posted 16. September 2005 15:16                    

Fratually embedded systems forge new systems internally by compressing information at large.

http://www.iscid.org/boards/ubb-get_topic-f-26-t-000007.html

This compression of information is what can be observed in this artifact.
Before this discovery I was unaware of any need for additional theories concerning evolution. I had a good grasp of the Darwinian models and saw it as a cohesive whole.
This fossil changed all that, now I see that nature builds complexity over time in one layer and then collapses these systems at large into a point. These points representing a fractal of the larger one it is embedded in.

This "Vesica attractor" shows that biological systems arose in the same fundamental way as the elemental and cosmological phases prior to the emergence of life.

This has been theorized in attractor models, and is currently being applied to the interacting genetic components in biological systems, reflecting changes in morphology over time, and has been theorized that these components could have been originally unified in a self-organizing process, but………. this is the first time an actual physical artifact represents how these process originated.

In other words, this could represent a Rosetta stone of life.

This structure starts out simply enough as a mass of oolite spheres bound by cyanobacterial filaments and eukaryote cells, into a torus or bagel shaped mass.

This mass is rolled together by wave dynamics and comes to rest.

Now here is were it gets complicated, especially if your not familiar with chaos. The following is how this chaotic mass creates a higher ordered state. remember the spheres dissipate during this process leaving behind a geometrically connected structure of cells.

This can simply be understood as a process in which nature compresses information at large into a point.

Molecular and morphological mechanisms achieve a sudden self ordering in this dissipative structure, wherein environmental information is suddenly bound to a hierarchal internal system. From overall symmetry, to genetic level potentials.

This system forms as non-linear assemblage point from a fluid dissipative tours structure, though a geometric crystallization stage, to genomic algorithmic self-assembly stage. This process is powered by two connecting levels of flow, one of wave dynamics redirected into the structure by its shape, and one of chemical flow on the molecular level, [by the dissolving oolites in the microbial substrate.] These two flow patterns connect, and in doing so self-organize the physical components around this flow.[ see dissipative structure] [live rock, aragonite\ strontium]

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Chaos and Complexity

One of the themes straddling both biological and physical sciences is the quest for a mathematical model of phenomena of emergence (spontaneous creation of order), and in particular adaptation, and a physical justification of their dynamics (which seems to violate physical laws).

The physicist Sadi Carnot, one of the founding fathers of Thermodynamics, realized that the statistical behavior of a complex system can be predicted if its parts were all identical and their interactions weak. At the beginning of the century, another French physicist, Henri Poincare`, realizing that the behavior of a complex system can become unpredictable if it consists of few parts that interact strongly, invented "chaos" theory. A system is said to exhibit the property of chaos if a slight change in the initial conditions results in large-scale differences in the result. Later, Bernard Derrida will show that a system goes through a transition from order to chaos if the strength of the interactions among its parts is gradually increased. But then very "disordered" systems spontaneously "crystallize" into a higher degree of order.
First of all, the subject is "complexity", because a system must be complex enough for any property to "emerge" out of it. Complexity can be formally defined as nonlinearity.

The world is mostly nonlinear. The science of nonlinear dynamics was originally christened "chaos theory" because from nonlinear equations unpredictable solutions emerge.

A very useful abstraction to describe the evolution of a system in time is that of a "phase space". Our ordinary space has only three dimensions (width, height, depth) but in theory we can think of spaces with any number of dimensions. A useful abstraction is that of a space with six dimensions, three of which are the usual spatial dimentions. The other three are the components of velocity along those spatial dimensions. In ordinary 3-dimensional space, a "point" can only represent the position of a system. In 6-dimensional phase space, a point represents both the position and the motion of the system. The evolution of a system is represented by some sort of shape in phase space.

The shapes that chaotic systems produce in phase space are called "strange attractors" because the system will tend towards the kinds of state described by the points in the phase space that lie within them.

The program then becomes that of applying the theory of nonlinear dynamic systems to Biology.

Inevitably, this implies that the processes that govern human development are the same that act on the simplest organisms (and even some nonliving systems). They are processes of emergent order and complexity, of how structure arises from the interaction of many independent units. The same processes recurr at every level, from morphology to behavior.

Darwin's vision of natural selection as a creator of order is probably not sufficient to explain all the spontaneous order exhibited by both living and dead matter. At every level of science (including the brain and life) the spontaneous emergence of order, or self-organization of complex systems, is a common theme.

Koestler and Salthe have shown how complexity entails hierarchical organization. Von Bertalanffi's general systems theory, Haken's synergetics, and Prigogine's non-equilibrium Thermodynamics belong to the class of mathematical disciplines that are trying to extend Physics to dynamic systems.

These theories have in common the fact that they deal with self-organization (how collections of parts can produce structures) and attempt at providing a unifying view of the universe at different levels of organization (from living organisms to physical systems to societies).

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