Algebraic Approach to 'quantum Spacetime Geometry'

Details Algebraic Approach to 'quantum Spacetime Geometry' Algebraic Approach to 'quantum Spacetime Geometry'

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.2806r&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

Mathematics

Scientific paper

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 quantity. 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.

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