Nobody in Constantinople ever called the state Byzantine; the word is a coinage of sixteenth century scholarship. Its subjects called themselves Rhomaioi, Romans, and understood their empire as the same one Augustus had founded, now Christian and now Greek speaking. Constantine refounded the city of Byzantion as his capital in 330, and for eleven centuries it remained the seat of an emperor who claimed universal authority under God.
The emperor's place in the church was the central and unresolved question of Byzantine political theology. He convened the ecumenical councils, confirmed their canons, appointed and deposed patriarchs, legislated on heresy and processed inside the sanctuary at his coronation. He was not a priest and could not celebrate the liturgy, yet Gilbert Dagron's study of the imperial office shows how persistently Byzantine ceremonial reached for priestly imagery, and how the western label of caesaropapism flattens a relationship in which patriarchs excommunicated emperors and monks brought them down.
Justinian I, who reigned from 527 to 565, is the clearest case of the two powers in one hand. He legislated on the theology of the Trinity, closed the Athenian schools, forced the bishops of the empire to condemn texts he disliked, and rebuilt Hagia Sophia after the Nika riot, dedicating in 537 a domed church so large that no builder attempted its equal for nine hundred years.