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Jerome Heath

Harmonics of Nature

Harmonics of Nature

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The Etiology of Natural Patterns 
 
Symmetry is pervasive in living things. Nature provides a number of different patterns: spirals, ripples, patterns on birds feathers, and spots and stripes on animals.

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 is found in such creatures as starfish, sea urchins, and sea lilies. Snowflakes have striking six-fold symmetry. Dunes may form crescents, very long straight lines, stars, domes, parabolas, and longitudinal or sword shapes. There are also symmetries, like: trees, spirals, meanders, waves, foams, cracks, spots, and stripes.

From the common understanding of entropy, we expect most things in this world to be random instead of ordered, and these random distributions should show dissipation and not order. 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 patterns that appear to be natural 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 of harmonics 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.

Entropy and Energy

At equilibrium the distribution of energy is not related to the physical dimensions of the container (or any other physical limitation). The bell curve of energy distribution is related to energy graphed on energy level not on the position of those energy levels in the container. That bell curve of energy versus energy level is a characteristic of equilibrium. Inside our container there is no bell shaped distribution of energy on distance. The motions of the molecules are quit chaotic. They are at equilibrium but the individual molecules do not show this.

On the whole the system is in equilibrium but the energy differences in local areas of the system make it possible for local disturbances (perturbations) to effect the system in a special way. The perturbation can affect the distribution of energy in the system without having an effect on the equilibrium. The local imbalances help the perturbation to produce wave like forms which continue the balance of that energy average that equilibrium requires but provides information to the system about the perturbations and about the system. The wave form balances local low and high energy to produce no change in energy or overall distribution of energy. The wave signal goes out and about the system and provides information about the perturbation and through reflected waves provides information about the system itself. All this without affecting the equilibrium of the system. This involves local energy and balances local energy. It does not affect global energy issues.

These local imbalances can violate the equilibrium of thermodynamic entropy because the individual areas of the process become isolated based on perturbations due to initiating circumstances and activities. At that point small groups of molecules (or other forms of small groups) do not follow entropy processes of thermodynamics laws since these are based on probabilities and the theory of large numbers. The whole unit of the system still must remain at thermodynamic equilibrium (on average).

The building blocks of closed systems in nature are the constraints. What we see (what derives from the constraints) of such nature is based on the harmonics that are tunable to the constraints, on those constraints, and on how the constraints effect a probability distribution. These harmonics are not traceable, as would be the case under an equal and opposite reaction in Newtonian processes, since they are created by constraints, the constrained probability distribution, and some energy process not directly related to the result (e.g. air blown across the end of a tube). The results are not specific (not based on an equal and opposite reaction), but are a series of possibilities that are describable as theme and variation.

This short book is an excerpt of chapters from Reverse Engineering the Universe via Post-Structuralism.

Dr. Jerome Heath
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