Crack open the back of your guitar....wait....is it a tremelo or string-thru bridge?  If you have an access plate in the back of your guitar, open it up and look for the ground wire that has come loose.

If the above == not true, then your electronics may have lost their ground.  Crack open your volume / tone / wiring loom area, and check for loose wires there, as well.

And finally, try a different amp, like at a music shop.
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Taken out of context I must seem so strange - Ani DiFranco
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