How did the political and religious ideas of the Byzantine Empire compare with the Western Empire?

Western Europe was msotly decntralised politclay which led to teh creation of local government and control of central authority in religious matters pope was seen as leader and head of the Churchm in the Byztaine emprie emperoro was autcorat system was cnetralised and emperoro held supreme religious power over patrarchs it was known as cesaropapis, in western euorpe secular power and religious power were sperated concepts coined in augustinian philospohy