The proof of work needs to be tied to the block. It also needs to be very quick to verify but hard to compute (like getting a hash under a certain value). With scientific problems, you may need to solve a problem, then ever node on the network solves the same problem to verify what you did - which would waste a hell of a lot of resources!
The proof of work needs to be tied to the block. It also needs to be very quick to verify but hard to compute (like getting a hash under a certain value). With scientific problems, you may need to solve a problem, then ever node on the network solves the same problem to verify what you did - which would waste a hell of a lot of resources!