General covariance and the objectivity of space-time point events: The Physical role of gravitational and gauge degrees of freedom in general relativity

摘要: (Abridged Abstract) This paper deals with a number of technical achievements that are instrumental for dis-solution the so-called {\it Hole Argument} in general relativity. The work is carried through metric gravity class Christoudoulou-Klainermann space-times, which temporal evolution ruled by weak} ADM energy. main results investigation following: 1) A re-interpretation active} diffeomorphisms as passive and metric-dependent} dynamical symmetries Einstein's equations, discloses their (up to now unknown) connection gauge transformations on-shell; understanding such also enlightens real content Argument}. 2) utilization Bergmann-Komar intrinsic coordinates} peculiar gauge-fixing superhamiltonian supermomentum constraints embodies on shell physical individuation} mathematical points $M^4$ point-events terms non-local degrees freedom gravitational field (Dirac observables). 3) clarification notion Bergmann observable} leads conjecture asserting existence i) special Dirac observables observables; ii) tensorial (scalar) variables.