yes, the universe has non-self existence. the universe is not a self but it exists all phenomena are not similar to nirvana. nirvana is the unconditioned. it is the uncaused. nirvana inherently exists. it is independent Nirvana has inherent existence but is empty. although nirvana inherently exists, it is not a 'self'. it is not-self (anatta). it is empty of self (sunnata). the logic of Nagarjuna sounds questionable, in appearing to assert a synonomity between 'existence' and 'self'. **** if we look down from above, upon the swirling mass that is the universe, it can be seen to exist. although there are no conditioned things in that universe that have inherent existence, the swirling mass itself swirls, moves & changes ceaselessly buddha taught nirvana inherently exists, because it is causeless. buddha taught the reality of conditionality (causes & effect), impermanence and unsatisfactoriness in regards to conditioned things inherently exists or "stands". buddha taught the non-selfhood of all things, including Nirvana, inherently exists or "stands"