A data stream is offloaded into a quaternion delta chain, block-telescoped, and
recreated by SLERP. Section boundaries telescope back exactly (~1e-15) for any data; the interior
is recovered faithfully for smooth/structured streams and dropped for high-entropy noise — a lossy
“engram” recreation, the memory strand a router-oracle nests for compressed history.
Stream
Recreation telemetry
section-boundary error—
RMSE / std (interior)—
sections—
verdict—
Honest notes
The boundary exactness is the telescoping identity (a product of unit quaternions is a
unit quaternion) and holds for any stream. The interior is lossy: SLERP keeps smooth
structure (low RMSE) and discards uncorrelated noise (RMSE/std → 1). Keeping each block in the
principal branch (|Σ|<π, via SCALE=0.04) is what makes the recreation stable.