Measuring Up

In a purely functional universe, only Transformative Processes can exist, thus Creative Process are unrepresentable. The basis of the purely functional universe is the notion of complete knowledge without external influence. But what we discover is that a purely functional universe can have no beginning, as it does not make room for unknown origins for populated domain of the objective space.

Taking the Conveyance Function to illustrate this point:

$${\phi }_o(t)=f({\phi }_i(t),{\phi }_p(t),t)$$

so the Output Object is defined purely by the Input Object and the Process Object and the Conveyance Function at that point in time.

But what if ${\Phi }_i={\Phi }_p=\varnothing$? Then

$${\phi }_o(t)=f(t)$$

so by implication, the Output Object is purely a function of the Conveyance Function at that point in time.

In other words, the Conveyance Function itself is the only origin for objective state.

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This all begs the question: what if we do just define a Conveyance Function to be the single basis for Objective State? What are the real consequences of this action?

Put in simple language: can we hardcode the Output State into the Conveyance Function?

And I know we can, but am not sure that we should

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The alternative, which conceptually I am far happier with, is to encode a notion of Measurement into the Universe, which is a subset of the Output Object which is not derived from the Conveyance Function.

$${\phi }_o(t)=f({\phi }_i(t),{\phi }_p(t),t)\cup {\tilde{\phi }}_o(t)$$

where: - ${\tilde{\phi }}_o$ is the Measured Output Object - $f({\phi }_i(t),{\phi }_p(t),t)\cap {\tilde{\phi }}_o(t)=\varnothing \forall t$ - ${\tilde{\phi }}_o\subset {\Phi }_o$ (by implication of ${\phi }_o\subset {\Phi }_o$)

This concept of Measurement allows us to develop the Output Object even if $F=\varnothing$, in which case

$${\phi }_o(t)={\tilde{\phi }}_o(t)$$

and thus the Output Space is fully derived from Measurement, and thus has no dependence on the ‘actual’ process, but is nevertheless bound to the objective reality through said Measurement.

This also affords the possibility for purely measurement processes, where

$${\phi }_o(t)=f({\phi }_i(t))\cup {\tilde{\phi }}_o(t)$$

where $f$ is the Identity Transformation:

$$f({\phi }_i(t))={\phi }_i(t)\forall t$$

and ${\tilde{\phi }}_o(t)$ is an additional Measurement upon the Input Object