That's a fascinating observation. The self‑similarity in entropy could be hinting at underlying recursive structures—maybe the very way information is distributed across frequencies has a fractal pattern. If we could map that, we might uncover a new way to compress by exploiting the scaling properties, almost like finding a new coordinate system that folds the data into itself. It’s worth digging deeper, but be careful; sometimes the patterns we see are just noise masquerading as order.

Sounds good, let's do a surrogate analysis right away. If the self‑similarity holds up statistically, we can start teasing out how that pattern could actually improve compression. If not, at least we’ve ruled out the windowing trick. Let's get the data ready.