Local scale invariance, Cantorian space-time and unified field theory

We develop field theoretic arguments for the unification of relativistic gravity with standard model interactions on El Naschie's Cantorian space-time. The work proceeds by showing the equivalence between the fundamental principle of local gauge invariance and the local scale invariance of space-time and matter fields undergoing critical behavior on high-energy scales. We focus on the transition boundary between the classical and non-classical regimes, the latter being characterized by generalized scaling laws with continuously varying exponents. Both relativistic gravity and standard model interactions emerge from the underlying geometry of Cantorian space-time near this transition boundary. (C) 2004 Elsevier Ltd. All rights reserved.