Skip to main content
Log in

Cosmological Distance Scale. Part 3. Red Shift Standards

  • FUNDAMENTAL PROBLEMS IN METROLOGY
  • Published:
Measurement Techniques Aims and scope

This is a statistical analysis of data on type SN Ia supernovae from which it was concluded during 1998–1999 that the expansion of the universe is accelerating. The hypothesis that there exists a standard value of the red shift in the spectra of type SN Ia supernovae that corresponds to a standard value of the absolute stellar magnitude for distance determinations is examined.

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.

Fig. 1
Fig. 2

Similar content being viewed by others

Notes

  1. The χ2 statistic is actually the likelihood function of a mixture of gaussian distributions. This violates the condition of statistical uniformity of the data with respect to their dispersions (the homoscedacity condition).

  2. The abbreviations for the names of these methods contain the letters MMK from the maximum compactness method (from the name of the basic method of Ref. 12).

References

  1. K. Lang, Astrophysical Formulae [Russian translation], Mir, Moscow (1978), Part 2.

  2. Encyclopedia of Physics, Bolshaya Rossiiskaya Entsiklopediya, Moscow (1994), Vol. 4.

  3. A. G. Riess et al., “Observational evidence from supernovae for an accelerating universe and a cosmological constant,” Astronom. J., 116, 1009–1038 (1998).

    Article  ADS  Google Scholar 

  4. S. Perlmutter et al., “Measurements of Ω and Λ from 42 high-red shift supernovae,” Astrophys. J., 517, 565–586 (1999).

    Article  ADS  Google Scholar 

  5. M. V. Sazhin, “Anisotropy and polarization of the cosmic background radiation. State of the art,” Usp. Fiz. Nauk, 174, No. 2, 197–205 (2004).

    Article  Google Scholar 

  6. G. Hinshaw et al., “9-year Wilkinson microwave anisotropy probe observations: Cosmological parameter results,” http://wmap_9yr_cosmology_results, accessed Dec. 31, 2012.

  7. “Planck 2013 results. I. Overview of products and scientific results,” Astron. Astrophys., http://arXiv:1303.5062v1[astro-ph.CO], accessed May 28, 2013.

  8. S. M. Carroll, W. H. Press, and E. L. Turner, “The cosmological constant,” Ann. Rev. Astron. Astrophys., 30, 499–542 (1992).

    Article  ADS  Google Scholar 

  9. D. J. Schwarz and B. Weinhorst, “(An)isotropy of the Hubble diagram: comparing hemispheres,” Astron. Astrophys., 474, 717–729 (2007).

    Article  ADS  Google Scholar 

  10. J. Sollerman et al., “First-year Sloan digital sky Survey-II supernova results: constraints on non-standard cosmological models,” http://arXiv:0908.4276v2[astro-ph.CO], accessed Sep. 1, 2009.

  11. S. F. Levin, “Measurement problems in the statistical identification of the scale of cosmological distances,” Izmer. Tekhn., No. 12, 7–22 (2011); Measur. Techn., 54, No. 12, 1334–1341 (2011).

  12. R 50.2.004-2000, GSI. Determination of the Characteristics of Mathematical Models for the Relationships Between Physical Quantities in Solving Measurement Problems. Basic Assumptions.

  13. MI 2091–90, GSI. Measurement of Physical Quantities. General Specifications.

  14. MI 2916–2005, GSI. Identification of the Distributions of Probabilities in Solving Measurement Problems.

  15. A. N. Shiryaev, Statistical Sequential Analysis, Nauka, Moscow (1976).

    MATH  Google Scholar 

  16. S. F. Levin, “Identification of interpretive models in the theory of gravitation and cosmology,” Physical Interpretations of Relativity Theory PIRT-2003: Proc. Int. Sci. Meeting, BMSTU, Moscow (2003), pp. 72–81.

  17. P. E. El’yasberg, Measurement Data: How Much is Needed? How Should it be Processed, Nauka, Moscow (1983).

    Google Scholar 

  18. F. Hempel et al., Robust Statistics. The Approach Based on Influence Functions [Russian translation], Mir, Moscow (1989).

  19. S. F. Levin, “Cosmological distance scale: paradoxes in red shift models,” Izmer. Tekhn., No. 3, 3–6 (2013); Measur. Techn., 56, No. 3, 217–222 (2013).

  20. S. F. Levin, “Cosmological distance scale based on a red-shift interpolation model,” Izmer. Tekhn., No. 6, 12–14 (2012); Measur. Techn., 55, No. 6, 609–612 (2012).

  21. S. F. Levin, “Photometric scale of cosmological distances: Anisotropy and nonlinearity, isotropy and zero-point,” Physical Interpretation of Relativity Theory PIRT-2013: Proc. Int. Sci. Meeting, BMSTU, Moscow (2013), pp. 210–219.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. F. Levin.

Additional information

Translated from Izmeritel’naya Tekhnika, No. 9, pp. 8–12, September, 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Levin, S.F. Cosmological Distance Scale. Part 3. Red Shift Standards. Meas Tech 57, 960–966 (2014). https://doi.org/10.1007/s11018-014-0566-1

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11018-014-0566-1

Keywords

Navigation