Branching polymers and the fractal Cantorian spacetime

Within the framework of classical statistical mechanics, we draw some nontrivial connections and analogies between the Bethe model and quantum physics in Cantorian spacetime . In particular, we show that the and space although formally infinite-dimensional and appearing to be so, they have effectively a finite Hausdorff dimension d = 4 + φ3, where with the continuous fracture representation d = ( ).