Time cannot exist without change. Change cannot exist when the entropy is zero. When the entropy is a maximum time can exist on average but it is irrelevant because on average nothing changes (everything is in equilibrium). So whether we are going towards maximum or zero entropy, there must have been an initiation of "change" or else we would experience either zero entropy or maximum entropy. This would be the case (in fact has to be the case) if time has had an infinite existence. So it cannot have had an infinite existence. It had to appear at the "beginning" of what we now know. Call it creation or whatever you fancy. Time sucks!!!

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