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Article

The Concept of Mass

JUN 01, 1989
In the modern language of relativity theory there is only one mass, the Newtonian mass m, which does not vary with velocity; hence the famous formula E = mc2 has to be taken with a large grain of salt.
Lev B. Okun

Mass is one of the most fundamental concepts of physics. Understanding and calculating the masses of the elementary particles is the central problem of modern physics, and is intimately connected with other fundamental problems such as the origin of CP violation, the mystery of the energy scales that determine the properties of the weak and gravitational interactions, the compositeness of particles, supersymmetry theory and the properties of the not‐yet‐discovered Higgs bosons.

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References

  1. 1. H. Poincaré, Arch. Neerland. 5, 252 (1900).

  2. 2. A. Einstein, Ann. Phys. (Leipzig) 17, 891 (1905).https://doi.org/ANPYA2

  3. 3. H. Lorentz, The Theory of Electrons, Brill, Leiden (1909; revised ed. 1916);
    Dover, New York (1952).

  4. 4. J. J. Thomson, Philos. Mag. 11, 229 (1881).https://doi.org/PHMAA4

  5. 5. O. Heaviside, Philos. Mag. 27, 324 (1889). https://doi.org/PHMAA4
    G. F. C. Searle, Philos. Mag. 44, 329 (1897).https://doi.org/PHMAA4

  6. 6. H. Lorentz, Proc. R. Acad. Sci. Amsterdam 1, 427 (1899); https://doi.org/PKNAAU
    H. Lorentz, 6, 809 (1904).

  7. 7. A. Einstein, Ann. Phys. (Leipzig) 18, 639 (1905).

  8. 8. A. Einstein, The Meaning of Relativity: Four Lectures Delivered at Princeton University, May 1921, fifth ed., E. P. Adams, translator, Princeton U.P., Princeton, N.J. (1970).

  9. 9. A. Einstein, Ann. Phys. (Leipzig) 20, 371 (1906). https://doi.org/ANPYA2

  10. 10. A. Einstein, in Albert Einstein: Philosopher‐Scientist, P. A. Schilpp, ed., Tudor, New York (1949).

  11. 11. See, for example, M. Jammer, Concepts of Mass in Classical and Modern Physics, Harvard U.P., Cambridge, Mass. (1961);
    E. Whittaker, A History of the Theories of Aether and Electricity, vol. 2, Nelson, London (1953).

  12. 12. A. I. Miller, Albert Einstein’s Special Theory of Relativity: Emergence (1905) and Early Interpretation (1905–1911), Addison‐Wesley, Reading, Mass. (1981).

  13. 13. A. Pais, ‘Subtle is the Lord…,’ Oxford U.P., New York (1982).

  14. 14. M. Planck, Verh. Dtsch. Phys. Ges. 4, 136 (1906); https://doi.org/VDPEAZ
    M. Planck, Sitzungsber. Akad. Wiss. Berlin 13, 542 (1907).
    H. Minkowski, Phys. Z. 20, 104 (1909).https://doi.org/PHZTAO

  15. 15. G. Lewis, R. Tolman, Philos. Mag. 18, 510 (1909).https://doi.org/PHMAA4

  16. 16. R. Tolman, Philos. Mag. 23, 375 (1912).https://doi.org/PHMAA4

  17. 17. W. Pauli, The Theory of Relativity, G. Field, translator, Pergamon, New York (1958).

  18. 18. L. D. Landau, E. M. Lifshitz, The Classical Theory of Fields, translation from the second Russian ed., Pergamon, New York (1951).

  19. 19. R. Feynman, Phys. Rev. 76, 749, 769 (1949).https://doi.org/PHRVAO

  20. 20. R. P. Feynman, R. B. Leighton, M. Sands, The Feynman Lectures on Physics, three volumes, Addison‐Wesley, Reading, Mass. (1963, 1964, 1965); vol. 1, chaps. 15, 16; vol. 2, chap. 28.

  21. 21. R. P. Feynman, in Elementary Particles and the Laws of Physics, Cambridge U.P., New York (1987).

  22. 22. S. W. Hawking, A Brief History of Time, Bantam, New York (1988).

  23. 23. C. Adler, Am. J. Phys. 55, 739 (1987).https://doi.org/AJPIAS

More about the authors

Lev B. Okun, Institute of Theoretical and Experimental Physics, Moscow, USSR.

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This Content Appeared In
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Volume 42, Number 6

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