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Change does not ontollogically exist. We just experience change, our brains construct it. Therefore time cannot have any dependence on change. Time exist even if system is static. We can only define change if time exists.I don’t see how time couldn’t exist without change.
Yes, that is the true statement.You couldn’t measure it, but the flow of time would still be even if the world stopped changing.
According to the physicist Julian Barbour, time space continuum is doomed. Space can be an emergent phenomena. Time exists and cannot be initiated or created. You can read more here.Especially if there is a space time continuum
Everyone in string theory is convinced…that spacetime is doomed. But we don’t know what it’s replaced by. We have an enormous amount of evidence that space is doomed. We even have examples, mathematically well-defined examples, where space is an emergent concept…. But in my opinion the tough problem that has not yet been faced up to at all is, “How do we imagine a dynamical theory of physics in which time is emergent?” …All the examples we have do not have an emergent time. They have emergent space but not time. It is very hard for me to imagine a formulation of physics without time as a primary concept because physics is typically thought of as predicting the future given the past. We have unitary time evolution. How could we have a theory of physics where we start with something in which time is never mentioned?