Abstract
Research in the history and philosophy of physics hasshown that the formalism of General Relativity can be interpreted in several different ways and,consequently, its teaching is very problematic. The present contribution is an example of a reconstruction of thedebate concerning the foundations of General Relativity on the basis of cultural and educational criteria.In particular, the debate will be presented as guided by the concept of space, and by the different perspectives from whichsuch a concept can be viewed. It will be pointed out that the various ways of looking at space give powerfulcriteria not only to create an order among the interpretations, but also to exploit the educational and culturalvalue of the debate.
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References
Alexander, H.G. (ed.): 1956, The Leibniz-Clark Correspondence, Manchester University Press, Manchester.
Barbour, J. & Pfister, H. (eds.): 1995, Mach's Principle. From Newton's Bucket to Quantum Gravity, Einstein Studies, Vol. 6, Birkhäuser, Boston.
Bevilacqua, F.: 1999, ‘Teaching Controversy in Teaching Science’, plenary lecture at the Second Joint Conference–Science as Culture–Como-Pavia (www.cilea.it/volta99).
Boniolo, G. & Dorato, M.: 1997, ‘Dalla relatività galileiana alla relatività generale’, in G. Boniolo (ed.), Filosofia della fisica, Mondadori, Milano, pp. 5-167.
Boyd, R.: 1979, ‘Metaphor and Theory Change: What is “Metaphor” a Metaphor for?’, in A. Ortony (ed.), Metaphor and Thought, Cambridge University Press, Cambridge, pp. 356-408.
Earman, J. & Norton, J.: 1987, ‘What Price Substantivalism? The Hole Story’, Brit. J.; Phil. Sci. 38, 515-525.
Einstein, A.: 1916a, ‘Die Grundlage der allgemeinen Relativitätstheorie’, Annalen der Physik,Vol. 49 (‘The Foundation of the General Theory of Relativity’, in H.A. Lorentz, A. Einstein, H. Minkowski & H. Weyl (1952), The Principle of Relativity. A Collection of Original Memoirs on the Special and General Theory of Relativity (with notes by A. Sommerfeld), Dover Publications, New York, pp. 109-164).
Einstein, A.: 1916b, Ñber die spezielle und allgemeinen Relativitätstheorie (gemeinveständlich) (Relativity, The Special and the General Theory: A Popular Exposition, 15th edn, R. W. Lawson, trans., Methuen, London, 1954).
Einstein, A.: 1952, Relativity and the Problem of Space, in A. Einstein (1954), Ideas and Opinions, trans. Sonja Bergmann, Crown Publisher, New York.
Einstein, A.: 1954, Ideas and Opinions, trans. Sonja Bergmann, Crown Publisher, New York.
Friedman, M.: 1983, Foundations of Space-Time Theories, Princeton University Press, Princeton.
Giannetto, E.: 1995, ‘Henri Poincaré and the Rise of Special Relativity’, Hadronic Journal Supplement 10, 365-433.
Grimellini Tomasini, N., Levrini, O., Casadio, C., Clementi, M. & Medri Senni, S.: 1999, ‘Insegnare fisica per nuclei fondanti: un esempio riferito al concetto di spazio’, La Fisica nella Scuola XXXII(4), 202-213.
Hawking, S.W. & Ellis, G.F.R: 1973, The Large-Scale Structure of Space-Time, Cambridge University Press, London and New York.
Kretschmann, E.: 1917, ‘Ñber den physikalischen Sinn der Relativitätspostulate, A. Einstein's neue und seine ursprüngliche Relativitätstheorie’, Annalen der Physik 53, 575-614.
Levrini, O.: 1999, ‘Relatività ristretta e concezioni di spazio’, Giornale di fisica XL(4), 205-220.
Levrini, O.: 2000a, Analysing the Possible Interpretations of the Formalism of General Relativity: Implications for Teaching, Ph.D. dissertation, Physics Department, University of Bologna, Italy.
Levrini, O.: 2000b, Teaching Modern Physics by a Modern Teaching of Classical Physics. The Case of General Relativity, pre-print.
Mach, E.: 1883, Die Mechanik in ihrer Entwickelung, historisch-kritisch dargestellt (The Science of Mechanics: A Critical and Historical Account of its Development, La Salle; Open Court, 1960).
Minkowski, H.: 1909, Raum und Zeit, Physikalische Zeitschrift 10(3), 104-111 (‘space and Time’, in H.A. Lorentz, A. Einstein, H. Minkowski & H. Weyl (1952), The Principle of Relativity. A Collection of Original Memoirs on the Special and General Theory of Relativity (with notes by Sommerfeld), Dover Publications, New York, pp. 73-96).
Misner, C.W., Thorne, K.S., Wheeler, J.A.: 1970, Gravitation, W.A. Freeman and Co., San Francisco.
Norton, J.: 1989, ‘What was Einstein's Principle of Equivalence?’, in D. Howard & J. Stachel (eds.), Einstein and the History of General Relativity, Einstein Studies, Vol. 1, Birkhäuser, Boston, pp. 5-47.
Norton, J.: 1992, ‘The Physical Content of General Covariance’, in J. Eisenstaedt & A.J. Kox (eds.), Studies in the History of General Relativity, Einstein Studies, Vol. 3, Birkhäuser, Boston, pp. 281-315.
Ortony, A. (ed.): 1979, Metaphor and Thought, Cambridge University Press, Cambridge.
Pais, A.: 1982, Subtle is the Lord..., The Science and the Life of Albert Einstein, Oxford University Press, Oxford.
Pauli, W.: 1921, ‘Relativitätstheorie’, in A. Sommerfeld (ed.), Encyklopädie der mathematishen Wissenshaften, mit Einschluss ihrer Anwendungen, Vol. 5, Physik, part 2. B.G. Teubner, Leipzig, 1904’1922, pp. 539-775 (Theory of Relativity, Pergamon, London, 1958).
Poincaré, J.H.: 1902, La Science et l'Hypothèse, Flammarion, Paris.
Schutz, R.F.: 1985, A First Course in General Relativity, Cambridge University Press, Cambridge.
Sciama, D.W.:1953, ‘On the Origin of Inertia’, Mon. Not. R.A.S. 113, 34-42.
Sciama, D.W.: 1959, The Unity of the Universe, Faber and Faber, London.
Sciama, D.W.: 1969, The Physical Foundations of General Relativity, Doubleday & Company, Inc.
Smolin, L. 1997: The Life of the Cosmos, Oxford University Press, New York, Oxford.
Speziali, P. (ed.): 1972, Albert Einstein–Michele Besso. Correspondence 1903-1955, Hermann, Paris.
Weinberg, S.: 1972, Gravitation and Cosmology, Wiley and Sons, New York.
Weinberg S.: 1992, Dreams of a Final Theory, Wintage.
Wheeler, J.A.: 1990, A Journey into Gravity and Spacetime, W.H. Freeman and Company, New York.
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Levrini, O. Reconstructing the Basic Concepts of General Relativity from an Educational and Cultural Point of View. Science & Education 11, 263–278 (2002). https://doi.org/10.1023/A:1015297814508
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DOI: https://doi.org/10.1023/A:1015297814508