Does the unconscious person (for an hour) pray while asleep, or do they wait until they wake up to pray?

Dizziness that subsides after an hour is not an excuse to waive the obligation of standing in prayer, because the default is to stand, and one does not deviate from it except for a valid, recognized legal excuse, due to the Prophet's (peace be upon him) saying to Imran ibn Husayn: "Pray standing; if you are unable, then sitting; and if you are unable, then on your side." Therefore, the worshiper must pray standing as long as the dizziness will subside in a short period, unless there is a fear of the prayer time expiring.