[go: up one dir, main page]
Skip to main content
Springer Nature Link
Log in

Some heuristic semi-classical derivations of the Planck length, the Hawking effect and the Unruh effect

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

Summary

The formulas for Planck length, Hawking temperature and Unruh-Davies temperature are derived by using only laws of classical physics together with the Heisenberg principle put in the form ΔE Δx≅▄c/2. Besides, it is shown how the Hawking relation can be deduced from the Unruh relation by means of the principle of equivalence; the deep link between Hawking effect and Unruh effect is in this way clarified.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. Boyer T. H.,Le Scienze,35 (1985) 68.

    Google Scholar 

  2. Caldirola P. andProsperi G. M.,Introduzione alla Fisica Teorica (UTET, Torino) 1982, pp. 509–510.

    Google Scholar 

  3. See, for example,de Witt B. S.,Sci. Am.,249 (1983) 104.

    ADS  Google Scholar 

  4. Wheeler J. A.,Geometrodynamics (Academic Press, New York, N.Y.) 1962.

    Google Scholar 

  5. Kruchar K.,J. Math. Phys.,11 (1970) 3322.

    Article  ADS  Google Scholar 

  6. Sciama D. W., Candelas P. andDeutsch D.,Adv. Phys.,30 (1981) 327.

    Article  ADS  Google Scholar 

  7. Hawking S. W.,Commun. Math. Phys.,43 (1975) 199.

    Article  MathSciNet  ADS  Google Scholar 

  8. Davies P. C.,J. Phys. A,8 (1975) 609.

    Article  ADS  Google Scholar 

  9. Unruh W. G.,Phys. Rev. D,14 (1976) 870.

    Article  ADS  Google Scholar 

  10. Boyer T. H.,Phys. Rev. D,21 (1980) 2137.

    Article  MathSciNet  ADS  Google Scholar 

  11. Boyer T. H.,Phys. Rev. D,29 (1984) 1089.

    Article  ADS  Google Scholar 

  12. Boyer T. H.,Phys. Rev. D,29 (1984) 1097.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Fisica dell'Università, Via Celoria 16, 20133, Milano, Italy

    F. Scardigli

Authors
  1. F. Scardigli
    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

Scardigli, F. Some heuristic semi-classical derivations of the Planck length, the Hawking effect and the Unruh effect. Nuov Cim B 110, 1029–1034 (1995). https://doi.org/10.1007/BF02726152

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02726152

PACS

Search

Navigation