A Note on Quantum Field Theory and P-brans innDimensions

Euclidean n−1 dimensional spheres are postulated as P-brans sweeping an n dimensional world sheet. It is conjectured that the resulting space, S (∞) , is a hierarchical one with an effective topological dimension equal to theexpectationvalue of n, where 0 n ∞. Numerical estimation shows that n = dimT S (∞) is very close to the topological dimensionof actualspacetime.