is the critical interaction between quantum-like and classical-like behavior. Where both are intractably entangled so that one can't tell which dominates the system behavior. s |
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