Perspectives of the Numerical Order of Material Changes in Timeless Approaches in Physics

Abstract

Wheeler–deWitt equation as well as some relevant current research (Chiou’s timeless path integral approach for relativistic quantum mechanics; Palmer’s view of a fundamental level of physical reality based on an Invariant Set Postulate; Girelli’s, Liberati’s and Sindoni’s toy model of a non-dynamical timeless space as fundamental background of physical events) suggest that at a fundamental level the background space of physics is timeless, that the duration of physical events has not a primary existence. By taking into consideration the two fundamental theories of time represented by the Jacobi-Barbour-Bertotti theory and by Rovelli’s approach, here it is shown that the view of time as emergent quantity measuring the numerical order of material changes (which can above all be derived from some significant current research, such as Elze’s approach of time, Caticha’s approach of entropic time and Prati’s model of physical clock time) introduces a suggestive unifying re-reading.