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Nature provides a number of different patterns: spirals, ripples, patterns on birds feathers, spots and stripes on animals. Symmetry is pervasive in living things.
In high speed photography we can see the crown-shaped splash pattern formed when a drop falls into a pond. We see five-fold symmetry in the echinoderms, a group that includes starfish, sea urchins, and sea lilies. Snowflakes have striking sixfold symmetry. Dunes may form a range of patterns including crescents, very long straight lines, stars, domes, parabolas, and longitudinal or sword shapes. There are also symmetries, like: trees, spirals, meanders, waves, foams, cracks and stripes.
In the law of entropy we expect most things in this world to be random instead of ordered. It takes energy to create order.
Ramsey Theory says that order is the inevitable result of a large amount of random trials. Hungarian biologist Aristid Lindenmayer, and French American mathematician Benoît Mandelbrot showed how the mathematics of fractals could create plant growth like patterns in computer printouts. These are just the beginnings of understanding the harmonics of nature.
This book looks into the patterns in nature. Instead of just listing the interesting patterns I am concerned about demonstrating a general etiology of those patterns. This is a new way of looking at the physical universe itself to understand not only the etiology but the general physics of those patterns. Thus we can see a set of characteristics that allows us to understand, predict, and use the processes of these patterns.
The output of the organ pipe is clearly based on ‘theme and variation’. If this was a functional (Newtonian) process it would have a singular output (every action has an equal and opposite reaction). Any process whose output demonstrates ‘theme and variation’, that process or the portion of the process showing ‘theme and variation’ is the result of ‘constrained probabilities’; and not of functional action!
The Science of Natural Patterns.
Harmonics of Nature
1. The first rule of Harmonics processes is that small groups of entities (including individual entities) do not necessarily follow thermodynamic equations.
2. The second rule of Harmonic processes is that there are one or more constraints and/or initiating activities that insure the entities within the process are separated into small groups so that Harmonic processes become more important than Entropy.
3. The third rule of Harmonic processes is that the constraints on the process provide a theoretical envelope or box which determines the ‘space’ the Harmonics processes can act in.
4. The fourth (and most important) rule of Harmonic processes is that the Harmonics processes that fit neatly into the envelope of the constraints will occur.
5. The fifth rule (call it the Macro-Harmonics rule) of Harmonic processes is that larger groupings that are isolated from each other enough that it limits functional interrelationships between the groups can show Harmonic behavior expressed above normal entropic behavior.
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