This transformative effect might happen through all sorts of designs, not necessarily strictly religious.
Consider, for example, a music concert where one is radically removed from everyday life. Very loud music and excited dance or movement, as at a rock concert or in a nightclub, might leave us feeling like we have entered a different world.
We might leave the event feeling completely disoriented. A religious ritual might leave us the same way.
Consider, for example, rituals of deity possession. The particular rituals might be reserved for that special occasion, removing us from daily life, and rendering us vulnerable to embodiment by a deity.