Explaining Leibniz equivalence as difference of non-inertial appearances: Dis-solution of the Hole Argument and physical individuation of point-events |
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Authors: | Luca Lusanna Massimo Pauri |
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Affiliation: | aSezione INFN di Firenze, Polo Scientifico, Via Sansone 1, 50019 Sesto Fiorentino (FI), Italy;bDipartimento di Fisica-Sezione Teorica, Universita’ di Parma, Parco Area Scienze 7/A, 43100 Parma, Italy;cSezione INFN di Milano, Gruppo Collegato di Parma, Italy |
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Abstract: | “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 dissolved, while a specific four-dimensional holistic and structuralist view of space–time (called point-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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Keywords: | Hole Argument Leibniz equivalence Structuralism Dirac observables Gauge variables Non-inertial frames |
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