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The Impact of Special Relativity on Theoretical Physics

MAY 01, 1987
Rudely uniting absolute space and universal time into a single, changeable ‘space‐time,’ the theory has become a fact of life, part and parcel of our view of nature; this essay illustrates its impact by means of some early and late examples of its use.

DOI: 10.1063/1.881108

J. David Jackson

As one of my colleagues put it, “Asking about the impact of special relativity on theoretical physics is like asking about the impact of Shakespeare on the English language.” An impossibly large, even senseless, task. Special relativity is a fact of life, part and parcel of the way nature is. If its impact on everyday life is slight, its impact on physicists’ thinking is profound. Space and universal, inexorable time were rudely united into space‐time by Albert Einstein’s discovery of special relativity. Explorations of the properties of space‐time, of the covariance of physical laws, and of the physical invariants of nature, together with quantum mechanics, led to the formulation of relativistic quantum field theories. The external symmetries of space‐time were augmented by abstract spaces for internal symmetries corresponding to invariant (conserved) quantities such as isospin, strangeness and charm. The whole worldview of modern theoretical physics can be traced back to the fundamental postulate or idea that physical phenomena do not change just because you happen to be moving by, instead of standing still, when observing them. Rotations and other transformations in internal spaces have replaced “moving by,” but the idea is the same.

References

  1. 1. W. Pauli, Relativitätstheorie (Enzyklopädie der Mathematischen Wissenschaften, vol. 19), Teubner, Leipzig (1921).

  2. 2. A. Pais, Inward Bound, Oxford U.P., New York (1986).

  3. 3. For a succinct account, see A. Pais, Subtle is the Lord: The Science and Life of Albert Einstein, Oxford U.P., New York (1982), ch. 7.
    The details are described by A. I. Miller, in Some Strangeness in the Proportion, H. Woolf, ed., Addison‐Wesley, Reading, Mass. (1980), p. 66.

  4. 4. Sommerfeld’s original paper is not easily accessible. In English, an authoritative source is the translation of the third edition of his book Atombau und Spektrallinien: A. Sommerfeld, Atomic Structure and Spectral Lines, H. L. Brose, transl., Methuen, London (1923), ch. VIII, sect. 2 and mathematical note 16;
    see also sect. 7. A number of texts from the 1930s present his derivation.

  5. 5. A. Pais, Subtle is the Lord: The Science and Life of Albert Einstein, Oxford U.P., New York (1982), p. 408.

  6. 6. E. Segré, From X‐Rays to Quarks, Freeman, San Francisco (1980), ch. 8.
    A. Pais, Inward Bound, Oxford U.P., New York (1986), ch. 13.

  7. 7. L. H. Thomas, Nature 117, 514 (1926).https://doi.org/NATUAS

  8. 8. L. H. Thomas, Philos. Mag. 3, 1 (1927).https://doi.org/PHMAA4

  9. 9. B. W. Montague, Physics Reports 113, November 1984, page 1.

  10. 10. V. Bargmann, L. Michel, V. L. Telegdi, Phys. Rev. Lett. 2, 435 (1959).https://doi.org/PRLTAO

  11. 11. P. A. M. Dirac, Proc. R. Soc. London, Ser. A 117, 610 (1928).https://doi.org/PRLAAZ

  12. 12. P. A. M. Dirac, Phys. Z. Sowjetunion 3, 64 (1933); https://doi.org/PHZSAL
    reprinted in Selected Papers on Quantum Electrodynamics, J. Schwinger, ed., Dover, New York (1958) p. 312.

  13. 13. See, for example, C. Itzykson, J.‐B. Zuber, Quantum Field Theory, McGraw‐Hill, New York (1980).

  14. 14. W. K. H. Panofsky and E. M. Purcell address aspects of relativistic engineering in Some Strangeness in the Proportion, H. Woolf, ed., Addison‐Wesley, Reading, Mass. (1980), p. 66.

  15. 15. C. F. von Weizsäcker, Z. Phys. 88, 612 (1934). https://doi.org/ZEPYAA
    E. J. Williams, Det. Kgl. Danske Viden. Selskab. Math‐fys. Medd. 13(4) (1935).
    See also E. J. Williams, Proc. R. Soc. London 139, 163 (1933).https://doi.org/PRLAAZ

  16. 16. The spectrum and some of the applications are discussed in a number of texts. One is J. D. Jackson, Classical Electrodynamics, 2nd ed., Wiley, New York (1975), sect. 15.4.

  17. 17. H. Motz, J. Appl. Phys. 22, 527 (1951).https://doi.org/JAPIAU

  18. 18. D. Attwood, K. Halbach, H.‐J. Kim, Science 228, 1265 (1985).https://doi.org/SCIEAS

  19. 19. M. J. Alguard et al., Phys. Rev. Lett. 42, 1148 (1979). https://doi.org/PRLTAO
    R. L. Swent et al., Phys. Rev. Lett. 43, 1723 (1979).https://doi.org/PRLTAO

  20. 20. J. Bak et al., Nucl. Phys. B 254, 491 (1985).https://doi.org/NUPBBO

  21. 21. H. Park et al., J. Appl. Phys. 55, 358 (1984).https://doi.org/JAPIAU

  22. 22. The effectiveness of the use of different inertial frames is illustrated masterfully in E. M. Purcell, Electricity and Magnetism (Berkeley Physics Course, vol. 2), 2nd ed., McGraw‐Hill, New York (1985).

More about the Authors

J. David Jackson. University of California, Berkeley.

This Content Appeared In
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Volume 40, Number 5

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