(1) Algebra and Geometry Section, Department of Mathematics, University of Athens, Panepistimioupolis, 157 84, Greece;(2) Friedmann Laboratory for Theoretical Physics, SPb UEF, Griboyedova, 30–32, 191023 St. Petersburg, Russia
Abstract:
An algebraic quantization procedure for discretized spacetime models is suggestedbased on the duality between finitary substitutes and their incidence algebras.The provided limiting procedure that yields conventional manifold characteristicsof spacetime structures is interpreted in the quantum algebraic framework as acorrespondence principle.