  Black holes violate the third law of thermodynamics in its standard
formulation. Schwarzschild black hole entropy is inverse proportional to the
square of the temperature $S=1/(16 \pi T^2) $ and tends to infinity rather than
zero when the temperature goes to zero. We search for quantum statistical
models with such exotic thermodynamic behaviour. It is shown that the
Schwarzschild black hole in $D=4 $ spacetime dimensions corresponds to a Bose
gas in a space with $d=-\, 4$ negative spatial dimensions. The Riemann zeta
function is used to define the entropy of the Bose gas in negative dimension.
The correspondence between black holes in higher dimensions and de Sitter
spacetime with Bose gases is considered.
