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