The Identity Space

• Objective Identity

• The Objective Identity Needs a Home

• Identity as Intrinsic to the Model

• Structure of the Objective Identity

• Generators for all Processes

• The Identity Transformation

Objective Identity is in membership with the Objective Space, and is a special domain shared by all Objects. Objective Identity enables the Objective Lifetime Tree.

The minimum requirement for a fully-defined Objective Space is to have an Identity Space forming a sub-domain of the Objective Space.

$$\Omega =\{\Phi ,F\}$$

There has to be a tight binding between a given process and the Objective Identity, even going as far to say that the Identity of an Object is a property derived from the Process, and that it is tightly bound also to the Process Time.

It is at this point that we introduce the first Primitive Process, the Creative Transform:

flowchart LR

P -- OUT --> OUTPUT:::hidden

classDef hidden display: none;

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

with $\tilde{\phi }(t)=\varnothing$