Attempting the First Process

• The Need for Time
• A Universe of Possibility
• The Conveyance Function
• Walking Back Up the Chain
• The Object Lifetime Tree
• Processes are Objects
• A Real Example

see The First Process, for the conclusion of this The natural first process to model with TIM is the CXO2 Production Process, which is where it all started.

see ii for figure.

The basis of developing the Object Lifetime Tree is to have a developed Object Conveyance Model, functionally binding the Output Space to the Input Space.

A developed Object Conveyance Model provides ${\phi }_o=f({\phi }_i)$ where $f$ is an invertible (post note, does in need to be invertible?) function binding the output ${\phi }_o$ to the input ${\phi }_i$.

The constitution of $\phi$ is fairly relaxed, we take $\Phi ={\mathbb{R}}^{1\times M}$

There is nothing after this point as I realised that I am not ready to model the CX02 Production Process yet

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Let us take a simpler example: the essential creative process:

see iii for figure

where the function of $P$ in this case is to produce objects, under the discrete…?

Take ${\Phi }_o$ to be the Object Output Space of $P$.

The case of the creative process is interesting because we have ${\Phi }_i=\varnothing$ and thus if the conveyance function were of the form

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

then ${\phi }_o=f(\varnothing )⟹{\phi }_o$ has only one possible state.

[!side-note] further, for any conveyance function, we can say ${\Phi }_o=f({\Phi }_i)$ i.e. the same conveyance model can map the space as a whole.

There is a side-note on this side-note stating that there is a function mapping between the spaces themselves, but that it is $F$, rather than $f$.

from i, we can see, for the output product and thus the output space to occupy a domain greater than a single point, the conveyance function must map through an additional space.

The Process Configuration space $\Theta$ provides the internal dependance for output variance.

What if our process model does simply not account for a functional mapping in its representation?