What are the postulates of the Minkowski space

Hermann Minkowski and the postulate of relativity

Bibliography

  1. Born, M. 1909 "Inert mass and the principle of relativity," Ann. Phys. 28, 571–584.

    Google Scholar

  2. Born, M. 1909a "The theory of the rigid electron in the kinematics of the principle of relativity," Ann.Phys. 30, 1–56.

    Google Scholar

  3. Born, M. 1962 Einstein's Theory of Relativity, New York, Dover.

    Google Scholar

  4. Born, M. 1978 My Life: Recollections of a Nobel Laureate, New York, Scribner's.

    Google Scholar

  5. Cohn, E. 1902 "About the equations of the electrodymagnetic field for moving bodies," Ann. Phys. 7, 29–56.

    Google Scholar

  6. Corry, L. 1997 “David Hilbert and the Axiomatization of Physical Science (1894-1905),” in Arch Hist. Ex. Sci. 51, 83–198

    Google Scholar

  7. Corry, L.1998 “Hilbert and Physics, 1900–1915,” in J. Gray (ed.) Geometry and Physics, 1900-1930, Oxford, Oxford University Press (Forthcoming).

    Google Scholar

  8. Corry, L. 1998a “Hilbert's way to General Relativity,” in J. Renn (ed.) Alternatives to Einstein's General Relativity Theory (Forthcoming).

  9. Darrigol, O. 1993 "The Electrodynamic Revolution in Germany as Documented by Early German Expositions of‘ Maxwell's Theory ’," Arch. Hist. Ex. Sci. 45, 189–280.

    Google Scholar

  10. Earman, J. and C. Glymour. 1978 "Einstein and Hilbert: Two Months in the History of General Relativity," Arch. Hist. Ex. Sci. 19, 291–308.

    Google Scholar

  11. Einstein, A. 1907 "Comments on the note from Mr. Paul Ehrenfest:‘ The translation of deformable electrons and the set of surfaces ’," Ann. Phys. 202-208. (Repr. In Stachel et al. (Eds.) 1989, Doc. 44.)

  12. Einstein, A. 1907a “On the principle of relativity and the conclusions drawn from it,” Yearbook of radioactivity and electronics 4, 411-462. (Repr. In Stachel et al. (Eds.) 1989, Doc. 47.)

    Google Scholar

  13. Einstein, A. and J. Laub. 1908 "About the basic electromagnetic equations for moving bodies," Ann. Phys. 26, 532-540. (Repr. In Stachel et al. (Eds.) 1989, Doc. 51.)

    Google Scholar

  14. Einstein, A. and J. Laub. 1908a "About the ponderomotive forces exerted on bodies at rest in electromagnetic fields," Ann. Phys. 26, 541-550. (Repr. In Stachel et al. (Eds.) 1989, Doc. 52.)

    Google Scholar

  15. Galison, P. L. 1979 "Minkowski's Space-Time: From Visual Thinking to the Absolute World," Hist. Stu. Phys. Sci. 10, 85–121.

    Google Scholar

  16. Hawkins, T. 1984 “The Erlangen program of Felix Klein: Reflections on Its Place in the History of Mathematics, " Hist. Math. 11, 442–470.

    Google Scholar

  17. Hilbert, D. 1905 Logical Principles of Mathematical Thought, Ms. Lecture SS 1905, annotated by E. Hellinger, Library of the Mathematical Institute, University of Göttingen.

  18. Hilbert, D. 1908 principles of mathematics, Ms. Lecture SS 1908, Library of the Mathematical Institute, University of Göttingen.

  19. Hilbert, D. 1909 "Hermann Minkowski," God. To. (1909) 72-101. (Repr. In Math. Ann. 68(1910), 445–471.)

  20. Hilbert, D. 1910-1 mechanics, Ms. Lecture WS 1910–11, annotated by F. Frankfurther, Library of the Mathematical Institute, University of Göttingen.

  21. Hilbert, D. 1912–3 Molecular Theory of Matter, Ms. Lecture WS 1912–13, annotated by M. Born, Max Born estate # 1817, City Library, Berlin, Prussian Cultural Heritage Foundation.

  22. Hilbert, D. 1913-4 Electromagnetic oscillations, Ms. Lecture WS 1913-14, Library of the Mathematical Institute, University of Göttingen.

  23. Hilbert, D. 1924 "The grand positions of physics," Math. Ann. 92, 1–32.

    Google Scholar

  24. Hirosige, T. 1966 "Electrodynamics before the Theory of Relativity," Japanese Studies in the History of Science 5, 1–49.

    Google Scholar

  25. Hirosige, T. 1976 "The Ether Problem, the Mechanistic Worldview, and the Origins of the Theory of Relativity," Stu. Hist. Phi. Sci. 7, 3–82.

    Google Scholar

  26. Klein, F. 1910 "About the geometrical foundations of the Lorentz group," Annual DMV 19, 281–300.

    Google Scholar

  27. Klein, F. 1926–7 lectures on the development of mathematics in the 19th century, 2 Vols., Ed. By R. Courant and O. Neugebauer, Berlin, Springer. (Chelsea reprint, New York, 1948.)

    Google Scholar

  28. Lorentz, H. A. 1900 “Considérations sur la Pesanteur,” Archives néerlandaises 7 (1902), 325–338.

    Google Scholar

  29. Lorentz, H. A. 1904a "Electromagnetic Phenomena in a System Moving with Velocity Smaller than that of Light," Versl. Con. Akad. Wet. Amst. 6, 809-831. (Reprinted in A. Einstein et al. The Principle of Relativity, New York, Dover, 11-34.)

    Google Scholar

  30. McCormmach, R. 1970 "HA. Lorentz and the Electromagnetic View of Nature, " Versl. Con. Akad. Wet. Amst. 61, 457–497.

    Google Scholar

  31. Madelung, E. 1912 "The ponderomotor forces between point charges in a diffuse electromagnetic radiation fill spaces and the molecular forces," Phys. Z. 13, 489–495.

    Google Scholar

  32. Mehra, J. 1974 Einstein, Hilbert, and the Theory of Gravitation, Dordrecht, Reidel.

    Google Scholar

  33. Miller, A. I. 1973 "A Study of Henri Poincaré's Sur la dynamique de l'electron’, " Arch. Hist. Ex. Sci. 10, 207–328.

    Google Scholar

  34. Miller, A. I. 1981 Albert Einstein's Special Theory of Relativity. Emergence (1905) and Early Interpretation (1905–1911), Reading, Mass., Addison-Wesley.

    Google Scholar

  35. Minkowski, H. GA Collected Treatises, ed. by D. Hilbert, 2 vols. Leipzig 1911. (Chelsea reprint, New York 1967.)

  36. Minkowski, H. 1888 "About the movement of a solid body in a liquid," Meeting reports of the Berlin Academy 1888, 1095–1110.

    Google Scholar

  37. Minkowski, H. 1906 “Capillarity,” in A. Sommerfeld (ed.) Encyclopedia of Mathematical Sciences, including its applications, V (physics), 558-613.

  38. Minkowski, H. 1908 "The basic equations for the electromagnetic processes in moving bodies," God. To. (1908), 53-111. (Repr. In GA Vol. 2, 352-404.)

  39. Minkowski, H. 1909 "Space and time," Phys. Z. 10, 104-111. (Repr. In GA Vol. 2, 431-444.)

    Google Scholar

  40. Minkowski, H. 1910 "A derivation of the basic equations for the electromagnetic processes in moving bodies from the point of view of electron theory (from the estate of Hermann Minkowski, edited by Max Born)," Math. Ann. 68, 526-556. (Repr. In GA Vol. 2. 405-430.)

    Google Scholar

  41. Minkowski, H. 1915 "The principle of relativity," Ann. Phys. 47, 927–938.

    Google Scholar

  42. Minkowski, H. 1952 "Space and Time" (English transl. By W. Perrett and G.B. Jeffery of Minkowski 1909), in Lorentz et al. The Principle of Relativity, New York, Dover, 73-91.

    Google Scholar

  43. North, J. D. 1965 The Measure of the Universe, Oxford, Clarendon Press.

    Google Scholar

  44. Norton, J. D. 1984 "How Einstein Found his Field Equations: 1912–1915," Hist. Stu. Phys. Sci. 14, 251-316. (Repr. In D. Howard and J. Stachel (eds.) Einstein and the History of General Relativity, Einstein Studies Vol. 1 (1989), Boston, Birkhäuser, 101-159.)

    Google Scholar

  45. Norton, J. D. 1992 "Einstein, Nordström and the Early Demise of Scalar, Lorentz-Covariant Theories of Gravitation," Arch. Hist. Ex. Sci. 45, 17–94.

    Google Scholar

  46. Norton, J. D. 1993 "General Covariance and the Foundations of General Relativity," Reports on Progress in Physics 56, 791–858.

    Google Scholar

  47. Pais, A. 1982 Subtle is the Lord. The Science and the Life of Albert Einstein, New York, Oxford University Press.

    Google Scholar

  48. Planck, M. 1907 "On the dynamics of moving systems," Berl. Ber. 13, 542-570. (Repr. In Ann. Phys. 26(1908), 1–34.)

    Google Scholar

  49. Poincaré, H. 1905 La valeur de la science, Paris.

  50. Poincaré, H. 1908 Science et méthode, Paris. (English translation: Science and Method, New York, Dover n.d.)

  51. Pyenson, L. 1977 "Hermann Minkowski and Einstein's Special Theory of Relativity," Arch. Hist. Ex. Sci. 17, 71-95. (Repr. In Pyenson 1985, 80–100.)

    Google Scholar

  52. Pyenson, L. 1979 "Physics in the Shadows of Mathematics: the Göttingen Electron-theory Seminar of 1905," Arch. Hist. Åx. Sci. 21, 55-89. (Repr. In Pyenson 1985, 101–136.)

    Google Scholar

  53. Pyenson, L. 1985 The Young Einstein - The Advent of Relativity, Bristol and Boston, Adam Hilger Ltd.

    Google Scholar

  54. Reich, K. 1994 The development of the tensor calculus. From the absolute differential calculus to the theory of relativity, Basel / Boston / Berlin, Birkhäuser.

    Google Scholar

  55. Rüdenberg, L. and H. Zassenhaus (eds.) 1973 Hermann Minkowski - letters to David Hilbert, Berlin / New York, Springer.

    Google Scholar

  56. Seelig, C. 1954 Albert Einstein, Zurich, Europa Verlag.

    Google Scholar

  57. Sigurdsson, S. 1994 “Unification, Geometry and Ambivalence: Hilbert, Weyl and the Göttingen Community,” in K. Gavroglu et al. (eds.) Trends in the Historiography of Science, Dordrecht, Kluwer, 355–367.

    Google Scholar

  58. Sommerfeld, A. 1910 “On the theory of relativity. I. Four-dimensional vector algebra, " Ann. Phys. 32, 749-776; “II. Four-dimensional vector analysis, " Ann. Phys. 33, 649–689.

    Google Scholar

  59. Stachel, J. et al (eds.) 1989 The Collected Papers of Albert Einstein, Vol. 2, The Swiss Years: Writings, 1900-1909, Princeton, Princeton University Press.

    Google Scholar

  60. Vizgin, V. P. 1994 Unified Field Theories in the First Third of the 20th Century (Trans. From the Russian by Julian B. Barbour), Basel-Boston-Berlin, Birkhäuser (Science Networks, Vol. 13).

    Google Scholar

  61. Walter S. 1998 “Minkowski, Mathematics, Mathematicians” in J. Renn and T. Saver, History of General Relativity (Forthcoming)

Download references

Author information

Affiliations

  1. The Cohn Institute for the History of Science and Ideas, Tel Aviv University, 69978, Ramat Aviv, Israel

    Leo Corry

additional information

Communicated by J. Norton

About this article

Cite this article

Corry, L. Hermann Minkowski and the postulate of relativity. Arch. Hist. Exact Sci.51, 273-314 (1997). https://doi.org/10.1007/BF00518231

Download citation