I just bought a guitar off craigslist, and right now the gauge strings in it is 10-52, but I was wondering if I can put 10-46 in there without messing with the nut..
It might make a difference if it's got a tremolo bridge...that is, if it's an electric.
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It has a floyd rose

You'll need to loosen the locking nut and then loosen the springs in the back of the guitar a little bit.