Hello everyone. I have just landed here. Forgive me if this issue has been already addressed.
I think that the review section is a great idea. It may potentially fix some bad practices have been occurring in theoretical physics.
I believe that authours should be notified of the reviews of their papers that have been written here. First, it is ethically better if authors are aware of these reviews because this way they can respond. And contacting them directly is more honest. Moreover, this will bring authors (experts) here faster.
This could be either enforced as a norm (perhaps eventually it could even done authomatically using the email address in the paper or in the abstract page in arXiv) or recommended to reviewers as a good practise.