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The Hamiltonian structure of General Relativity (GR), for both metric andtetrad gravity in a definite continuous family of space-times, is fullyexploited in order to show that: i) the "Hole Argument" can be bypassed bymeans of a specific "physical individuation" of point-events of the space-timemanifold $M^4$ in terms of the "autonomous degrees of freedom" of the vacuumgravitational field ("Dirac observables"), while the "Leibniz equivalence" isreduced to differences in the "non-inertial appearances" (connected to "gauge"variables) of the same phenomena. ii) the chrono-geometric structure of asolution of Einstein equations for given, gauge-fixed, initial data (a"3-geometry" satisfying the relevant constraints on the Cauchy surface), can beinterpreted as an "unfolding" in mathematical global time of a sequence of"achronal 3-spaces" characterized by "dynamically determined conventions" aboutdistant simultaneity. This result stands out as an important "conceptualdifference" with respect to the standard chrono-geometrical view of SpecialRelativity (SR) and allows, in a specific sense, for an "endurantist"interpretations of ordinary "physical objects" in GR

Dynamical Emergence of Instantaneous 3-Spaces in a Class of Models of General Relativity