Unconditional authority is a term used to describe a position of absolute power and control. However, there are several synonyms that can also convey a similar concept. For example, absolute power, autocracy, and tyranny all imply a situation where one person or group wields absolute control without regards for any opposition or checks on their power. Meanwhile, despotism, dictatorship, and absolutism all suggest an oppressive rule where people are subject to the whims and caprices of a ruthless leader. Overall, these words all carry a common theme of unchecked power and authority, making them useful synonyms for unconditional authority.