The cosmic numbers
DOI: 10.1063/1.3071139
Cosmic numbers have intrigued modern cosmologists ever since puzzling coincidences were first noticed between some of the large dimensionless constants. Here I will try to show not only that these numbers are interesting, but also that they are possibly important to our understanding of the physical world. Have the coincidences always existed or is it merely fortuitous that they occur at the present stage of evolution of the universe?
References
1. H. Weyl, Ann. Physik 59, 101 (1919); see page 129.https://doi.org/ANPYA2
See also J. Q. Stewart, Phys. Rev. 38, 2071 (1931).https://doi.org/PHRVAO2. For a discussion of Eddington’s work see: E. Whittaker, From Euclid to Eddington, Cambridge U.P., London (1958), part V.
3. P. A. M. Dirac, Proc. Roy. Soc. A165, 199 (1938).
See also A. Haas, Phys. Rev. 53, 207 (1938).https://doi.org/PHRVAO4. P. Jordan, Nature 164, 637 (1949) and earlier references cited.https://doi.org/NATUAS
5. R. H. Dicke, Theoretical Significance of Experimental Relativity, Gordon and Breach, New York (1964).
6. O. Klein, Science 171, 339 (1971) and earlier references cited.https://doi.org/SCIEAS
7. G. Gamow, Science 158, 766 (1967); https://doi.org/SCIEAS
Proc. Nat. Acad. Sci. 59, 313 (1968).https://doi.org/PNASA68. Archimedes, “The Sand‐Reckoner,” in The Works of Archimedes (T. L. Heath, ed.), Dover, New York (1953), pages 221–232.
9. R. E. Marshak, E. C. G. Sudarshan, Introduction to Elementary Particles, [Interscience, New York (1961).
10. W. Rindler, PHYSICS TODAY, November 1967, page 23.
11. M. Planck, Theory of Heat Radiation, Dover reprint, New York (1959) page 175.
12. J. M. Bahcall, S. Frautschi, Astrophys. J. 170, L81 (1971); https://doi.org/ASJOAB
E. R. Harrison, Comments Astrophys. Sp. Phys. (Nov. 1972).13. E. R. Harrison, Nature 197, 1257 (1963).https://doi.org/NATUAS
14. E. R. Harrison, PHYSICS TODAY, January 1968, page 31.
15. H. Bondi, Cosmology, Cambridge U.P., London (1961).
16. R. B. Partridge, “Primeval Fireball Today,” American Scientist 57, 37 (1969).https://doi.org/AMSCAC
17. R. H. Dicke, Nature 192, 440 (1961).https://doi.org/NATUAS
18. F. J. Dyson, Phys. Rev. Letters 19, 1291 (1967); https://doi.org/PRLTAO
A. Peres, Phys. Rev. Lett. 19, 1293 (1967); https://doi.org/PRLTAO
R. Gold, Phys. Rev. Lett. 20, 219 (1968); https://doi.org/PRLTAO
S. M. Chitre, Y. Pal, Phys. Rev. Lett. 20, 278 (1968).https://doi.org/PRLTAO19. G. Gamow, Phys. Rev. Lett. 19, 759 (1967) https://doi.org/PRLTAO
and G. Gamow, 19, 913 (1967).https://doi.org/PRLTAO , Phys. Rev. Lett.20. J. N. Bahcall, E. E. Salpeter, Astrophys. J. 142, 1677 (1965); https://doi.org/ASJOAB
J. N. Bahcall, W. L. W. Sargent, M. Schmidt, Astrophys. J. 149, L11 (1967); https://doi.org/ASJOAB
J. N. Bahcall, M. Schmidt, Phys. Rev. Lett. 19, 1294 (1967).https://doi.org/PRLTAO21. R. H. Dicke, Science 138, 653 (1962); https://doi.org/SCIEAS
P. Jordan, Rev. Mod. Phys. 34, 596 (1962).https://doi.org/RMPHAT22. E. Teller, Phys. Rev. 73, 801 (1948).https://doi.org/PHRVAO
23. E. Pochoda, M. Schwarzschild, Astrophys. J. 139, 587 (1964).https://doi.org/ASJOAB
24. G. Shaviv, J. N. Bahcall, Astrophys. J. 155, 135 (1969).https://doi.org/ASJOAB
25. E. Mach, The Science of Mechanics, 5th ed., LaSalle, Illinois (1942) chapter 1.
26. D. W. Sciama, The Unity of the Universe, Doubleday, New York (1961);
R. H. Dicke in Gravitation and Relativity, (H. Chiu, W. Hoffman, eds.) Benjamin, New York (1964) chapter 7;
J. H. Higbie, Gen. Rel. and Grav. 3, 101 (1972).https://doi.org/GRGVA827. C. Brans, R. H. Dicke, Phys. Rev. 124, 925 (1961).https://doi.org/PHRVAO
28. I. I. Shapiro, Gen. Rel. and Grav. 3, 135 (1972).https://doi.org/GRGVA8
29. R. A. Alpher, G. Gamow, Proc. Nat. Acad. Scis. 61, 363 (1968) https://doi.org/PNASA6
and Cosmology, Fusion and Other Matters (F. Reines, ed.), Colorado Associated U.P., Denver (1972), chapter 1.30. A. R. Sandage, PHYSICS TODAY, February 1970, page 34.
31. Reference 8, chapter IV.
32. Reference 8, pages xxxvi‐vii.
More about the Authors
Edward R. Harrison. University of Massachusetts, Amherst.
