Lusanna, Luca and Pauri, Massimo
(2006)
Dynamical Emergence of Instantaneous 3Spaces in a Class of Models of General Relativity.
[Preprint]
Abstract
The Hamiltonian structure of General Relativity (GR), for both metric and tetrad gravity in a definite continuous family of spacetimes, is fully exploited in order to show that: i) the "Hole Argument" can be bypassed by means of a specific "physical individuation" of pointevents of the spacetime manifold M^4 in terms of the "autonomous degrees of freedom" of the vacuum gravitational field (Dirac observables), while the "Leibniz equivalence" is reduced to differences in the "noninertial appearances" (connected to gauge variables) of the same phenomena. ii) the chronogeometric structure of a solution of Einstein equations for given, gaugefixed, initial data (a "3geometry" satisfying the relevant constraints on the Cauchy surface), can be interpreted as an "unfolding" in mathematical global time of a sequence of "achronal 3spaces" characterized by "dynamically determined conventions" about distant simultaneity. This result stands out as an important conceptual difference with respect to the standard chronogeometrical view of Special Relativity (SR) and allows, in a specific sense, for an "endurantist" interpretations of ordinary physical objects in GR.
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