  Based on the connection between Tsallis nonextensive statistics and
fractional dimensional space, in this work we have introduced, with the aid of
Verlinde's formalism, the Newton constant in a fractal space as a function of
the nonextensive constant. With this result we have constructed a curve that
shows the direct relation between Tsallis nonextensive parameter and the
dimension of this fractal space. We have demonstrated precisely that there are
ambiguities between the results due to Verlinde's approach and the ones due to
fractional calculus formalism. We have shown precisely that these ambiguities
appear only for spaces with dimensions different from three. Hence, we believe
that this is a result in favor of our three dimensional world.
