What is a Scientific approach to Law and Epistemology?
Courts have to make a definite decision (that can only be appealed so often) about what the law is in every given case. The law reduces uncertainty. 

Scientific progress builds on fallibility, at least in the empirical sciences. The final proof is always elusive, postponed indefinitely. And because every provisional answer invites new questions, science produces uncertainty. 

Both systems can, fundamentally, not be reconciled, because they operate according to different logics.