Everything everyone said above! Plus:
It could work as in if it was a loop instead of a full disk and the magnets crossed over the loop not around it like a CD or record plays. The voltage is determined by the number of such loops in series. The eddy currents would eat the power as stated earlier. This is current that circulates inside a thick or wide conductor [coil].
If you run the magnets around the circle of your disk [think record or CD] it is just an eddy brake and will produce only heat no useful electric power.
Eddy current brakes [linear] are used on roller coasters and the like because they are non contact ways to brake high speed heavy devices. It is a very well understood phenomenon. Google is your friend.
DanB and his guys did a stress test on a ribbon wire stator, I believe it was, using a tractor PTO it went up in smoke quite fast mostly from eddy currents if I recall right. The story is here someplace.
When the new board goes live these searches will actually work. This place is packed with so much great information a search will be all most questions need. Might get actually boring around here.
Sadly there are very few truly new ideas and mostly improved materials will drive innovation.
All fun stuff. Good luck sorting out how these beasts work.
Tom