Let visitors post comments on category page

I’m looking for a way to let users comment categories on category.php, but I haven’t been able to find one. Simple pasting didn’t do the trick (didn’t really expect it to.)

For clarification, I’m not looking for users to comment posts in category.php, but rather to comment the category itself. Is it possible?

Short answer: No, it is impossible, if we are talking about WP way, because it was not provided by WP architecture.

It could be done if you create your own plugin (or implement it as a part of theme). To do it you need to create custom table and implement logic for saving comments and displaying comments.