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Cosmological distance scale. Part 8. The scale factor

  • FUNDAMENTAL PROBLEMS IN METROLOGY
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Measurement Techniques Aims and scope

Structurally parametric identification of the characteristics of the dispersion in the Friedmann–Robertson–Walker model and its approximations as models for cosmological distance scales are examined on the basis of the data on type SN Ia supernovae used to detect the “acceleration in the expansion of the universe.” It is shown that the deviations from the position characteristics of these models as a function of distance (the scale factor) are multiplicative. Estimates of the convolutions of the random and nonparametric unexcluded systematic components of the inadequacy errors of the Friedmann–Robertson–Walker model are obtained in the class of truncated distributions with zero curvature parameter and a Heckmann approximation with anisotropy and interpolation models taken into account.

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Notes

  1. The scale factor for the cosmological distance scale should not be confused with the metric parameter of the space, which has the same name and a close physical significance.

  2. Matt Visser is a professor of mathematics at Victoria and Wellington University (New Zealand).

  3. Prof. Otto Hermann Leopold Heckmann was the head of the observatory and department of astronomy at the University of Hamburg (Germany) in 1942 and was elected president of the International Astronomical Union in 1967.

  4. The limits of the possible deviations from the estimates are not indicated in Ref. 3.

  5. The estimates of DL are given in accordance with a computational protocol in terms of the distance moduli μ [2, 3]. When this form is used in the following to represent the results, the significant figures will be indicted in semi-bold print.

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  1. Moscow Institute of Examination and Testing, Moscow, Russia

    S. F. Levin

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Translated from Izmeritel’naya Tekhnika, No. 1, pp. 8–15, January, 2019.

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Levin, S.F. Cosmological distance scale. Part 8. The scale factor. Meas Tech 62, 7–15 (2019). https://doi.org/10.1007/s11018-019-01578-1

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