Foundations of Physics

, Volume 30, Issue 4, pp 567–576 | Cite as

Concatenation of Scales Below 1 eV

  • Alan Chodos


There are (at least) four numbers of physical and cosmological significance, whose inferred values, when expressed in mass units, cluster in a window below 1 eV. There are: the neutrino mass, the neutrino chemical potential, the cosmological constant, and the size of two extra dimensions (if the fundamental scale of gravity is 1–10 TeV). In this note, we imagine ways in which these four numbers could all be connected.


Cosmological Constant Mass Unit Neutrino Mass Extra Dimension Fundamental Scale 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    J. Kepler, Mysterium Cosmographicum (Tuebingen, 1596).Google Scholar
  2. 2.
    J. Balmer, Verh. Naturf. Ges. Basel 7, 548 (1885).Google Scholar
  3. 3.
    A. S. Eddington, Relativity Theory of Protons and Electrons (Cambridge University Press, Cambridge, 1936).Google Scholar
  4. 4.
    P. A. M. Dirac, Proc. Roy. Soc. London A 165, 199 (1938); 365, 19 (1979).Google Scholar
  5. 5.
    A. Wyler, Comptes Rendus Acad. Sci. Paris A 269, 743 (1969).Google Scholar
  6. 6.
    R. Roskies, Physics Today, Nov. 1971, p. 9. A. Peres ibid.Google Scholar
  7. 7.
    D. G. Caldi and A. Chodos, hep-ph/9903416.Google Scholar
  8. 8.
    A. Chodos and E. Poppitz, manuscript in preparation.Google Scholar
  9. 9.
    For reviews, see J. W. F. Valle, hep-ph/9907222. E. Torrente-Lujan, hep-ph/9902339; B. Kayser, hep-ph/9810513.Google Scholar
  10. 10.
    P. B. Pal and K. Kar, hep-ph/9809410. See also W. H. Kinney and A. Riotto, hep-ph/9903459 and J. Lesgourgues and S. Pastor, hep-ph/9904411.Google Scholar
  11. 11.
    S. Perlmutter et al., astro-ph/9812473 and astro-ph/9812133. B. Schmidt et al., Astrophys. J. 507, 46 (1998). A. G. Riess et al., astro-ph/9805201. L. M. Krauss and M. S. Turner, Gen. Rel. Grav. 27, 1137 (1995). J. P. Ostriker and P. Steinhardt, Nature 377, 600 (1995).Google Scholar
  12. 12.
    R. R. Caldwell, R. Dave, and P. J. Steinhardt, Phys. Rev. Lett. 80, 1582 (1998).Google Scholar
  13. 13.
    P. D. Mannheim, astro-ph/9901219.Google Scholar
  14. 14.
    N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, Phys. Lett. B 429, 263 (1998).Google Scholar
  15. 15.
    A. Chodos, F. Cooper, and H. Minakata, hep-ph/9905521 and A. Chodos, H. Minakata and F. Cooper, Phys. Lett. B 449, 260 (1999).Google Scholar
  16. 16.
    D. J. Gross and A. Neveu, Phys. Rev. D 10, 3235 (1974).Google Scholar
  17. 17.
    H. Ishihara, K. Tomita, and H. Nariai, Prog. Theor. Phys. 71, 859 (1984).Google Scholar

Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • Alan Chodos
    • 1
  1. 1.American Physical SocietyCollege Park

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