Abstract
General relativity theory (GRT) tells us that (a) space and time should be viewed as an entity (called spacetime), (b) the spacetime of a world that contains gravitational objects should be viewed as curved, and (c) spacetime is a dynamical object with a dynamically changing extent and curvature. Attempts to achieve compatibility of GRT with quantum theory (QT) have typically resulted in proposing elementary units of spacetime as building blocks for the emergence of larger spacetime objects. In the present paper, a model of curved discrete spacetime is presented in which the basic space elements are derived from Causal Dynamical Triangulation. Spacetime can be viewed as the container for physical objects, and in GRT, the energy distribution of the contained physical objects determines the dynamics of spacetime. In the proposed model of curved discrete spacetime, the primary objects contained in spacetime are “quantum objects”. Other larger objects are collections of quantum objects. This approach results in an accordance of GRT and quantum (field) theory, while coincidently the areas in which their laws are in force are separated. In the second part of the paper, a rough mapping of quantum field theory to the proposed model of spacetime dynamics is described.
Highlights
Discussions on any area of physics are hardly imaginable without having some assumptions about the structure of space and time
The main conclusion from the work described in this paper is that it requires a causal model to describe the dynamics of a complex area of physics, such as GRTcompatible spacetime
The second importantnding is that pure general relativity theory (GRT) is not a su±cient base for deriving a complete and detailed causal model of spacetime dynamics
Summary
General relativity theory (GRT) tells us that (a) space and time should be viewed as an entity (called spacetime), (b) the spacetime of a world that contains gravitational objects should be viewed as curved, and (c) spacetime is a dynamical object with a dynamically changing extent and curvature. Attempts to achieve compatibility of GRT with quantum theory (QT) have typically resulted in proposing elementary units of spacetime as building blocks for the emergence of larger spacetime objects. A model of curved discrete spacetime is presented in which the basic space elements are derived from Causal Dynamical Triangulation. In the proposed model of curved discrete spacetime, the primary objects contained in spacetime are \quantum objects". Other larger objects are collections of quantum objects. This approach results in an accordance of GRT and quantum ( ̄eld) theory, while coincidently the areas in which their laws are in force are separated. In the second part of the paper, a rough mapping of quantumeld theory to the proposed model of spacetime dynamics is described
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