I'm attempting to recall an analogy from a paper about this subject. One of the authors gave the analogy of time being like a river. If we are traveling down

I'm attempting to recall an analogy from a paper about this subject. One of the authors gave the analogy of time being like a river. If we are traveling down this river, and the river is changing speed ahead (maybe due to rocks or a sharp bend), then it is correct to say that the river is changing the past (our present location in the river), since our speed would then start to change as we approach the new point.