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Unfortunately, we can’t be sure that the condition of optimality according to theorem 6c can be utilized by natural phenotypic evolution (possibly in GA as a model of a brain).
But there is a chance if recapitulation and the rules of genetic variation cooperate to a certain extent. For instance – provided that steps are stored and executed in consecutive order - crossing over may sum a number of steps from maternal DNA adding a number of steps from paternal DNA and so on. This is like adding vectors that more probably may follow a ridge in the phenotypic landscape. Thus, the efficiency of the process may be increased by many orders of magnitude.
If the steps are executed randomly, we may still get a certain adaptation, but it is not as good as it could be. See for instance Kjellström, 1996, in references
http://en.wikipedia.org/wiki/Gaussian_adaptation#references
Moreover, the inversion operator has the opportunity to place steps in consecutive order or any other suitable order in favour of survival or efficiency. See for instance
http://en.wikipedia.org/wiki/Travelling_salesman_problem#Example_letting...
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