My neighbor the lawyer just told me that if you sign your name on an application where you affirm that all information is true to the best of your knowledge, and you are caught lying, you have committed perjury and if a prospective employer had it in for you, could take legal action against you although it is easier, faster and a whole lot cheaper to show you the door and not let you back in.
He also told me that in the state of NJ (as well as a few other states, but he is unsure which) there is a law on the books that makes it illegal to lie on a job application (even if you dont “sign here” to confirm everything you wrote is true). Again, will you be prosecuted for it? Probably not.