Mathematical Models of Spacetime in Contemporary Physics and Essential Issues of the Ontology of Spacetime :: Physics Papers

Mathematical Models of Space fourth dimension in Contemporary Physics and inherent Issues of the Ontology of Space eonABSTRACT The general theory of relativity and field theory of issuing generate an interesting ontology of space-time and, generally, of nature. It is a monistic, anti-atomistic and geometrized ontology in which the substance is the system of measurement field to which all fleshly events are reducible. Such ontology refers to the Cartesian rendering of corporeality and to Platos ontology of nature presented in the Timaeus. This ontology provides a solution to the dispute mingled with Clark and Leibniz on the issue of the ontological independence of space-time from distribution of events. However, numeral models of space-time in physics do not solve the riddle of the difference amidst time and space dimensions (invariance of equations with regard to the inversion of time arrow). Recent research on space-time singularities and asymmetrical in time quantum theo ry of gravitation will perhaps allow for the solution of this riddle based on the structure of space-time and not merely on thermodynamics. Since the General Theory of relativity theory is a fundamental model of spacetime, well-nigh often used as a starting point for a physicists research, I will begin my analysis with an attempt to formulate the consequences of the GTR for spacetime ontology and, generally, ontology of nature. The antecedent remark, however, has epistemological character. The formulation of the GTR resulted in definite fall of a imperious thesis of distinguished value of the 3-dimensional Euclidean geometry, as the only geometric structure, adequate for a description of nature. This thesis was formulated explicitly by Kant, who considered this structure to be apriori form of inspection, and as such it was to validate the science. Kants epistemology was created primarily to validate science, whose best developed part was embodied in the absolute mechanics. Ho wever, the attitude of the authors of the field theory of matter towards Kants epistemology was not negative at all, which can be proved by the words of Weyl, who, although confessed that in himself a philosopher had been dominated by a mathematician, began his work Space, Time, Matter with philosophical considerations wedded to the question of time and space, considerations comparable to those of Kant.The formulation of the General Theory of Relativity was of major importance for the spacetime ontology, mainly because it ended the famous debate between Clarke and Leibniz concerning the ontological status of spacetime. In this debate Clarke defended the Newtons position in which he emphasized ontological independence of time and space with regard to physical events.