Here's scientific evidence why everyone needs sleep to heal.
While you sleep, your brain is able to clean itself out of toxins and other things that it needs to.
http://news.sciencemag.org/brain-beh...te-brainwasher
I speculate that there are more things it needs to clean out after a concussion, which may be why people recovering from a concussion are so tired! And why it's such a good idea to rest when your body tells you that you need to.