Organodynamics

Grant Holland, Apr 25, 2014

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 8. Chance Variation

 

A second salient feature exhibited by this class of systems is chance variation. This means that the dynamics of these systems operate in a manner that is subject to chance.

 

This is conspicuously true of many complex systems. Evolutionary biology, for example, is well known to operate under the influence of chance mutations and chance copy errors as its only source of change. [Monod 1972]

 

In the same way, any discipline of physics that entertains the behavior of elementary particles must account for the chance nature of particle behavior: as evidenced by statistical mechanics and quantum mechanics.

 

9. The Organodynamics Stochastic Process (OSP)

To accommodate this chance variation associated with organizational change, we shall alter the organodynamic deterministic process (ODP) from above.

 

The alteration will consist of making a replacement at each time step of this process.

 

Recall that a time step in an ODP is an extended topology that defines the system state at that time.

 

 

 

 

 

We shall replace this extended topology at each time step with an entire probability distribution of topologies, each of which has the possibility of being realized at that time step.

 

The resulting process is no longer deterministic, but is now stochastic Ð and thus we called it an organodynamic stochastic process (OSP).

 

Notes: