Quantum stabilization of compact space by extra fuzzy space

We investigate the quantized scalar field on the Kaluza-Klein spacetimes of M^D × T^d × S_FZ, where M^D is the ordinary D-dimensional flat Minkowski spacetimes, T^d is the d-dimensional commutative torus, and S_FZ is a noncommutative fuzzy two-sphere with a fixed quantized radius. After evaluating the one-loop correction to the spectrum we use the mass-corrected term to compute the Casimir energy of the scalar field on the model spacetime. It is seen that, for some values of D and d, the Casimir energy due to vacuum fluctuation in the model spacetimes could give rise a repulsive force to stabilize the commutative torus.