The Routing Axis
The Routing axis distinguishes where a transformed result is routed. Its named operations are Loop-back and Propagation. Loop-back routes the transformed result into prior self-structure; Propagation carries it onward into a field, trace, another process, or future state.
Two questions in one transformation
Selection concerns admission and exclusion. Routing concerns the destination of the result. A transformation can answer both questions, and preserving one answer does not by itself preserve the other.
The current two-axis description distinguishes four joint configurations: admit-and-retain, admit-and-emit, exclude-and-retain, and exclude-and-emit. These configurations combine operators; they are not themselves the four individually named operators.
Distinctions and inventory
The framework's named inventory contains Toward, Away, Loop-back, and Propagation. The four combinations show the distinctions available in the current two-axis model. Their count alone does not prove a minimum number of operators for every possible representation.
An alternative carving must recover the selection and routing distinctions, their causal roles, and any further capacities it claims to improve. This supplies a concrete comparison while retaining the useful structure of the current axes.
Role in the framework
The Routing-axis bindings Apology and Gratitude compose Reconciliation. The axis identifies the primitive directions. A binding adds its regulated discrepancy; a Force adds the organization of the participating bindings.
Formal status
E: Derived, AC for the named operator semantics; FT for distinctions within the stated two-axis representation; CV for its adequacy as an inventory. A: maps the routing function without substituting joint-configuration counts for an operator-minimality argument. Provenance: the framework's directional architecture.
See also
The Directional Primitives · Loop-back · Propagation · The Selection Axis · Predicate Binding · Force