Hilbert spaces within Hilbert spaces

In this chapter we have seen how any kind of system, either tangible or intangible can be represented in Hilbert space. We have seen how selected dimensions can be chosen to represent a system.

The simplest Hilbert space was two dimensional , where the value of the dimensions gave the position of marbles. By observing the nearest marble to the target hole we could guide a marble thrower to the target. We saw how clothing designs were put into Hilbert space and through selection by sales we saw how a fashion design company could be advanced towards success. We saw how software could be placed into Hilbert space and advanced to where it could make suitable emotional responses. We understood how groups could progress through the evolution of individual group member's emotions. In every one of these examples, there is no element of planning, it is just inspirations, intelligent guessing or random chance followed by a testing then a selection procedure; this steers any kind of construct in a direct straight line towards any specified solution.

In previous chapters, we saw how an e-commerce project can be set up as a number of modules. As the bottom up, house building strategy demonstrated, each module (room) can be evolved independently of the others. Putting this scenario into the context of Hilbert space would see each room having its own Hilbert space and then the whole building or any combination of rooms being in Hilbert space. Hilbert space then can contain other Hilbert spaces. This is the flexibility that gives this model its powers to create imaginative solutions within the complexity of a dynamic system

In this way, all parts of the system plus the system itself can be grown from nothing more than a green frog.