KNOT COMPLEMENT WITH A 3-SPHERE VOLUME AS A MODEL FOR E-(INFINITY) SPACETIME

This short note argues that the Cantorian space E((infinity)), with it s effective invariant Hausdorff dimension d(h)=4, can be thought of in terms of a knot complement, K,. We show, for a specific knot K-c. tha t the hyperbolic volume for the three manifold K-c = R-3 - K is V(K-c) similar or equal to V(S-(4)), where S-(4) is a three sphere in R-4. ( C) 1998 Elsevier Science Ltd. All rights reserved.