  The fuzzball construction resolves the black hole information paradox by
making spacetime end just before the horizon is reached. But if there is no
traditional horizon, then do we lose the elegant relations of black hole
thermodynamics? Using an argument similar to modular invariance, we argue that
the answer is no; the completeness of fuzzball states implies that the generic
fuzzball indeed reproduces the thermal properties attributed to the traditional
hole.
