runtime: transduction decomposes a signal, it does not convert it
#144 moved transduction into the language and got the dispatch right. It got the result type wrong: transduce(signal, modality) -> Geometry yields one vector per signal, and one vector is a fingerprint. A fingerprint can be matched and ranked; that is all. It cannot be decomposed, cannot have one part grounded while another is not, and cannot be contradicted in one part while holding in another, because it has no parts. A song is not a point. It decomposes into pitch, interval, rhythm, harmonic function -- components, each with its own geometry, plus the relations among them. The song IS the structure of the relations. transduce now returns a Manifold: named components carrying geometry, and typed weighted relations between them. Signal in, subgraph out. Components are addressed by key, never by index, because the key is what survives persistence -- a component becomes a node and is separately groundable precisely because it is separately named. Relation weight IS the grounding (correspondence-and-censorship.md 1), so a realizer's relations arrive already grounded and there is no score computed beside them.
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@@ -625,20 +625,70 @@ el_val_t geometry_free(el_val_t g); /* 1 if freed, 0 if not a
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el_val_t geometry_from_f32le_hex(el_val_t hex); /* 0 on empty/odd-length/non-hex */
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el_val_t geometry_to_f32le_hex(el_val_t g); /* "" if not a Geometry */
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/* ── Realizers + transduce ───────────────────────────────────────────────────
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* A REALIZER maps one modality into geometry. Registration is by NAME, so a
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* new modality never requires a runtime patch: every El `fn name(...)`
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* compiles to a global C symbol with that exact name, and the registry
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* resolves it with dlsym against the running binary — the same mechanism
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* http_set_handler already relies on.
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/* ── Manifold: the result of a transduction ──────────────────────────────────
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* A transduced signal is a SUBGRAPH — named components, each with its own
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* geometry, plus typed weighted relations among them — not a single vector.
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* One vector is a fingerprint: matchable, rankable, and nothing else. A song
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* decomposes into pitch, interval, rhythm, harmonic function; the song IS the
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* structure of those relations, and collapsing it to a point discards exactly
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* what made it reasonable-about. See el_runtime.c ("Manifold") for the full
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* rationale, the key-addressing rule, and the ownership contract.
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*
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* fn tone_realizer(signal: String) -> Geometry { ... }
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* Components are addressed BY KEY, never by index, because the key is what
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* survives persistence: a component becomes a node, and it is separately
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* groundable precisely because it is separately named. Relation weight IS the
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* grounding (correspondence-and-censorship.md §1) — one quantity, no separate
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* score, nothing computed on read.
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*
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* OWNERSHIP: a Manifold is owned by the El caller and released with
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* manifold_free, which also releases every component's geometry. manifold_add
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* COPIES the geometry it is given and manifold_geometry RETURNS a copy, so no
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* component's vector is ever aliased in either direction. */
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el_val_t manifold_new(void); /* empty; 0 on failure */
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el_val_t manifold_is(el_val_t m); /* 1 if a live Manifold */
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el_val_t manifold_add(el_val_t m, el_val_t key, el_val_t role, el_val_t g);
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/* component index, or -1 on empty/duplicate
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* key or a value that is not a Geometry */
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el_val_t manifold_relate(el_val_t m, el_val_t from, el_val_t rel,
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el_val_t to, el_val_t weight);
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/* 1 ok / 0 if either endpoint is unknown —
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* an unresolvable edge is REFUSED, never
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* silently dropped */
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el_val_t manifold_size(el_val_t m); /* component count */
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el_val_t manifold_rel_count(el_val_t m); /* relation count */
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el_val_t manifold_index_of(el_val_t m, el_val_t key); /* index by key, or -1 */
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el_val_t manifold_key(el_val_t m, el_val_t i); /* "" if out of range */
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el_val_t manifold_role(el_val_t m, el_val_t i); /* "" if out of range */
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el_val_t manifold_geometry(el_val_t m, el_val_t i); /* a COPY the caller frees */
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el_val_t manifold_rel_from(el_val_t m, el_val_t j); /* source component key */
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el_val_t manifold_rel_name(el_val_t m, el_val_t j); /* relation name */
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el_val_t manifold_rel_to(el_val_t m, el_val_t j); /* target component key */
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el_val_t manifold_rel_weight(el_val_t m, el_val_t j); /* Float — the grounding */
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el_val_t manifold_single(el_val_t key, el_val_t role, el_val_t g);
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/* the degenerate one-part case, expressible
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* but visibly a size-1 manifold rather than
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* a parallel path back to a bare vector */
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el_val_t manifold_free(el_val_t m); /* 1 if freed, 0 otherwise */
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/* ── Realizers + transduce ───────────────────────────────────────────────────
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* A REALIZER DECOMPOSES one modality into components and relations. It does
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* not encode a signal to a point; that operation is one layer below and is
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* called geometry. Registration is by NAME, so a new modality never requires a
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* runtime patch: every El `fn name(...)` compiles to a global C symbol with
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* that exact name, and the registry resolves it with dlsym against the running
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* binary — the same mechanism http_set_handler already relies on.
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*
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* fn tone_realizer(signal: String) -> Manifold { ... }
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* realizer_register("tone", "tone_realizer")
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* let g: Geometry = transduce(sample, "tone")
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*/
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* let m: Manifold = transduce(sample, "tone")
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*
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* SUPERSEDES #144's `transduce -> Geometry`. A realizer that still returns a
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* bare Geometry now transduces NOTHING (transduce returns 0), deliberately: an
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* organ that only fingerprints must not be indistinguishable from a working
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* one. A modality with genuinely one part says so with manifold_single. */
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el_val_t realizer_register(el_val_t modality, el_val_t fn_name); /* 1 ok / 0 unresolved */
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el_val_t realizer_has(el_val_t modality); /* 1 if a realizer is registered */
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el_val_t transduce(el_val_t signal, el_val_t modality); /* Geometry, or 0 if no organ */
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el_val_t transduce(el_val_t signal, el_val_t modality); /* Manifold, or 0 if no organ */
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/* ── Engram local graph primitives ───────────────────────────────────────────
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* Operate on the CGI's local Engram knowledge graph.
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