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Re:EU Open Web Search project kicked off by grishka on Tuesday September 20, 2022 @09:26PM (#32919920)
ActivityPub is not well suited for this application. It's for publishing activities made by actors — hence the name. You'll want to invent your own federation protocol specifically for federated search.
Re:EU Open Web Search project kicked off by boyter on Wednesday September 21, 2022 @12:36AM (#32920841)
Last time I checked there was something in there for search...

Even so you could base it on activitypub I suspect. It would need to be extended for sure to implement the sorts of things believe would be required.