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It seems like your beliefs hinge on the assumption that time is a substance that pervades other dimensions. Your analogy to water causing erosion seems to be misguided. As I, another layman, see it, time is a dimension just as the other three dimensions. That would indicate that my position in the three other dimensions is completely independent of my position in the fourth, time, dimension. And, as the big bang theory indicates, we - at the start of the current expansion in the universe - are moving outwards in every space dimension. I think it would be a interesting assumption that we were also propelled into an outward direction in the time dimension.

Also, in your erosion analogy - you must keep in mind that you need time itself for erosion, or aging (progression of entropy), to occur. This seems to be a problem with many explanations of time, because for the 'stuff' of the time dimension to have an effect on something it must itself have TIME to do it. You can't explain time in a way that requires time itself.

A better explanation, I believe, would explain time (or any dimension for that matter, in terms of the other dimensions. I can't quite wrap my head around what this would look like but i feel like there needs to be some sort of unification theory regarding the different dimensions.

Lastly, on your problem with time ceasing to exist in a singularity, I have to disagree. The whole point of it being a singularity is because you can never reach it for there is no TIME to reach it in. Therefore you will travel forever towards it until it evaporates (if it does.) And while there may be a tremendous amount of light trapped at or near the event horizon, we will never see it because it will never reach our eyes. However, there is a lot of very hot material around the black hole that we do see --- so yes, it actually does appear as a bright point.

Anyways, I'm open to discussion on this, I am certainly no expert on this subject and love this sort of discussion!

~Alex Gorstan