  In this paper we calculate the zero point energy density experienced by
observers on M^4 due to a massless scalar field defined throughout M^4 x T^2_F,
where T^2_F are fuzzy extra dimensions. Using the Green's function approach we
calculate the energy density for the commutative torus and the fuzzy torus. We
calculate then the energy density for the fuzzy torus using the Hamiltonian
approach. Agreement is shown between Green's function and Hamiltonian
approaches.
