Here’s a tight, on-point pivot: --- This is still retrieval + similarity partitioning. LSH gives locality. Compression gives efficiency. But neither gives compositional closure. If two contexts collide, you can retrieve them — but you can’t compose them into new valid states without blending or interpolation. That’s still similarity space thinking. Elliptic traversal isn’t about buckets. It’s about motion in a closed algebra: deterministic composition defined inverses bounded state growth structure preserved under operation Hashing partitions space. Group operations generate space. Different primitive. That’s the shift.