If the universe is infinitely large, does that mean it is also infinitely small? Could there be a universe existing on the tip of my pencil eraser? Does that mean when I squeeze my hands together there is still an infinite amount of space between them?
by 
techobo
ANSWERS: 3
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No, no, and no. Something infinitely large is not infinitely small.
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All goes down to linguistics. You'd have to answer Yourself what do these words mean: large, infinite, infinitely, small, universe, existing, is, between, space.
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That's an interesting question, and I would ask it another way (perhaps it's not what you meant?): "Is there a limit on the scale of the really small? In other words, at some point is there a minimum size for something, which all things must be larger or equal?" The answer seems to be no. There is something called the "Planck Length", which is about 1.6x10^-35 meters. But even this length is not a limit an absolute limit, but at these scales, quantum forces are immense, and current physics doesn't have a working theory for things smaller than this. And this is at least partially because we cannot probe matter anywhere near this scale. Even the LHC will be tens of orders of magnitude away from that. Some more info here: http://en.wikipedia.org/wiki/Planck_length
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