In the present study, an oscillatory model of the universe is proposed wherein the universe undergoes a sequence of big bang, expansion, contraction, big bang—repeated ad infinitum. The universe comprises of a “World” and an “Antiworld” in both of which matter operates in the positive time zone and antimatter in the negative time zone. Big bang is predicted as the violent encounter between matter and antimatter. It is suggested that antimatter has negative mass and is hugely abundant. It is also shown why it is extremely rare in spite of its abundance. It is predicted that a built in transformation converts matter to antimatter and vice versa. Finally, it is established that symmetry between matter and antimatter in the universe is maintained throughout.