INTRINSIC ALGEBRAIC CHARACTERIZATION OF SPACE-TIME STRUCTURE

Starting from a partially ordered set of C*-algebras R(1), representing algebras of observables of physical subsystems, we derive a topological Hausdorff space M as a candidate for some generalized ''space-time'' with the help of which one can define a net O --> A(O), O subset of or equal to M, of algebras. This opens a way to define a physical theory without an underlying metaphysical manifold, an aspect which may be relevant for the unification of general relativity and quantum field theory.