Many of those require a paradigm shift in our understanding of Universe, so I am not sure they are achievable with any convex combination of existing knowledge.

Many of those require a paradigm shift in our understanding of Universe, so I am not sure they are achievable with any convex combination of existing knowledge. We'd need some sharp mind connecting the dots but with heavy use of AI and incentives to use it, we might just never give a chance for such mind to arise.