String theory says there are extra dimensions, too tiny to detect. Will the accelerating expansion of the universe eventually inflate these dimensions to be big enough to affect anything perceptibly?

The article I saw said these dimensions are a billionth of a nanonmeter in size, which is about the scale the strong & weak force work on, so I imagine not much growth would be needed to mess with them.

If I remember rightly these tiny dimensions are what make gravity weak so inflating them could even prevent dark energy from tearing all the matter in the universe apart.