with bitcoin there is a clear solution that is solved which pays out coins. How does "doing science" keep these objectives clear? who decides which research is worthy of free computing power? what prevents the corruption of a company submitting a huge project which would be worth a huge sum and somehow accepting a false solution from someone to get the payout?

Let's say the currency takes off and is HUGE! that means the cumulative computing power is potentially worth an equally HUGE amount. That could be worth millions or billions or possibly even trillions (in USD of course) in the future. When the currency is that big, how do you decide who gets it?

On the other hand, what happens if computing power limits are shattered and the most complex simulations can be simply run locally housed computers? What then drives the value of this coin? do we farm out the computing power for bizarre studies that are simply trying to find a reason to use the computing power? for example, if we can simulate every cell in a human body throughout a lifetime within seconds, so we just start throwing every chemical compound in ever dosage into humans to get simulations back of what is happening?

Is there any opportunity for for-profit companies to use this reasearch? or will for profit companies just have to create non-for profit sister companies who request specific research which they "share with the public" afterwards which conveniently provides the for-profit company with exactly what they wanted?

In the end, this sounds like a naive dream of someone who loves the idea of science but doesn't realize how the world actually works. Sure, it can survive as a novelty cybercurrency, but I would say it is equally if not more vulnerable to collapse than most traditional currencies, even more so if it became a major currency.