Lusanna, Luca and Pauri, Massimo
Dynamical Emergence of Instantaneous 3-Spaces in a Class of Models of General Relativity.
The Hamiltonian structure of General Relativity (GR), for both metric and tetrad gravity in a definite continuous family of space-times, is fully exploited in order to show that: i) the "Hole Argument" can be bypassed by means of a specific "physical individuation" of point-events of the space-time 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 "non-inertial appearances" (connected to gauge variables) of the same phenomena. ii) the chrono-geometric structure of a solution of Einstein equations for given, gauge-fixed, initial data (a "3-geometry" satisfying the relevant constraints on the Cauchy surface), can be interpreted as an "unfolding" in mathematical global time of a sequence of "achronal 3-spaces" characterized by "dynamically determined conventions" about distant simultaneity. This result stands out as an important conceptual difference with respect to the standard chrono-geometrical view of Special Relativity (SR) and allows, in a specific sense, for an "endurantist" interpretations of ordinary physical objects in GR.
|| To appear in the book "Relativity and the Dimensionality of the World", A. van der Merwe ed., Springer Series "Fundamental Theories of Physics".
||Achronal 3-spaces in GR - Distant simultaneity - Endurantism - Hole Argument - Non-inertial frames
||Specific Sciences > Physics > Relativity Theory
Prof. Massimo Pauri
||06 Dec 2006
||07 Oct 2010 15:14
Monthly Views for the past 3 years
Monthly Downloads for the past 3 years
Actions (login required)