Analysis of definitions of key metrological terms in the International System of Units

Cover Page

Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

In preparation for the reform of the International System of Units at the 26th General Conference on Weights and Measures in 2018, the Consultative Committee for Units of the International Committee for Weights and Measures proposed, along with changing the definitions of the four base units (kilogram, ampere, kelvin and mole), also changing the definition of the term unit of quantity. This proposal caused a wide discussion in the metrology community and was not accepted by the majority of participants in the discussion. It was decided to continue the discussion of this issue after the 26th General Conference on Weights and Measures. The article analyzes the definitions of the key metrological terms quantity, unit of quantity, value of quantity presented in the SI Brochure, the standards of the International Organization for Standardization, the International Vocabulary of Metrology and the proposals of the working group on key metrological terms created by the Consultative Committee for Units in 2019. It is shown that in all of the listed publications, the definitions of these terms have both physical, mathematical and linguistic inaccuracies and inconsistencies.

About the authors

F. V. Bulygin

Research Center for Applied Metrology – Rostest

ORCID iD: 0000-0002-5026-9361

M. I. Kalinin

Research Center for Applied Metrology – Rostest

SPIN-code: 3331-3449

References

  1. Brownstein K. R. Angles – Let’s treat them squarely. American Journal of Physics, 65(7), 605–614 (1997). https://doi.org/10.1119/1.18616
  2. Калинин М. И. Плоский и телесный углы в Международной системе единиц. Законодательная и прикладная метрология, (6(157)), 12–16 (2018). https://www.elibrary.ru/ytodzr
  3. Quincey P., Mohr P. J. and Phllips W. D. Angles are inherently neither length ratios nor dimensionless. Metrologia, 56(4), 043001 (2019). https://doi.org/10.1088/1681-7575/ab27d7
  4. Kalinin M. I. On the status of plane and solid angles in the International System of Units (SI). Metrologia, 56(6), 065009 (2019). https://doi.org/10.1088/1681-7575/ab3fbf; https://www.elibrary.ru/kygxra
  5. Калинин М. И., Исаев Л. К., Булыгин Ф. В. Размерности плоского и телесного углов и их единицы в Международ ной системе единиц. Измерительная техника, (10), 26–32 (2020). https://doi.org/10.32446/0368-1025it.2020-10-26-32; https://www.elibrary.ru/paqfrm
  6. Leonard B. P. Proposal for the dimensionally consistent treatment of angle and solid angle by the International System of Units (SI). Metrologia, 58(5), 052001 (2021). https://doi.org/10.1088/1681-7575/abe0fc; https://www.elibrary.ru/vobmwz
  7. JCGM/WG 2 Document N 341. International Vocabulary of Metrology – Basic and General Concepts and Associated Terms (VIM). 3rd Edition. JCGM, BIPM (2008).
  8. International Committee for Weights and Measures. Proc. 107th Meeting, 20–22 June (2018). https://www.bipm.org/documents/20126/30120035/CIPM2018-EN.pdf/f4f7af64-f595-9e8b-3bdb-9b737aa8118c
  9. Математическая энциклопедия. В 5 т. Гл. ред. И. М. Виноградов. Т. 1. «Величина». А–Г. Под ред. В. И. Битюц ков и др. Советская энциклопедия, Москва (1977).
  10. Окрепилов В. В. (ред.) Российская метрологическая энциклопедия. В 2 т. Т. 1. ИИФ «Лики России», Санкт-Петербург (2015).
  11. Domotor Z., Batitsky V. An Algebraic approach to unital quantities and their measurement. Measurement Science Review, 16(3), 103–126 (2016). https://doi.org/10.1515/msr-2016-0014
  12. Mari L., Ehrlich Ch., Pendrill L. Measurement units as quantities of objects or values of quantities: a discussion. Metrologia, 55(5), 716–721 (2018). https://doi.org/10.1088/1681-7575/aad8d8
  13. Taylor B. N. Quantity Calculus, Fundamental Constants, and SI Units. Journal of Research of the National Institute of Standards and Technology, 123(3), 123008 (2018). https://doi.org/10.6028/jres.123.008
  14. Flater D. Ambiguity of the term quantity value in metrology. NIST Interagency, Rep. 8368, 1–21 (2021). https://doi.org/10.6028/NIST.IR.8368
  15. Krystek M. P. James Clerk Maxwell on quantities and units. History and Philosophy of Physics (2021). https://arxiv.org/abs/2108.06125v1
  16. Consultative Committee for Units (CCU). Rep. 24th Meeting to the International Committee for Weights and Measures, 8–9 October (2019). https://www.bipm.org/documents/20126/41599414/CCU24.pdf/868aebb6-4d09-9a3b-7b75-33b3355aef50
  17. Flater D. Dealing with counts and other quantal quantities in quantity calculus. Measurement, 206(1), 112226 (2023). https://doi.org/10.1016/j.measurement.2022.112226; https://www.elibrary.ru/iqqbxq
  18. Flater D., Foxvog D., Kacker R. A unified model of core metrological concepts. NIST Interagency, Rep. 8530, 1–26 (2024). https://doi.org/10.6028/nist.ir.8530
  19. Consultative Committee for Units (CCU). Rep. of the 25th Meeting to the International Committee for Weights and Measures, 21–23 September (2021). https://www.bipm.org/documents/20126/68201438/CCU25.pdf/ab1be833-d656-ae2e-36fa-feb04948ed4c

Supplementary files

Supplementary Files
Action
1. JATS XML
Download

Согласие на обработку персональных данных

 

Используя сайт https://journals.rcsi.science, я (далее – «Пользователь» или «Субъект персональных данных») даю согласие на обработку персональных данных на этом сайте (текст Согласия) и на обработку персональных данных с помощью сервиса «Яндекс.Метрика» (текст Согласия).