Skip to main content
SpringerLink
Log in

Wave-particle duality in general relativity

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

In this paper a one-to-one correspondence is established between space-time metrics of general relativity and the wave equations of quantum mechanics. This is done by first taking the square root of the metric associated with a space and from there, passing directly to a corresponding expression in the dual space. It is shown that in the case of a massless particle, Maxwell’s equation for a photon follows while in the case of a particle with mass, Dirac’s equation results as a first approximation. Moreover, this one-to-one correspondence suggests a natural explanation of wave-particle duality. As a consequence, the distinction between quantum mechanics and classical relativistic mechanics is more clearly understood and the key role of initial conditions is emphasized.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Cordero P. andTeitelboim C.,Phys. Lett. B,78 (1978) 80.

    Article  ADS  Google Scholar 

  2. Tabensky R. andTeitelboim C.,Phys. Lett. B,69 (1977) 453.

    Article  MathSciNet  ADS  Google Scholar 

  3. Teitelboim C.,Phys. Rev. Lett.,38 (1977) 1106.

    Article  MathSciNet  ADS  Google Scholar 

  4. Same as [2], p. 453.

  5. O’Hara P.,The Einstein-Podolsky-Rosen Paradox and the Pauli Exclusion Principle,Fundamental Problems in Quantum Theory, NYAS (May 1995), pp. 880–881.

  6. Tonnelat M. A.,From the photon to the graviton and to the general theory of corpuscular waves, inQuantum Mechanics, Determinism, Causality, and Particles, edited byM. Flauto, Vol. 1 (D. Reidel Publishing Company, Dordrecht) 1976, pp. 227–235.

    Chapter  Google Scholar 

  7. Weinberg S.,Gravitation and Cosmology (Wiley & Sons) 1972, pp. 365–373, chapt. 12, sect. 5.

  8. Same as [5].

  9. Bjorken J. andDrell S.,Relativistic Quantum Fields (McGraw-Hill, New York, N.Y.) 1965.

    MATH  Google Scholar 

  10. Lindsay R. B. andMargenau H.,Foundations of Physics (Dover, New York, N.Y.) 1957, pp. 46–55.

    Google Scholar 

  11. Same as [6].

  12. Same as [10], pp. 53–55.

  13. Same as [6], p. 229.

  14. Carmeli M.,Classical Fields: General Relativity and Gauge Theory (John Wiley & Sons) 1982, p. 171.

  15. Same as [5].

  16. O’Hara P.,Bell’s inequality and statistical mechanics, technical report (1995), NE’IU Chicago.

Download references

Author information

Authors and Affiliations

  1. Northeastern Illinois University, 5500 North St. Louis Avenue, 60625-4699, Chicago, IL, USA

    P. O’Hara

Authors
  1. P. O’Hara
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

O’Hara, P. Wave-particle duality in general relativity. Nuov Cim B 111, 799–809 (1996). https://doi.org/10.1007/BF02749012

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02749012

PACS

PACS

Search

Navigation