MG11 
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Algebraic Approach to `Quantum Spacetime Geometry'

In General Relativity, the topology of spacetime is an entity which is given once and forever. From the operationalistic, quantum mechanical point of view this deprives the topology the status of an observable value. Recently a mathematical formalism for treating spacetime topology (in particular, the description of spacetime foam in algebraic terms) as a quantum observable was provided by the authors. The suggested formalism lacked in operationalistic treatise as no binding it with at least thought experiment was provided. For that, the histories approach to Quantum Mechanics was drawn in order to pass from description in terms of vectors in Hilbert spaces to more realistic issues like records of experimental events. In this contribution we make the next step and provide explicit combinatorial schemes to recover the effective topology of spacetime foam.