Maybe you are confusing a model of the Universe with the reality of an observable Universe. Time does not exist in an observable Universe. Time is merely a concept used in modelling. It is like a yard, a metre, a pound...they are concepts and don't exist in reality. They are useful only in modelling. But don't confuse the concept of time with a "river of time". "Rivers of Time don't exist in the Observable Universe...only in models. Time, as a concept, can do anything you want it to in a model. But Time, as a concept, cannot interact with gravity (which is not a concept but is real and exists in and of itself). We only use time and gravity together in models... not in reality. Models can lead you to madness. I say, stick with the observables in this Universe and you will be happier.
-- Updated August 1st, 2016, 12:14 pm to add the following --
When you say, "Hardly surprising, I guess, seeing as infinities are, by their nature, not physically realizable. " What if you are wrong? An infinite universe makes more sense to me than a "bounded" universe. Because with a "bounded" universe, you always have the question of "what is beyond the boundary?" Only in modelling can you have a "bounded" universe. In reality...having a physical end to the Universe makes no sense. I'm more comfortable with an infinite Universe...and thus, a infinite amount of physical objects.
-- Updated August 1st, 2016, 1:07 pm to add the following --
Grant-Silver wrote:Science tells us at the moment of the Big Bang gravity was infinite.
Now it has been proven scientifically that the greater the gravity field the slower time flows slower relative to that on an object under a lesser gravity field.
Thus my question is how could time flow out of an infinite gravity field of the big bang singularity?
It has not been proven that time is effected in any way by gravity. Any "Two Clock" experiment, no matter how accurate the two clocks are, only shows how gravity effects the physical clock itself. It is only natural than any physical clock will be effected by gravity and also, that any two clocks will be effected differently even at the atomic level. Gravity has absolutely no effect on time because time is a concept, like a mile or a pound, and gravity is real. To make it simpler....real stuff can't be effected by imaginary stuff. I always thought that "two clock" experiments were a "waste of time".