Bounded Chaos
The next graphs depict their return maps. The experiment was terminated after 500
time units. If we would continue, the map of CA-0 would remain the same,
while the CA-1 plot would be filled with new dots.
Despite its apparent simplicity the CA-0 map poses some difficulty. Several points are aligned along vertical lines, which means that the mapping from velocity[now] to velocity[next] is not one to one, but one to many. In other words, neither the return map, nor the phase space provide enough information for reconstructing the velocity trajectory and more information is needed. Since CA-0 states are discrete and finite this information may still be gathered from other CA-0 attributes.
Since WOB cannot be expressed with the
available mathematical tools, it has to be searched for by trial and
error. You design a CA system and hope that it will
manifest the kind of WOB you are searching for. Gone are the days
when mathematicians searched for hidden laws in Plato’s heaven. The
future of mathematics is system breeding. What about medicine? We
are fortunate that our organism is controlled by WOB, which drives
it from solution to solution. All that is needed is to understand
WOB ways and messages. This is what the
New Kind of Medicine is about.
“You never step into the same river
twice” said Heraclitus, to which we added “
you never meet the same individual twice”. Does it matter?
Not at all, since despite the fact that an individual continually
changes, you still recognize him. His chaos is bounded,
and the boundaries are controlled by WOB.