Skip to main content

Fundamental Units: Physics and Metrology

  • Part II Fundamental Constants
  • Chapter
  • First Online:
Astrophysics, Clocks and Fundamental Constants

Part of the book series: Lecture Notes in Physics ((LNP,volume 648))

Abstract

The problem of fundamental units is discussed in the context of achievements of both theoretical physics and modern metrology. On one hand, due to the fascinating accuracy of atomic clocks, the traditional macroscopic standards of metrology (second, metre, kilogram) are giving way to standards based on fundamental units of nature: velocity of light c and quantum of action h. On the other hand, the poor precision of the gravitational constant G, which is widely believed to define the “cube of theories” and the units of the future “theory of everything”, does not allow to use G as a fundamental dimensional constant in metrology. The electromagnetic units in SI are actually based on concepts of prerelativistic classical electrodynamics such as ether, electric permittivity and magnetic permeability of vacuum. Concluding remarks are devoted to terminological confusion which accompanies the progress in basic physics and metrology.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • 1. M. Planck: Sitz.-Ber. Preuss. Akad. Wiss. (1899) 449; M. Planck: Ann. d. Phys. 4, 1, 69 (1900). Reprinted in Max Planck. Physikalische Abhandlungen und Vorträge, Band I, Fried. Vieweg. 1958, pp. 500-600, 614-667.

    Google Scholar 

  • 2. G. Gamov, D. Ivanenko, L. Landau: Journal of Russian Physicochemical Society, Ser. Phys. LX, 13 (1928) (in Russian), reprinted in Yad. Fiz. 65, 1406 (2002), translated into English in Physics of Atomic Nuclei 65, 1373 (2002).

    Google Scholar 

  • 3. M. Bronstein: Phys. Zeitschrift der Sowjetunion 9, 140 (1936).

    Google Scholar 

  • 4. A. Zelmanov: ‘Kosmologia’. In Razvitie Astronomii v SSSR (Nauka, Moskva, 1967) p. 323 (in Russian).

    Google Scholar 

  • 5. G. Gorelik: Razmernost’ prostranstva (MGU, Moskva, 1983) Chapter 5 (in Russian).

    Google Scholar 

  • 6. L. Okun: Sov. Phys. Usp. 34, 818 (1991).

    Article  ADS  Google Scholar 

  • 7. K. Kuchar: Phys. Rev. D 22, 1285 (1980).

    Article  ADS  MathSciNet  Google Scholar 

  • 8. N. Sanchez: ‘Recent Progress in String Cosmology’. International school of astrophysics “D. Chalonge”, 5th Course “Current topics in astrofundamental physics”, Erice, September 1996.

    Google Scholar 

  • 9. J. Flowers and B. Petley: In: Astrophysics, Clocks and Fundamental Constants, ed. by S. G. Karshenboim and E. Peik, Lecture Notes in Physics Vol. 648 (Springer, Berlin, Heidelberg 2004), pp. 75–93.

    Google Scholar 

  • 10. G.J. Stoney: The Philosophical Magazine and Journal of Science 11, 381 (1881).

    Article  Google Scholar 

  • 11. Z. Bay, G.G. Luther, J.A. White: Phys. Rev. Lett. 29, 189 (1972); Z. Bay, J.A. White: Phys. Rev. D 5, 796 (1972).

    Article  ADS  Google Scholar 

  • 12. T.J. Quinn: Metrologia 40, 103 (2003).

    Article  ADS  Google Scholar 

  • 13. Th. Udem, R. Holzwarth, T.W. Hänsch: Nature 416, 233 (14 March 2002).

    Google Scholar 

  • 14. S.G. Karshenboim, F.S. Pavone, F. Bassani, M. Inguscio, T.W. Hänsch (Eds.): The Hydrogen Atom. Precision Physics of Simple Atomic Systems (Springer, 2001).

    Google Scholar 

  • 15. B.D. Josephson: Phys. Lett. 1, 251 (1962).

    Article  ADS  Google Scholar 

  • 16. K.V. Klitzing, G. Dorda, M. Pepper: Phys. Rev. Lett. 45, 494 (1980).

    Article  ADS  Google Scholar 

  • 17. E.R. Williams, R.L. Steiner, D.B. Newell, P.T. Olsen: Phys. Rev. Lett. 81, 2404 (1998).

    Article  ADS  Google Scholar 

  • 18. R.N. Taylor, P.J. Mohr: Metrologia 36, 63 (1999).

    Article  ADS  Google Scholar 

  • 19. L.B. Okun: Physics Today, June 1989, 31; May 1990, 13, 15, 115-117; Uspekhi Fiz. Nauk 158, 511 (1989); Sov. Phys. Usp. 32, 629 (1989).

    Google Scholar 

  • 20. J.C. Maxwell: A Treatise on Electricity and Magnetism. (Oxford Univ. Press, 1873) Part IV, Chapters IX, X, XIX. 3rd edn. (1891); reprint Dover, New York (1954)

    Google Scholar 

  • 21. A. Einstein: The meaning of relativity, 4th edn. (Princeton, 1953)

    Google Scholar 

  • 22. L.D. Landau and E.M. Lifshitz: The Classical Theory of Fields, 4th edn. (Pergamon Press, Oxford, 1987)

    Google Scholar 

  • 23. L.D. Landau and E.M. Lifshitz: Electrodynamics of continuous Media, 2nd edn. (Addison-Wesley, Reading, MA, 1984)

    Google Scholar 

  • 24. C.Möller: The Theory of Relativity, 2nd edn. (Clarendon Press, Oxford, 1974)

    Google Scholar 

  • 25. P.G. Bergmann: Introduction to the Theory of Relativity (Dover reprint, 1976)

    Google Scholar 

  • 26. W. Pauli: Theory of Relativity (Pergamon Press, New York, 1958)

    Google Scholar 

  • 27. J.D. Jackson: Classical Electrodynamics, 3rd edn. (John Wiley and sons, Inc. 1998)

    Google Scholar 

  • 28. A. Sommerfeld: Phys. Z. 36, 814 (1935)

    Google Scholar 

  • 29. A. Sommerfeld: Electrodynamik (Leipzig, 1949. Academic Press, New York, 1952)

    Google Scholar 

  • 30. N. Ashby, D. Allen: Radio Science 14, 649 (1979).

    Article  ADS  Google Scholar 

  • 31. B. Guinot: Metrologia 34, 261 (1997).

    Article  ADS  Google Scholar 

  • 32. M.J. Duff, L.B. Okun, G. Veneziano: JHEP 03, 023 (2002), arXiv, physics/0110060.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Savely G. Karshenboim Ekkehard Peik

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin/Heidelberg

About this chapter

Cite this chapter

Okun, L.B. (2004). Fundamental Units: Physics and Metrology. In: Karshenboim, S.G., Peik, E. (eds) Astrophysics, Clocks and Fundamental Constants. Lecture Notes in Physics, vol 648. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-40991-5_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-40991-5_4

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21967-5

  • Online ISBN: 978-3-540-40991-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics