#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.
Neuron
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