Skip to main content
SpringerLink
Log in

Multivariance as Immanent Property of the Space-Time Geometry

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

It shown that the space-time geometry is multivariant, and one cannot describe it completely, using formalism of the linear space. Tachyons and tachyon gas cannot be described in terms of the linear space formalism. To describe correctly the space-time geometry, one needs to use the metric approach and description in terms of the world function. In the framework of metric approach to geometry one can explain freely the dark matter nature.

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. Rylov, Yu.A.: Geometry without topology as a new conception of geometry. Int. J. Math. Math. Sci. 30(12), 733–760 (2002). See also arXiv:math.MG/0103002

    Article  MathSciNet  MATH  Google Scholar 

  2. Synge, J.L.: A characteristic function in Riemannian space and its applications to the solution of geodesic triangles. Proc. Lond. Math. Soc. 32, 241 (1932)

    MathSciNet  Google Scholar 

  3. Ruse, H.S.: Some teorem in tensor calculus. Proc. Lond. Math. Soc. 31, 225 (1930)

    Article  MathSciNet  MATH  Google Scholar 

  4. Synge, J.L.: Relativity: the general theory. North-Holland, Amsterdam

  5. Rylov, Yu.A.: Different conceptions of Euclidean geometry and their application to the space-time geometry. arXiv:0709.2755v4

  6. Sommerfeld, A.: Simplified deduction of the field and the forces of an electron moving in any given way. In: Knkl. Acad. Wetensch, vol. 7, pp. 345–367 (1904)

    Google Scholar 

  7. Bilaniuk, O.-M.P., Deshpande, V.K., Sudarshan, E.C.G.: ‘Meta’ relativity. Am. J. Phys. 30(10), 718 (1962)

    Article  MathSciNet  ADS  Google Scholar 

  8. Terletsky, Ya.P.: Positive, negative and imaginary rest masses. J. Phys. Radium 23(11), 910–920 (1963)

    Article  Google Scholar 

  9. Feinberg, G.: Possibility of faster-than-light particles. Phys. Rev. 159(5), 1089–1105 (1967)

    Article  ADS  Google Scholar 

  10. Feinberg, G.: Phys. Rev. D 17, 1651 (1978)

    Article  ADS  Google Scholar 

  11. Rylov, Yu.A.: Dynamic equations for tachyon gas. IJTP (now this paper can be found on my site http://rsfq1.physics.sunysb.edu/~rylov/detg1e.pdf). doi:10.1007-013-1674-4

  12. Merritt, D., et al.: Empirical models for dark matter halos. I. Nonparametric construction of density profiles and comparison with parametric models. Astron. J. 132(6), 2685–2700 (2006)

    Article  ADS  Google Scholar 

  13. Rylov, Yu.A.: Discrete space-time geometry and skeleton conception of particle dynamics. Int. J. Theor. Phys. 51(6), 1847–1865 (2012). See also arXiv:1110.3399v1

    Article  MathSciNet  MATH  Google Scholar 

  14. Rylov, Yu.A.: Non-Riemannian model of the space-time responsible for quantum effects. J. Math. Phys. 32(8), 2092–2098 (1991)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. Rylov, Yu.A.: Is the Dirac particle composite? arXiv:physics/0410045

  16. Rylov, Yu.A.: Is the Dirac particle completely relativistic? arXiv:physics/0412032

  17. Rylov, Yu.A.: Geometrical dynamics: spin as a result of rotation with superluminal speed. arXiv:0801.1913

  18. Rylov, Yu.A.: Discriminating properties of compactification in discrete uniform isotropic space-time. arXiv:0809.2516v2

  19. Rubakov, V.A.: On large Hadron Collider’s discovery of a new particle with Higgs boson properties. Phys. Usp. 182(10), 1017–1025 (2012) (in Russian)

    Article  Google Scholar 

  20. Rylov, Yu.A.: General relativity extended to non-Riemannian space-time geometry. arXiv:0910.3582v7

  21. Rylov, Yu.A.: Induced antigravitation in the extended general relativity. Gravit. Cosmol. 18(2), 107–112 (2012)

    Article  MathSciNet  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Problems in Mechanics, Russian Academy of Sciences, 101-1, Vernadskii Ave., Moscow, 119526, Russia

    Yuri A. Rylov

Authors
  1. Yuri A. Rylov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yuri A. Rylov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rylov, Y.A. Multivariance as Immanent Property of the Space-Time Geometry. Int J Theor Phys 52, 4074–4082 (2013). https://doi.org/10.1007/s10773-013-1721-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-013-1721-1

Keywords

Search

Navigation