Explaining Leibniz equivalence as difference of non-inertial appearances: Dis-solution of the Hole Argument and physical individuation of point-events

”The last remnant of physical objectivity of space-time” is disclosed in the case of a continuous family of spatially non-compact models of general relativity (GR). The physical individuation of point-events is furnished by the autonomous degrees of freedom of the gravitational field, (viz, the Dirac observables) which represent -as it were -the ontic part of the metric field. The physical role of the epistemic part (viz. the gauge variables) is likewise clarified as embodying the unavoidable non-inertial aspects of GR. At the end the philosophical import of the Hole Argument is substantially weakened and in fact the Argument itself dis-solved, while a specific four-dimensional holistic and structuralist view of space-time (called oint-structuralism) emerges, including elements common to the tradition of both substantivalism and relationism. The observables of our models undergo real temporal change: this gives new evidence to the fact that statements like the frozen-time character of evolution, as other ontological claims about GR, are model dependent.
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DOI 10.1016/j.shpsb.2006.03.006
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References found in this work BETA
What Price Spacetime Substantivalism? The Hole Story.John Earman & John Norton - 1987 - British Journal for the Philosophy of Science 38 (4):515-525.
Substantivalism, Relationism, and Structural Spacetime Realism.Mauro Dorato - 2000 - Foundations of Physics 30 (10):1605-1628.
Pre-Socratic Quantum Gravity.Gordon Belot & John Earman - 2001 - In Craig Callender & Nick Huggett (eds.), Physics Meets Philosophy at the Planck Scale. Cambridge University Press. pp. 213--55.
The Hole Truth.Jeremy Butterfield - 1989 - British Journal for the Philosophy of Science 40 (1):1-28.

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The Relativity of Inertia and Reality of Nothing.Alexander Afriat & Ermenegildo Caccese - 2010 - Studies in History and Philosophy of Science Part B 41 (1):9-26.

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