Knot Complement with a Three Sphere Volume as a Model for e (∞ ∞) Spacetime

This short note argues that the Cantorian space E (∞) , with its effective invariant Hausdorff dimension dh=4, can be thought of in terms of a knot complement,Kc. We show, for a specific knot K, that the hyperbolic volume for the three manifold Kc=R3−K is V (Kc) sime;V (S (4) ) , where S (4) is a three sphere in R4.