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The Substantivalist View of Spacetime Proposed by Minkowski and Its Educational Implications

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Abstract

The geometrical interpretation of general relativity provides the formalism with intuitive imagery (Chandler 1994). Such an interpretation often presupposes a substantival space: a space taken to be a real entity whose existence is independent of the matter contained. Nowadays an image of space-container seems to have wide acceptance among physicists. Special relativity is, however, usually still taught as the theory which overthrew Newton's absolute concepts (among which is the idea of a space-container).

This inconsistency is considered here. Special relativity can also be interpretedsubstantivally, as Minkowski did in 1908. His substantivalism is the key to layingout an internally coherent substantivalist line running from Newtonian mechanicsto general relativity.

Another plausible interpretative line, namely the ‘relationist line’, will be mentioned.It will allow us to conclude with remarks concerning the cultural and educationalimplications of a consistent interpretative apparatus organised in several interpretativelines.

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References

  • Alexander H. G. (ed.): 1956, The Leibniz-Clark Correspondence, Manchester University Press, Manchester.

    Google Scholar 

  • Bergia, S.: 1990, ‘Strutture e Dimensionalità dello Spaziotempo: Realtà, Modello o Occasione di formalismo?’, in F. Selleri & V. Tonini (eds), Dove va la Scienza. La Questione del Realismo, Dedalo, Bari.

    Google Scholar 

  • Bergia, S.: 1995, ‘Formulari, Interpretazioni, Ontologie: Il Caso delle Teorie Relativistiche’, in G. Giuliani (ed.), Ancora sul Realismo, La Goliardica Pavese, Pavia.

    Google Scholar 

  • 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. (ed.): 1997, Filosofia della Fisica, Mondadori, Milan.

    Google Scholar 

  • Boniolo, G. & Dorato, M.: 1997, ‘Dalla Relatività Galileiana alla Relatività Generale’, in G. Boniolo (ed.), Filosofia della Fisica, Mondadori, Milan.

    Google Scholar 

  • Bridgman P. W.: 1949, ‘Einstein's Theories and the Operational Point of View’, in P. A. Schilpp (ed.), Albert Einstein: Philosopher-scientist, The Library of Living Philosophers.

  • Chandler, M.: 1994, ‘Philosophy of Gravity: Intuitions of Four-Dimensional Curved Spacetime’, Science & Education 3: 155-176.

    Google Scholar 

  • Earman, J. & Norton, J.: 1987, ‘What Price Spacetime Substantivalism? The Hole Story’, Brit. J.Phil. Sci. 38, 515-525.

    Google Scholar 

  • Einstein, A.: 1905, ‘Zur Elektrodynamik bewegter Korper’, Annalen der Physik XVII, 891-921. (On the Electrodynamics of Moving Bodies, 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. 37–65).

    Google Scholar 

  • Einstein, A.: 1916, Ñber die spezielle und allgemeine Relativitätstheorie (gemeinveständlich) (Relativity, The Special and the General Theory: A Popular Exposition, 15th ed. R. W. Lawson, trans. London, Methuen, 1954).

    Google Scholar 

  • Einstein, A.: 1922, Vier Vorlesungen über Relativitätstheorie, Vieweg & Sohn, Braunschweig (The Meaning of Relativity, Princeton University Press).

    Google Scholar 

  • Einstein A.: 1952, Relativity and the Problem of Space, in Einstein 1954, Ideas and Opinions, ed. Crown Publisher, trans. Sonja Bergmann, New York.

    Google Scholar 

  • Einstein, A.: 1954, Ideas and Opinions, trans. Sonja Bergmann, Crown Publisher, New York.

    Google Scholar 

  • Friedman, M.: 1983, Foundations of Space-Time Theories, Princeton University Press.

  • Galison, P. L.: 1979, ‘Minkowski's Space-Time: From Visual Thinking to the Absolute World’, Historical Studies in the Physical Sciences 10, 85-121.

    Google Scholar 

  • Giannetto, E.: 1995, ‘Note Storico-critiche sul Mutamento e il ‘Realismo’: Henri Poincaré la Relatività Speciale e le Teorie Fisiche’, in G. Giuliani (ed.), Ancora sul Realismo, La Goliardica Pavese, Pavia.

    Google Scholar 

  • Holton, G.: 1973, Thematic Origins of Scientific Thought: Kepler to Einstein, Harvard University press, Cambridge, MA.

    Google Scholar 

  • Holton, G.: 1992, ‘How to Think about the “Anti-science” Phenomenon’, Public Understanding of Science 1, 103-128.

    Google Scholar 

  • Holton, G.: 1996, Einstein, History, and Others Passions. The Rebellion against Science at the End of the Twentieth Century, Addison Wesley Publishing Co.

  • Jammer, M.: 1954, The History of Theories of Space in Physics, Harvard University Press, Cambridge, MA.

    Google Scholar 

  • Kattmann, U., Duit, R., Gropengießer, H., Komorek, M.: 1996, ‘Educational Reconstruction-bringing Together Issues of Scientific Clarification and Students’ Conceptions', paper presented to the Annual Meeting of the National Association of Research in Science Teaching (NARST), St. Louis, MO.

  • Kostro, L.: 1992, ‘An Outline of the History of Einstein's Relativistic Ether Concept’, in J. Eisenstaedt and A. J. Kox (eds), Studies in the History of General Relativity, Einstein Studies, Vol. 3, Birkhäuser, Boston, MA.

    Google Scholar 

  • Levrini, O.: 1999, ‘Teaching Modern Physics on the Basis of a Content Knowledge Reconstruction’, Proceedings of the Second International Conference of E.S.E.R.A., Kiel (Germany), 31 August–4 September, pp. 247-249.

  • Levrini, O.: 2000, ‘Analysing the Possible Interpretations of the Formalism of General Relativity. Implications for Teaching’, Ph.D. Dissertation, Physics Department, University of Bologna, Italy.

    Google Scholar 

  • Levrini, O.: 2002, ‘Reconstructing the basic-concepts of General Relativity from an Educational and Cultural Point of View’, accepted for publication on Science & Education.

  • Leibniz, G. W. & Clarke, S.: 1717, A Collection of Papers which Passed between the Late Learned Mr. Leibniz and Dr. Clarke, London, 1717.

  • Lorentz, H. A., Einstein, A., Minkowski, H. & Weyl, H.: 1952, The Principle of Relativity. A col-lection of Original Memoirs on the Special and General Theory of Relativity (with notes by A. Sommerfeld), Dover Publications, New York.

    Google Scholar 

  • 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).

  • Mach, E.: 1912, Preface of 7th ed. Die Mechanik in ihrer Entwickelung, historisch-kritisch dargestellt, 1883.

  • Matthews, M. R.: 1992, ‘History, Philosophy and Science Teaching: The Present Rapprochement’, Science & Education 1, 11-47.

    Google Scholar 

  • Matthews, M. R.: 1994, ‘Science Teaching: The Role of History and Philosophy of Science’, Routledge, New York/London.

    Google Scholar 

  • Minkowski, H.: 1908, ‘Die Grundgleichungen für die elektromagnetische Vorgänge in bewegten Körpen’, in Abhandlungen von Minkowski, Hilbert, pp. 352-404.

  • 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 A. Sommerfeld), Dover Publications, New York, pp. 73-96).

    Google Scholar 

  • Misner, C. W., Thorne, K. S. & Wheeler, J. A.: 1970, Gravitation, W. A. Freeman and Co., San Francisco, CA.

    Google Scholar 

  • Nerlich, G.: 1994, What Spacetime Explains. Metaphysical Essays on Space and Time, Cambridge University press, Cambridge.

    Google Scholar 

  • Newton, I.: 1686, Philosophiae naturalis principia mathematica.

  • 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, MA.

    Google Scholar 

  • Pais, A.: 1982, ‘subtleistheLord...’ The Science and the Life of Albert Einstein, Oxford University Press.

  • Poincaré, J. H: 1905, ‘Sur la Dynamique de l'Électron’, Comptes Rendus de L'Académie des Science.

  • Poincaré, J. H.: 1906, ‘Sur la Dynamique de l'Électron’, Rendiconti del Circolo Matematico di Palermo.

  • Poincaré, J. H.: 1913, Dernières Pensées, Flammarion, Paris.

    Google Scholar 

  • Resnick, R.: 1968, Introduction to Special Relativity, John Wiley & Sons, Inc., New York/London.

    Google Scholar 

  • Rindler, W.: 1977, Essential Relativity, Springer Verlag, New York.

    Google Scholar 

  • Schilpp, P. A. (ed.): 1949, Albert Einstein: Philosopher-scientist, The Library of Living Philosophers.

  • Schutz, R. F.: 1985, A First Course in General Relativity, Cambridge University Press, Cambridge.

    Google Scholar 

  • Sklar L.: 1974, Space, Time, and Spacetime, University of California Press, Berkeley and Los Angeles, CA.

    Google Scholar 

  • Weinberg, S.: 1972, Gravitation and Cosmology, J. Wiley & Sons, New York.

    Google Scholar 

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Levrini, O. The Substantivalist View of Spacetime Proposed by Minkowski and Its Educational Implications. Science & Education 11, 601–617 (2002). https://doi.org/10.1023/A:1019607F12

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