4.15 Higher-order Adeptness-like dimensional lineage

Let A denote primitive Adeptness. Define A_star,1=A. At each higher zig-zag step, the newly added negative Infrafunction coordinate can interact with the inherited Hyperfunctional state to produce a new Adeptness-directed dimension A_star,n+1.

A_star,1 = A

A_star,n+1 in Gamma_A(H_n, Z_n)

A_star,n+1 ~_A A, but A_star,n+1 != A_star,j for every j <= n

This gives a rigorous way to say 'higher-order adeptness' without corrupting the primitive 100% rule. The primitive Adeptness coordinate never rises beyond 100%; instead the ADEPTNESS-DIRECTED FAMILY gains additional typed members.

AdeptnessFamily(H_n) = {A, A_star,2, A_star,3, ..., A_star,n, ... as generated}

An A_star dimension may behave like a form of skillfulness, mastery, executional elegance, competence, precision, or some more alien higher-order analogue, but it is not definitionally reducible to any one ordinary-language description. Its key formal property is that it is new, distinct, and Adeptness-directed.