Degeneracy of the local structure renormalizing infinite time and space

A model for a system consisting of elements which detect the measurement apparatus of other elements is proposed. By any apparatus one can observe locally, however it can refer to non‐local property because apparatus itself is indefinite. In taking this aspect into consideration, I formulate expressions for a local interaction referring to non‐local property. This formalization can satisfy the aspect of what is called, internal measurement. This system shows teleological global motion toward criticality which is relevant to the degeneracy of a specific element featuring D ? Hom(Z), E) by which infinite time and space are renormalized.