Skip to main content
Log in

A Machian solution of the hierarchy problem

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

The new interpretation of Mach’s principle of mass of a particle being a measure of the interactions of this particle with all other gravitating particles inside its causal spheres is introduced. It is shown that within some alternative model of gravitation that incorporates this principle, the Machian influence of the universe can reduce Planck’s scale to the electro-weak scale and the large number that is needed to explain the hierarchy between the scales is the amount of gravitating particles inside the universe horizon. Our model can lead to new observable effects at cosmological distances and close to the sources of a strong gravitational field.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. Dvali, G. Gabadadze, M. Kolanović, F. Nitti, Phys. Rev. D 65, 024031 (2002) [arXiv: hep-th/0106058]

    Article  ADS  MathSciNet  Google Scholar 

  2. G. Dvali, arXiv:hep-th/0706.2050

  3. E. Mach, The Science of Mechanics – a Critical and Historical Account of its Development (Open Court, La Salle, 1960)

    Google Scholar 

  4. A. Einstein, The Meaning of Relativity, 6th edn. (Chapman & Hall, London, 1991)

  5. V.W. Hughes, H.G. Robinson, V. Beltran-Lopez, Phys. Rev. Lett. 4, 342 (1960)

    Article  ADS  Google Scholar 

  6. R.W.P. Drever, Philos. Mag. 6, 683 (1961)

    Article  ADS  Google Scholar 

  7. J. Barbour, H. Pfister, Mach’s Principle: From Newton’s Bucket to Quantum Gravity (Birkhäuser, Boston, 1995) Einstein studies, Vol. 6

  8. A. Ghosh, Origin of Inertia (Apeiron, Montreal, 2000)

    Google Scholar 

  9. S. Ray, U. Mukhopadhyay, P.P. Ghosh, arXiv:gr-qc/0705.1836

  10. D.W. Sciama, Mon. Not. R. Astron. Soc. 113, 34 (1953)

    MATH  ADS  MathSciNet  Google Scholar 

  11. D.W. Sciama, Sci. Am. 196, 99 (1957)

    Article  Google Scholar 

  12. D.W. Sciama, The Physical Foundations of General Relativity (Doubleday, New York, 1969)

    Google Scholar 

  13. D.W. Sciama, Modern Cosmology (Cambridge Univ. Press, London, 1971)

    Google Scholar 

  14. I.R. Kenyon, General Relativity (Oxford Univ. Press, Oxford, 1990)

    Google Scholar 

  15. R.L. Signore, Nuovo Cim. 111, 1087 (1996)

    Article  ADS  Google Scholar 

  16. R.L. Signore, Nuovo Cim. 112, 1593 (1996)

    ADS  MathSciNet  Google Scholar 

  17. J.-P. Uzan, Rev. Mod. Phys. 75, 403 (2003) [arXiv:hep-ph/0205340]

    Article  ADS  MathSciNet  Google Scholar 

  18. J. Barbour, Class. Quantum Grav. 20, 1543 (2003) [arXiv:gr-qc/0211021]

    Article  MATH  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Gogberashvili.

Additional information

PACS

04.20.Cv; 04.90.+e; 98.80.-k

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gogberashvili, M. A Machian solution of the hierarchy problem. Eur. Phys. J. C 54, 671–674 (2008). https://doi.org/10.1140/epjc/s10052-008-0559-9

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-008-0559-9

Keywords

Navigation