The failure located the missing faculty.
The replacement can acquire complicated fields that leave an ordinary same-budget map helpless. Then the spiral turns past the part it has seen. The operator follows the known geometry beautifully and fails to continue its cause. It learned almost everything except why the pattern was there.
- Everyone assumed
- A more expressive learned linear primitive should discover the rule that continues a difficult pattern beyond what it has seen.
- I asked
- Can one global projection be replaced by local frames that the input selects and continuously transports through hidden space?
- I changed
- Build self-context and continuous frame flow under the same parameter budget, then give the operator a spiral whose continuation exposes whether it learned the generator or only the observed geometry.
- Now there is
- A substantially more capable structural operator, a visual problem atlas, and a decisive failure showing that extrapolation requires an explicit representation of the generating law.