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Propagation

Propagation is one of the framework's four directional primitives: the bare structural move by which a transformation step emits its transformed result outward — into a field, another system, a medium, a trace, or a future state. It is the outward-routing operator. The word may evoke generosity or broadcast, but propagation is not a feeling; it is unexperienced structure, the direction a step points when it sends its output beyond itself rather than back inside.

What it does

Every recursive step has a codomain side — once it has transformed something, it must route the result somewhere. Propagation is the outward choice on that side, the counterpart of Loop-back, which returns the result into the system. Together they constitute the Routing axis, the framework's name for the codomain-side choice. Routing is one of the two carving axes of the primitive set; the other is the domain-side Selection axis (toward / away).

The breadth of propagation's targets is deliberate: a field, another system, a medium, a trace, or a future state all count as "outward." Loosely, and only as illustration, it resembles emission or transmission — a signal sent down a wire, a message left for someone who is not present, a mark pressed into a medium that will outlast the act. The operator names only the sending-outward, never any felt urge to give.

A note on naming: the seed called this operator outward (symbol ↻). The rename to propagation is exact and structure-preserving — terminology, not architecture.

Its role in the wider framework

Propagation is load-bearing as the actuator in the next rung up, predicate binding, where an emotion is a primitive paired with a regulated error signal driven toward zero. Propagation is the actuator inside Gratitude = (propagation, undischarged received value): the propagation that discharges undischarged received value — the discrepancy between value received and value carried forward. As the framework puts it, ingratitude hoards that value while Gratitude discharges it into continuation. So Gratitude is built from propagation; propagation is not built from Gratitude. The noun outwardness is a conceptual derivative abstracted from the bound primitive, not itself primitive.

Propagation should also be kept distinct from the framework's larger aim of outward continuation. The Telos and symbolic immortality involve propagating structure across time, but those are higher constructions; the primitive operator is only the bare outward-routing move they draw on.

Common misreadings

The signature mistake is to read propagation as Gratitude — to treat the emotion as the primitive. The predicate does not define the primitive, and the primitive is not reducible to the predicate; inverting them is the cardinal error, which caps any exposition that commits it. A second misreading conflates the bare operator with the Telos's propagation aim; the primitive is the elementary move, not the goal. A third takes propagation as a generous mood; it is bare structure, its felt namesake being gloss with no probative weight. Finally, Routing does not collapse into Selection — the four primitive combinations are behaviorally distinct.

Formal status

Formal status. Epistemic: Derived, authority-canonical — the operational semantics (emit the result outward) are fixed by the controlling authority; contestable by contesting that authority. Alethic: aspires to map an elementary directional move of any transformation step; that the operator is bare and unexperienced is itself the accurate claim. Provenance: canonical (the rename from the seed's outward is treatise-side terminology over a seed architecture).

See also

Loop-back · The Routing Axis · The Directional Primitives · Gratitude · Predicate Binding · The Selection Axis · Conceptual Derivatives · The Telos · The Cardinal Error