Semiclassical dimensions, quantum groups and the Cantorian manifold

We introduce a semi classical dimension for the ε(∞) manifold and draw attention to some instructive connections between quantum groups, KAM Theorem, the signature of four manifolds and the dimension of the nuclear spacetime of quantum physics. It is shown that while quantum space dimension is 4+φ3 for dc(0)=φ where we have a quantum-classical transition to exactly four dimensions when dc(0) → 1. Finally we have introduced a new quantum-classical spacetime dimension SQC which gives the obvious result SQC=3 for dc(0)=1. Subsequently we show how spin 1/2 and time arise in a natural way from a fluctuating space filling three dimensional space.