Complexity theory is the latest attempt to
explain the emergence of natural forms.

Oxford University Press has published a book
titled "From Complexity to Life," a series of
essays edited by Niels Henrik Gregersen
(2003).  This volume contains essays by
some of the key writers on the subject:  
Stuart A. Kauffman, Paul Davies (a scientist
who has written many books helping to
explain modern physics and cosmology to the
public), Gergensen is a Danish professor of
theology and science.

Davies, in his essay, (op. cit. page 3),
reminds us that the latest scientific account
has the universe emerging from a "big bang"
around 13 billion years ago, when expanding
empty space generates a very hot "uniform
soup of subatomic particles."

Davies goes on to describe "Chaos," which he
describes as a state of a system that has
random features that cannot be predicted.  
But, according to Davies, (p. 6), chaotic
systems are just one kind of complex
systems.  Another kind of complex systems is
described by Davies as "self organizing."
But, if chaotic and self organizing systems are both examples of complexity, what exactly
is complexity.  Davies (p. 7) points out the work of Gregory Chaitin and Charles Bennett
on the mathematics of complexity.  Davies goes on to discuss some of the more hard to
explain aspects of the relationship between information and complexity.  Davies brings up
many points (pp. 7 to 16), problem of the concept of "information," relationship of
information and evolution, existence of self-organizing principles, arrow of time and the
emergence of complexity, balance of chaos and order, reason the universe is orderly, the
place of the lottery theory, god as an emergent reality, bottom up and top down causes,
singularity as well as complexity. In his essay on pages 72 -92 of the volume, Davies tries
to develop the idea of the "many-universes theory" as the source of the "arrow of time," (p.
81).  There may be many different kinds of time possible, but we are in a universe that
has an arrow of time that supports the kind of life that can create a conscious observer
like ourselves.  Our universe is expanding and the expansion raises the possible entropy
and allows the continual movement of energy toward entropy driving evolution as the
emergence of energy dissipative structures competing with each other and generating
complexity as the product of Darwinian competition.  Davies does not say this exactly, but
something similar.
Above is a digest from Davies and "From Complexity to Life," below is my reaction (Allan
Ralph Andrews):
We see a situation where energy is neither created nor destroyed, according to the 1st
law of thermodynamics, where multiple alternative universes are implied by quantum
mechanics and cosmology theory.  The forces at work in the universe seem to point to an
infinite flux that makes the improbable probable.  If Vishnu, the divine preserver in
Hinduism, is that endless boundless aspect of creation, and Shiva, the divine destroyer, is
that endless flux, then Brahma, the creator, is the improbable that infinite flux make
probable, and the anthropic eye, the observer as the creator of the quantum alternative it

This boundless generative cosmology is the Hen, the One of Neoplatonic metaphysics,
the information system principles and mathematics that structure it are the Nous, or
cosmic mind, and the anthropic observer, the Brahma here and now awareness of present
time, is the Pneuma of the metaphysical trinity of Neoplatonism.  Out of this improbability
arises the octahedron of the eight trigrams of the Yi Jing:

                              long yang thermodynamic energy line
                                      as Shiva, infinite flux

     differentiation              the Heaven Trigram           ground of possibility
                                        mutation, new set points

long yang anthropic observer PNEUMA                   long yang boundless one HEN
Brahma the creater                   transcendence                       Vishnu the preserver

     conserved information    the Wind Trigram          purpose, goal
                                           genotype, paradigm, set point
                                     mathematical broken yin line
Fire Trigram      Mountain Trigram  Rule   Waterpit Trigram      Lake Trigram
chaos       individual     analysis       NOUS      order       collective   synthesis
selection                      isolation                    feedback                         recombination

                structure/input        the Earth Trigram         homeostasis

broken yin quantum line                measurement           broken yin association line   
QUANTUM MECHANICS                                                  SPACE-TIME RELATIVITY

                action/process       the Thunder Trigram      development
                                           maladaptive, entropy, emergence  

                                   long yang  thermodynamic energy line   

Quantum mechanics quanta is opposite of One/Hen
Mathematics/Nous is opposite of Shiva/Thermodynamic flux
Space-time Relativity Association is opposite of Brahma/Pneuma

Wind set point is opposite of Thunder emergence
Fire chaos selection is opposite of Waterpit order feedback
Mountain isolation analysis is opposite of Lake synthesis and recombination
Heaven mutation is opposite of Earth phenotype result

process and action is opposite of purpose and goal
information conservation is opposite of development
differentiation is opposite of homeostasis
structure is opposite of ground of possibility
individual is opposite of collective
transcendent is opposite of measurement

note cycles of phenotype, input, analysis, information, set point, goal, feedback,
homeostasis, phenotype measurement, input, analysis, information storage, comparison
to set point, etc.

mutation, gene pool ground, recombination, development, emergence of maladaptive
result, interaction with environment, natural selection and extinction, further differentiation
and mutation, change in gene pool, more recombination, etc.

These processes drive the competition between complexes at higher and higher levels of
organization with more complex set points and homeostasis maintaining feed back
systems.  New levels of organization emerge as follows:

Axios, photons and waves, physics (photons)
Protos, particles and complex particles, nuclear physics (protons)
Atomos, atoms, ions, isotopes, chemistry (elements)
Zymos, molecules, macromolecules, organic chemistry, biochemistry (DNA)

Bios, organelles, cells, tissues, biology, genetics (genes)
Psychos, nervous systems, organisms, psychology, behavior (species behavior)
Anthros, populations, tribes, anthropology (spoken language)
Demos, biotic communities, domestication, agriculture, civilization (writing)

Thermos, ecosystems, industry, mechanical states (printing, telegraph)
Meteros, biosphere, electronics, television (broadcasting, media)
Dynamos, planets, data processing, computers, nuclear physics (programming)
Synos, solar systems, robotics, artificial DNA (internet, web)

Astros, star clusters, science fiction, androids, artificial life (synthetic coding)
Olympos, galaxies, fantasy, "worships," "demonic brains" (artificial intelligence)
Ouranos, super galaxies, mythology, titans (ideal systems, utopias)
Cosmos, universes, theology, gods (cosmological systems, cosmogony)

using this approach, Darwinian evolution is the chaos part of the larger systems process
that leads gradually to an emergent god, or gods.
(see pp. 177 -  202 of above, Harold J. Morowitz, "Emergence of Transcendence.")