Gravity and Time

As we all know, time slows down in the presence of immense gravity. At the top of a mountain, time passes at one rate. At the base of the mountain, it goes slightly slower (almost immeasurable due to the small variance in gravity). There are long-standing and well-established theories and explanations for why this is the case.

My thought is what if we have it backward? What if gravity isn't impeding anything and is instead allowing time to do what it wants: to stand still? Time advances and entropy ensues, but wouldn't it rather not advance? Doesn't a ball want to roll downhill to reach the bottom and then stop rolling? Perhaps time is "rolling downhill" until it reaches a natural stopping point (absolute gravity). 

Does that mean in the beginning when everything existed at a single point, time stood still? And the disbursement of everything across unimaginable distances has thinned gravity sufficiently that time advances faster as the universe expands? Is it expanding faster, as we tell ourselves? Or is the progression of time faster from our point of view?

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