 Quote by texta
I guess my question really asks: How can the other variable become arbitarily large when it is limited by C?
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Neither position nor momentum is limited by C; both can assume arbitrarily large values. *Velocity* is limited by C, but *momentum* is not. (To show this, of course, you need to include the effects of relativity--but you need to do that anyway if you're considering measurements over time and distance scales of years and light-years.)