[osmarks]

There is at least one organization doing actual embedding-based search (Exa). I wrote about this a bit: https://docs.osmarks.net/hypha/osmarks.net_web_search_plan_%....

[Palmik]

Yes, I know Exa and have used them in the past for some side projects. Great product.

But that's still an index. Google also internally uses combination of traditional and sematic/embedding based indices.