Leibniz’ Series and the Problem of Dynamics in the Quantization of Gravity

Abstract

The problem of time appears in the fundamental physics in a context of some attempts to formulate the quantized model of general relativity and it shows the inadequacy of many metaphysical assumptions underlying the principles of classical physics. The author uses the Leibnizian ontological model in order to demonstrate that the conceptual core of this problem could be basically identified in the context of tension between the principle of completeness of the world histories, and the reality of dynamics. He describes shortly modern cosmological model of the growing causets in order to show the similar construction in the area of theoretical physics and the necessity of generalizing the notion of „dynamics”. The author puts the thesis that the ontology of quantum block-universe not only doesn’t exclude some dynamics, but it might also assume it on the fundamental level of description of the nature while preserving the physical general covariance and giving up the external, absolute time.