Quantum Space-Time as the Set of Shapeless Finite Fundamental Elements

Abstract

The idea of space-time as a combination of shapeless fundamental elements is proposed. The history of the development of ideas about the discrete space-time structure is analyzed. Quantum space-time is considered as a set of quantum states defined on a set of discretizations with an arbitrary shape of the boundaries of regions. The fundamental element of such space-time is described by the totality of its probabilistic characteristics. We consider a concept in which space-time is the only quantum object, and all material particles and interaction carriers are described as excited states of the fundamental elements of this quantum object.