I second that motion, especially the EDP thing. Call 9-1-1 and ask for an ambulance, your father will have to go then, because when they suddenly show up, he won't have a choice, because they'll be there and have to take him. You can talk to your father calmly and explain he does not realize some of the stuff you've witnessed, that it's too big a danger that he hit his head and the vomiting might be from it, and he must trust you, and go. You can also say, "I wouldn't have called an ambulance unless I was sure, Dad." He is a grown man, so he has to be treated with respect, he must maintain his dignity through the process.
He needs to go the emergency room immediately. This second. Call the police if necessary and have him brought in to the emergency room as an EDP (emotionally disturbed person). His brain is swelling and the window of opportunity to treat this is being lost. The swelling causes confusion and affects judgement.