e-mail to Johnny about the optimal entropy for life

2013-12-01

azim58 - e-mail to Johnny about the optimal entropy for life

Okay Johnny, I think I might have the answer for the question "What is
the entropy that life operates at or prefers?" since we know that life
does not operate at max or min entropy levels.

It is already known that networks found in living things or systems
created by living things (highways, social networks, etc.) are
"scale-free" networks or networks that follow a power law. There's few
nodes with lots of connections like hubs, more nodes with fewer
connections, and even more nodes with fewer connections just as we were
discussing with the tree branches. Therefore, all I need to do in order
to discover what the ideal entropy for life is to make a power law
distribution for a certain number of elements, and calculate the entropy
for that distribution. I can then see how this entropy value relates to
the maximum entropy value possible for a system with that many elements.
Note that there is also a relationship between Fibonacci numbers, the
golden ratio, and power law distributions. I'll openly admit that I don't
understand the exact details of those relationships, but quick searches
reveal papers on these topics (ha maybe there's papers on any topics; but
no I think this is real :) )

Likewise, I think that an adaptive system will come to resemble it's
environment to a certain degree. Therefore, in order to produce the most
"life-like" "beautiful" system, this system should be exposed to or
stimulated by an environment which reflects such a power law distribution.

-Kurt

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