Skip to main content Accessibility help
×
Home

Can the Solar System be Quantized?

  • J. M. Barnothy (a1)

Abstract

It is suggested that the general form of the constant of quantization, K in Schrödinger's equation, is not h/2π, but K=2 -k, with s being the spin of the orbiting object, α the fine structure constant (1/137.0361), and k a small positive integer, or zero. For atoms k = 0; for planets and satellites k = 2, 3 or 4; for the solar system as a whole, revolving around the center of the Galaxy, k = 6. The probability that 16 objects of the solar system would follow this quantum rule by chance alone is 1 in 1016, suggestive that quantum mechanics, as we know it today, can be seen as a special case of a more general quantum mechanics of the future; it also supports the view expressed by Dirac, that h is probably not a fundamental constant.

Section 1 contains the basic idea which induced me to undertake an investigation of a relationship between rotational and orbital angular momenta of planets; Sections 2–7 contain the experimental data, the application of the new quantum rule and the statistical evaluation whether the relationship proposed in Section 1, could have occurred by chance alone. The results obtained in Sections 2–7 are noteworthy in themselves, independently whether the basic idea is accepted or not.

    • Send article to Kindle

      To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      Can the Solar System be Quantized?
      Available formats
      ×

      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

      Can the Solar System be Quantized?
      Available formats
      ×

      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

      Can the Solar System be Quantized?
      Available formats
      ×

Copyright

References

Hide All
Barnothy, J.: 1946, Nature , June 15 and August 31.
Barnothy, J.: 1947, Papers of Terrestrial Magnetism , Hung. Inst. for Meteor. Terres. Magn., No. 2.
Barnothy, J.: 1968, Astron. J. 73, 164.
Brady, J.: 1972, Publ. Astron. Soc. Pacific 84, 314.
Cook, A. H.: 1972, Observatory 92, 84.
de Vaucouleurs, G. and Peters, L.: 1968, Nature 220, 368.
Dirac, P. A. M.: 1963, Sci. Am. 208, No. 5, 45.
Dollfus, A., (ed.): 1970, Surfaces and Interiors of Planets and Satellites , Academic Press, New York.
Klepcynski, W. J., Seidelmann, P. K., and Duncombe, R. L.: 1970, Astron. J. 75, 739.
Kovalevsky, J. and Link, F.: 1969, Astron. Astrophys. 2, 398.
Majeva, S. S. V.: 1969, Astrophys. Letters 7, 11.
Newton, R. R.: 1972, Astrophys. Space Sci. 16, 179.
Plagemann, S.: 1965, J. Geophys. Res. 70, 985.
Seidelmann, P. K., Duncombe, R. L., and Klepcynski, W. J.: 1969, Astron. J. 74, 776.
Seidelmann, P. K., Klepcynski, W. J., Duncombe, R. L., and Jackson, E. S.: 1971, Bull. Am. Astron. Soc. 3, 270.
Shapiro, I. I.: 1967, Science 157, 806.
Tolson, H. and Gapcinsky, J. P.: 1967, in Dollfus, A. (ed.), Moon and Planets , II, Academic Press, New York, p. 178.
van den Bergh, S.: 1972, Dearborn Obs. Colloquium .
Wyler, A.: 1969, C.R. Acad. Sci. Paris 269A, 743.

Can the Solar System be Quantized?

  • J. M. Barnothy (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed