Wednesday, December 06, 2006

And now, for the Finale

Once the elucidation of the geometry of multiple convolved correlation structures has been obtained and assigned either a universality class or underlying reduced or coarse-grained models, flow through phase-space will be reduced to common attractors (e.g. multiple convolved correlation structures). These common attractors will define new convolutions, that will in turn create larger and more complicated multiple convolved correlation structures. Possibly through a self-adjoint (or Hermitian) process, constraints can be generated and placed on these structures, such that new metrics can be defined and characterized for arbitrary combinations of convolutions of these multiple convolved correlations structures.

This process, coupled with an environment, will be able to generate arbitrarily complex partitions of phase space such that maximally explanatory interpretations of environment can be generated.