<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">izmertech</journal-id><journal-title-group><journal-title xml:lang="ru">Измерительная техника</journal-title><trans-title-group xml:lang="en"><trans-title>Izmeritel`naya Tekhnika</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0368-1025</issn><issn pub-type="epub">2949-5237</issn><publisher><publisher-name>ФГУП "ВНИИФТРИ"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32446/0368-1025it.2023-2-4-11</article-id><article-id custom-type="elpub" pub-id-type="custom">izmertech-1494</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФУНДАМЕНТАЛЬНЫЕ ПРОБЛЕМЫ МЕТРОЛОГИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>FUNDAMENTAL PROBLEMS OF METROLOGY</subject></subj-group></article-categories><title-group><article-title>Шкала космологических расстояний. Часть 14: «пузырь Хаббла» и гравитационный диполь</article-title><trans-title-group xml:lang="en"><trans-title>Cosmological distances scale. Part 14: “Hubble bubble” and the gravitational dipole</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Левин</surname><given-names>С. Ф.</given-names></name><name name-style="western" xml:lang="en"><surname>Levin</surname><given-names>S. F.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Сергей Фёдорович Левин</p><p>Москва</p></bio><bio xml:lang="en"><p>Sergey F. Levin</p><p>Moscow</p></bio><email xlink:type="simple">miei-metrolog@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Московский институт экспертизы и испытаний</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Moscow Institute of Expertise and Testing</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>20</day><month>03</month><year>2023</year></pub-date><volume>0</volume><issue>2</issue><fpage>4</fpage><lpage>11</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Левин С.Ф., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Левин С.Ф.</copyright-holder><copyright-holder xml:lang="en">Levin S.F.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.izmt.ru/jour/article/view/1494">https://www.izmt.ru/jour/article/view/1494</self-uri><abstract><p>В настоящей статье на основе астрономических открытий за последние 25 лет рассмотрены возможные причины явления, которое воспринимается как «ускорение расширения Вселенной». В 1998 г. для подтверждения обнаружения «ускорения расширения Вселенной» специалистами группы High-Z SN Search Team по данным о 44 сверхновых типа SN Ia проверена и отклонена гипотеза о влиянии локальной пустоты – «пузыря Хаббла», полагавшаяся альтернативой положительной космологической постоянной. Также в 1998 г. автором настоящей статьи и специалистами Вычислительного центра Российской Академии наук в ходе апробации программы многомерного статистического анализа «ММК-стат М» по стандартным справочным данным обнаружена разнонаправленная дипольная анизотропия красного смещения 383 квазаров и радиогалактик вдоль оси «Virgo – Leo ↔ Eridanus – Aquarius». В 2007 г. проблемы анизотропии привлекли внимание космологов. В 2016 г. группы специалистов High-Z SN Search Team и Carnegie-Chicago Hubble program начали дискуссию о тупиковой ситуации в космологии. В ходе дополнительного анализа показано, что дипольная анизотропия красного смещения не только радиогалактик, но и сверхновых типа SN Ia относительно диполя анизотропии квазаров имеет обратную ориентацию.</p></abstract><trans-abstract xml:lang="en"><p>In this article, on the basis of astronomical discoveries over the past 25 years, the possible causes of the phenomenon that is perceived as the “acceleration of the expansion of the Universe” are considered. In 1998, in order to confirm the discovery of the “acceleration of the expansion of the Universe”, the specialists of the High-Z SN Search Team tested and rejected the hypothesis about the influence of a local void – the “Hubble bubble”, which was considered an alternative to the positive cosmological constant, based on data on 44 supernovae of type SN Ia. Also in 1998 the author and specialists of the Computing Center of the Russian Academy of Sciences, during the testing of the multidimensional statistical analysis program “MMK-stat M”, according to standard reference data, a divergent dipole anisotropy of the redshift of 383 quasars and radio galaxies along the axis “Virgo – Leo ↔ Eridanus – Aquarius” was detected. In 2007, the problems of anisotropy attracted the attention of cosmologists. In 2016, groups of specialists from the High-Z SN Search Team and the Carnegie-Chicago Hubble program began a discussion about the impasse in cosmology. In the course of additional analysis, it is shown that the redshift dipole anisotropy of not only radio galaxies, but also supernovae of type SN Ia with respect to the quasar anisotropy dipole has an inverse orientation.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>красное смещение</kwd><kwd>шкала космологических расстояний</kwd><kwd>квазары</kwd><kwd>радиогалактики</kwd><kwd>сверхновые SN Ia</kwd><kwd>сверхскопления галактик</kwd><kwd>супервойды</kwd><kwd>«пузырь Хаббла»</kwd><kwd>гравитационный диполь</kwd></kwd-group><kwd-group xml:lang="en"><kwd>redshift</kwd><kwd>cosmological distance scale</kwd><kwd>quasars</kwd><kwd>radio galaxies</kwd><kwd>supernovae SN Ia</kwd><kwd>super clusters of galaxies</kwd><kwd>super voids</kwd><kwd>“Hubble bubble”</kwd><kwd>gravitational dipole</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Левин С. Ф. Шкала космологических расстояний. Часть 10. Глобальная анизотропия // Измерительная техника. 2020. № 10. С. 9–25. https://doi.org/10.32446/0368-1025it.2020-10-9-25</mixed-citation><mixed-citation xml:lang="en">Levin S. F. Measurement Techniques, 2021, vol. 63, no. 10, pp. 780–797. https://doi.org/10.1007/s11018-021-01854-z</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Bachcall N. A. Hubble’s Law and the expanding universe. Proceedings National Academy Science USA, 2015, vol. 112, рp. 3173–3175. https://doi.org/10.1073/pnas.1424299112</mixed-citation><mixed-citation xml:lang="en">Bachcall N. A. Hubble’s Law and the expanding universe. Proceedings National Academy Science USA, 2015, vol. 112, рp. 3173–3175. https://doi.org/10.1073/pnas.1424299112</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Planck Collaboration. Planck intermediate results. XLVI. Reduction of large-scale systematic effects in HFI polarization maps and estimation of the reionization optical depth. arXiv:1605. 02985v2 [astro-ph.CO] (26 May 2016).</mixed-citation><mixed-citation xml:lang="en">Planck Collaboration. Planck intermediate results. XLVI. Reduction of large-scale systematic effects in HFI polarization maps and estimation of the reionization optical depth. arXiv:1605. 02985v2 [astro-ph.CO] (26 May 2016).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Riess A. G. et al. The Astrophysical Journal, vol. 826, no. 1, 56. https://doi.org/10.3847/0004-637X/826/1/56</mixed-citation><mixed-citation xml:lang="en">Riess A. G. et al. The Astrophysical Journal, vol. 826, no. 1, 56. https://doi.org/10.3847/0004-637X/826/1/56</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Visser M. Class. Quantum Grav. 2004, vol. 21, no. 11, 2603. https://doi.org/10.1088/0264-9381/21/11/006</mixed-citation><mixed-citation xml:lang="en">Visser M. Class. Quantum Grav. 2004, vol. 21, no. 11, 2603. https://doi.org/10.1088/0264-9381/21/11/006</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Riess A. G. et al. Observational evidence from supernovae for an accelerating universe and a cosmological constant. Astronomical journal, 1998, vol. 116, pp. 1009–1038.</mixed-citation><mixed-citation xml:lang="en">Riess A. G. et al. Observational evidence from supernovae for an accelerating universe and a cosmological constant. Astronomical journal, 1998, vol. 116, pp. 1009–1038.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Сажин М. В. Анизотропия и поляризация реликтового излучения. Последние данные // Успехи физических наук. 2004. Т. 174. С. 197–205. https://doi.org/10.3367/UFNr.0174.200402g.0197</mixed-citation><mixed-citation xml:lang="en">Sazhin M. V. Phys. Usp. 2004, vol. 47, pp. 187–194. https://doi.org/10.1070/PU2004v047n02ABEH001630</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Perlmutter S. et al. Measurements of Ω and Λ from 42 high-red shift supernovae. Astrophysical Journal, 1999, vol. 517, pp. 565–586.</mixed-citation><mixed-citation xml:lang="en">Perlmutter S. et al. Measurements of Ω and Λ from 42 high-red shift supernovae. Astrophysical Journal, 1999, vol. 517, pp. 565–586.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Beaton R. L., Freedman W. L., Madore B. F. et al. Astrophysical Journal, 2016, vol. 832, no. 2, 210. https://doi.org/10.3847/0004-637X/832/2/210</mixed-citation><mixed-citation xml:lang="en">Beaton R. L., Freedman W. L., Madore B. F. et al. Astrophysical Journal, 2016, vol. 832, no. 2, 210. https://doi.org/10.3847/0004-637X/832/2/210</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Freedman W. L., https://doi.org/10.48550/arXiv.1706.02739 (13 Jul 2017).</mixed-citation><mixed-citation xml:lang="en">Freedman W. L., https://doi.org/10.48550/arXiv.1706.02739 (13 Jul 2017).</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Riess A. et al. The Astrophysical Journal, 2019, vol. 876, no. 1, 85. https://doi.org/10.3847/1538-4357/ab1422</mixed-citation><mixed-citation xml:lang="en">Riess A. et al. The Astrophysical Journal, 2019, vol. 876, no. 1, 85. https://doi.org/10.3847/1538-4357/ab1422</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Elcio A. et al. Journal of High Energy Astrophysics, 2022, vol. 34, pр. 49–211. https://doi.org/10.1016/j.jheap.2022.04.002</mixed-citation><mixed-citation xml:lang="en">Elcio A. et al. Journal of High Energy Astrophysics, 2022, vol. 34, pр. 49–211. https://doi.org/10.1016/j.jheap.2022.04.002</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Conley A., Carlberg R. G., Guy J., Howell D. A., Jha S., Riess A. G., Sullivan M. Astrophysical Journal, 2007, vol. 664, no. 1, рр. L13–L16. https://doi.org/10.1086/520625</mixed-citation><mixed-citation xml:lang="en">Conley A., Carlberg R. G., Guy J., Howell D. A., Jha S., Riess A. G., Sullivan M. Astrophysical Journal, 2007, vol. 664, no. 1, рр. L13–L16. https://doi.org/10.1086/520625</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Zehavi I., Riess A. G., Kirshner R. P., Dekel A. Astrophysical Journal, 1998, vol. 503(2), 483. https://doi.org/10.1086/306015</mixed-citation><mixed-citation xml:lang="en">Zehavi I., Riess A. G., Kirshner R. P., Dekel A. Astrophysical Journal, 1998, vol. 503(2), 483. https://doi.org/10.1086/306015</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Левин С. Ф. Шкала космологических расстояний. Часть 5. Метрологическая экспертиза по сверхновым типа SN Ia // Измерительная техника. 2016. № 8. С. 3–10. https://doi.org/10.1007/s11018-016-1047-5</mixed-citation><mixed-citation xml:lang="en">Levin S. F. Measurement Techniques, 2016, vol. 59, no. 8, pp. 791–802. https://doi.org/10.1007/s11018-016-1047-5</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Kogut A. et al. Astrophysical Journal, 1993, vol. 419, pp. 1–6. https://doi.org/10.1086/173453</mixed-citation><mixed-citation xml:lang="en">Kogut A. et al. Astrophysical Journal, 1993, vol. 419, pp. 1–6. https://doi.org/10.1086/173453</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Wilkinson D. T., Partridge R. B. Nature, 1967, vol. 215, 719. https://doi.org/10.1038/215719a0</mixed-citation><mixed-citation xml:lang="en">Wilkinson D. T., Partridge R. B. Nature, 1967, vol. 215, 719. https://doi.org/10.1038/215719a0</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Kirshner R. P., Oemler A. Jr., Schechter P. L., Shectman S. A. Astrophysical Journal, 1987, vol. 314, рp. 493–506. https://doi.org/10.1086/165080</mixed-citation><mixed-citation xml:lang="en">Kirshner R. P., Oemler A. Jr., Schechter P. L., Shectman S. A. Astrophysical Journal, 1987, vol. 314, рp. 493–506. https://doi.org/10.1086/165080</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Aldering G. Filling the void – understanding the formation of the Bootes void in intergalactic space, Brief Article. Discover magazine, 1995, available at: htpp://findarticles.com/p/articles/mi_m1511/is_n8_v16/ai_17253874 (accessed: 11.01.2023).</mixed-citation><mixed-citation xml:lang="en">Aldering G. Filling the void – understanding the formation of the Bootes void in intergalactic space, Brief Article. Discover magazine, 1995, available at: htpp://findarticles.com/p/articles/mi_m1511/is_n8_v16/ai_17253874 (accessed: 11.01.2023).</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Karachentsev I. D., Makarov D. I. Galaxy Interactions in the Local Volume. In: Barnes J. E., Sanders D. B. (eds), Galaxy Interactions at Low and High Redshift. International Astronomical Union, 1999, vol. 186. https://doi.org/10.1007/978-94-011-4665-4_22</mixed-citation><mixed-citation xml:lang="en">Karachentsev I. D., Makarov D. I. Galaxy Interactions in the Local Volume. In: Barnes J. E., Sanders D. B. (eds), Galaxy Interactions at Low and High Redshift. International Astronomical Union, 1999, vol. 186. https://doi.org/10.1007/978-94-011-4665-4_22</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Левин С. Ф., Лисенков А. Н., Сенько О. В., Харатьян Е. И. Система метрологического сопровождения статических измерительных задач «ММК-стат М». Руководство пользователя. М.: Госстандарт РФ, Вычислительный Центр РАН, 1998. 32 с.</mixed-citation><mixed-citation xml:lang="en">Levin S. F., Lisenkov A. N., Sen`ko O. V., Xarat`yan E. I. Sistema metrologicheskogo soprovozhdeniya staticheskix izmeritel`ny`x zadach “MMK-stat M”. Rukovodstvo pol`zovatelya. Moscow, Gosstandart RF, VC RAN Publ., 1998, 32 p. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Ленг К. Астрофизические формулы: Руководство для физиков и астрофизиков. Часть 1: пер. с англ. Ю. К. Земцова, И. Г. Персианцева и В. Е. Чертопруда под ред. Л. А. Покровского и В. Л. Хохловой. 448 с. Часть 2: пер. с англ. А. Г. Дорошкевича, А. В. Засова и М. Ю. Хлопова под ред. Д. К. Надежина и Л. М. Озерного. М.: Мир, 1978. 384 с. https://doi.org/10.1007/978-3-662-21642-2</mixed-citation><mixed-citation xml:lang="en">Lang K. R. Astrophysical formulae: A Compendium for the Physicist and Astrophysicist. Berlin, N.Y., Springer-Verlag, 1980, 783 p. https://doi.org/10.1007/978-3-662-21642-2</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Левин С. Ф. Метрологическая аттестация математических моделей в измерительных задачах гравитации и космологии // Тезисы докладов X Российской гравитационной конференции «Теоретические и экспериментальные проблемы общей теории относительности и гравитации», Владимир, 20–27 июня 1999. М.: РГО, 1999. С. 245.</mixed-citation><mixed-citation xml:lang="en">Levin S. F. Abstracts of Papers X Russian Gravitation Conference “Teoreticheskie i eksperimental’nye problemy obshchej teorii otnositel’nosti i gravitacii”. Moscow, RGO Publ., 1999, р. 245 (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Levin S. F. On spatial anisotropy of redshift in spectrums of extragalactic sources, Physical Interpretations of Relativity Theory: Proceedings of XV International Meeting, Moscow, 6–9 July 2009, eds. M. C. Duffy, V. O. Gladyshev, A. N. Morozov, P. Rovlands, Moscow, Liverpool, Sunderland, BMSTU, 2009, pp. 234–240.</mixed-citation><mixed-citation xml:lang="en">Levin S. F. On spatial anisotropy of redshift in spectrums of extragalactic sources, Physical Interpretations of Relativity Theory: Proceedings of XV International Meeting, Moscow, 6–9 July 2009, eds. M. C. Duffy, V. O. Gladyshev, A. N. Morozov, P. Rovlands, Moscow, Liverpool, Sunderland, BMSTU, 2009, pp. 234–240.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Левин С. Ф. Шкала космологических расстояний. Часть 13: Галактическая полярная анизотропия красного смещения квазаров и сверхновых типа SN Ia // Измерительная техника. 2022. № 10. С. 11–18. https://doi.org/10.32446/0368-1025it.2022-10-11-18</mixed-citation><mixed-citation xml:lang="en">Levin S. F. Izmeritel’naya Tekhnika, 2022, nо. 10, рр. 11–18. (In Russ.) https://doi.org/10.32446/0368-1025it.2022-10-11-18</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Левин С. Ф. Измерительная задачи калибровки средства измерений для заданных условий // Измерительная техника. 2021. № 4. С. 9–15. https://doi.org/10.32446/0368-1025it.2021-4-9-15</mixed-citation><mixed-citation xml:lang="en">Levin S. F. Measurement Techniques, 2021, vol. 64, no. 4, pp. 273–281. https://doi.org/10.1007/s11018-021-01929-x</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Левин С. Ф. Шкала космологических расстояний. Часть 11. «Экстраординарные» доказательства и проблема «космического толчка» // Измерительная техника. 2020. № 11. С. 3–8. https://doi.org/10.32446/0368-1025it.2020-11-3-18</mixed-citation><mixed-citation xml:lang="en">Levin S. F. Measurement Techniques, 2021, vol. 63, no. 11, pp. 849–855. https://doi.org/10.1007/s11018-021-01874-9</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Левин С. Ф. Математическая теория измерительных задач: Приложения. Калибровка космическая и земная – метрологический и научный тупик? // Контрольно-измерительные приборы и системы. 2018. № 2. С. 35–38.</mixed-citation><mixed-citation xml:lang="en">Levin S. F. Matematicheskaya teoriya izmeritel’nyh zadach: Prilozheniya. Kalibrovka kosmicheskaya i zemnaya – metrologicheskij i nauchnyj tupik? Kontrol’no-izmeritel’nye pribory i sistemy, 2018, no. 2, pp. 35–38. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Левин С. Ф. Измерительная задача идентификации анизотропии красного смещения // Метрология. 2010. № 5. С. 3–21.</mixed-citation><mixed-citation xml:lang="en">Levin S. F. Izmeritel’naya zadacha identifikacij anisotropii krasnogo smeshcheniya. Metrologiya, 2010, no. 3, pp. 3–21. (In Russ)</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Левин С. Ф. Шкала космологических расстояний: парадоксы моделей красного смещения // Измерительная техника. 2013. № 3. С. 3–6. https://doi.org/10.1007/s11018-013-0182-5</mixed-citation><mixed-citation xml:lang="en">Levin S. F. Measurement Techniques, 2013, vol. 56, no. 3, pp. 217–222. https://doi.org/10.1007/s11018-013-0182-5</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Левин С. Ф. Фотометрическая шкала космологических расстояний. Часть II. «Неожиданные» совпадения // Измерительная техника. 2014. № 4. С. 3–7.</mixed-citation><mixed-citation xml:lang="en">Levin S. F. Measurement Techniques, 2014, vol. 57, no. 4, pp. 378–384. https://doi.org/10.1007/s11018-014-0464-6</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Левин С. Ф. Шкала космологических расстояний. Часть 6. Статистическая анизотропия красного смещения // Измерительная техника. 2017. № 5. С. 3–6.</mixed-citation><mixed-citation xml:lang="en">Levin S. F. Measurement Techniques, 2017, vol. 60, no. 5, рр. 411–417. https://doi.org/10.1007/s11018-017-1211-6</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">Hoffman Y., Pomarède D., Tully R. B., Courtois H. The Dipole Repeller, arXiv:1702.02483v1 [astro-ph.CO] (8 Feb 2017).</mixed-citation><mixed-citation xml:lang="en">Hoffman Y., Pomarède D., Tully R. B., Courtois H. The Dipole Repeller, arXiv:1702.02483v1 [astro-ph.CO] (8 Feb 2017).</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">Proust D. et al. The Shapley Supercluster: the Largest Matter Concentration in the Local Universe. Reports from Observers. The Messenger, 2006, 124, pp. 30–31, available at: https://www.eso.org/sci/publications/mes-senger/archive/no.124-jun06/messenger-no124-30-31.pdf (accessed: 25.01.2023).</mixed-citation><mixed-citation xml:lang="en">Proust D. et al. The Shapley Supercluster: the Largest Matter Concentration in the Local Universe. Reports from Observers. The Messenger, 2006, 124, pp. 30–31, available at: https://www.eso.org/sci/publications/mes-senger/archive/no.124-jun06/messenger-no124-30-31.pdf (accessed: 25.01.2023).</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">What Is The Great Attractor? Universe Today, 14 Jul 2014, available at: https://www.universetoday.com/113150/what-is-thegreat-attractor/ (accessed: 11.01.2023).</mixed-citation><mixed-citation xml:lang="en">What Is The Great Attractor? Universe Today, 14 Jul 2014, available at: https://www.universetoday.com/113150/what-is-thegreat-attractor/ (accessed: 11.01.2023).</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Cruz M., Cayón L., Martínez-González E., Vielva P., Jin J. Astrophysical Journal, 2007, vol. 655, pр. 11–20. https://doi.org/10.1086/509703</mixed-citation><mixed-citation xml:lang="en">Cruz M., Cayón L., Martínez-González E., Vielva P., Jin J. Astrophysical Journal, 2007, vol. 655, pр. 11–20. https://doi.org/10.1086/509703</mixed-citation></citation-alternatives></ref><ref id="cit37"><label>37</label><citation-alternatives><mixed-citation xml:lang="ru">Schwarz D. J., Weinhorst B. Astronomy &amp; Astrophysics, 2007, vol. 474, no. 3, pр. 717–729. https://doi.org/10.1051/0004-6361:20077998</mixed-citation><mixed-citation xml:lang="en">Schwarz D. J., Weinhorst B. Astronomy &amp; Astrophysics, 2007, vol. 474, no. 3, pр. 717–729. https://doi.org/10.1051/0004-6361:20077998</mixed-citation></citation-alternatives></ref><ref id="cit38"><label>38</label><citation-alternatives><mixed-citation xml:lang="ru">McClure M. L., Dyer C. C. New Astronomy, 2007, vol. 12(7), pр. 533–543. https://doi.org/10.1016/j.newast.2007.03.005</mixed-citation><mixed-citation xml:lang="en">McClure M. L., Dyer C. C. New Astronomy, 2007, vol. 12(7), pр. 533–543. https://doi.org/10.1016/j.newast.2007.03.005</mixed-citation></citation-alternatives></ref><ref id="cit39"><label>39</label><citation-alternatives><mixed-citation xml:lang="ru">Horváth I., Bagoly Z., Hakkila J., Tóth L. V. Astronomy &amp; Astrophysics, 2015, vol. 8, no. 584. https://doi.org/10.1051/0004-6361/201424829</mixed-citation><mixed-citation xml:lang="en">Horváth I., Bagoly Z., Hakkila J., Tóth L. V. Astronomy &amp; Astrophysics, 2015, vol. 8, no. 584. https://doi.org/10.1051/0004-6361/201424829</mixed-citation></citation-alternatives></ref><ref id="cit40"><label>40</label><citation-alternatives><mixed-citation xml:lang="ru">Tully R. B., Courtois H., Hoffman Y., Pomarède D. Nature, 2014, vol. 513, 7516. https://doi.org/10.1038/nature13674</mixed-citation><mixed-citation xml:lang="en">Tully R. B., Courtois H., Hoffman Y., Pomarède D. Nature, 2014, vol. 513, 7516. https://doi.org/10.1038/nature13674</mixed-citation></citation-alternatives></ref><ref id="cit41"><label>41</label><citation-alternatives><mixed-citation xml:lang="ru">Levin S. F. Identification of interpreting models in General Relativity and Cosmology. Physical Interpretation of Relativity Theory: Procee-dings of International Scientific Meeting PIRT2003, Moscow, 30 June – 03 July, 2003, Moscow, Liverpool, Sunderland, Coda, 2003, рр. 72–81.</mixed-citation><mixed-citation xml:lang="en">Levin S. F. Identification of interpreting models in General Relativity and Cosmology. Physical Interpretation of Relativity Theory: Procee-dings of International Scientific Meeting PIRT2003, Moscow, 30 June – 03 July, 2003, Moscow, Liverpool, Sunderland, Coda, 2003, рр. 72–81.</mixed-citation></citation-alternatives></ref><ref id="cit42"><label>42</label><citation-alternatives><mixed-citation xml:lang="ru">Feldman G., Cousins R. Physical Review D, 1998, vol. 57, no. 7, pр. 3873–3889. https://doi.org/10.1103/PhysRevD.57.3873</mixed-citation><mixed-citation xml:lang="en">Feldman G., Cousins R. Physical Review D, 1998, vol. 57, no. 7, pр. 3873–3889. https://doi.org/10.1103/PhysRevD.57.3873</mixed-citation></citation-alternatives></ref><ref id="cit43"><label>43</label><citation-alternatives><mixed-citation xml:lang="ru">Rosi G., Sorrentino F., Cacciapuoti L. et al. Nature, 2014, vol. 510, pр. 518–521. https://doi.org/10.1038/nature13433</mixed-citation><mixed-citation xml:lang="en">Rosi G., Sorrentino F., Cacciapuoti L. et al. Nature, 2014, vol. 510, pр. 518–521. https://doi.org/10.1038/nature13433</mixed-citation></citation-alternatives></ref><ref id="cit44"><label>44</label><citation-alternatives><mixed-citation xml:lang="ru">Quinn T., Parks H., Speake C., Davis R. Physical Review Letters, 2013, vol. 111, iss. 10, 101102. https://doi.org/10.1103/PhysRevLett.111.101102</mixed-citation><mixed-citation xml:lang="en">Quinn T., Parks H., Speake C., Davis R. Physical Review Letters, 2013, vol. 111, iss. 10, 101102. https://doi.org/10.1103/PhysRevLett.111.101102</mixed-citation></citation-alternatives></ref><ref id="cit45"><label>45</label><citation-alternatives><mixed-citation xml:lang="ru">Левин С. Ф. Шкала космологических расстояний. Часть 8. Масштабный фактор // Измерительная техника. 2019. № 1. С. 8–15. https://doi.org/10.32446/0368-1025it.2019-1-8-15</mixed-citation><mixed-citation xml:lang="en">Levin S. F. Measurement Techniques, 2019, vol. 62, no. 1, рр. 7–15. https://doi.org/10.1007/s11018-019-01578-1</mixed-citation></citation-alternatives></ref><ref id="cit46"><label>46</label><citation-alternatives><mixed-citation xml:lang="ru">Левин С. Ф. Проблемы применимости статистических методов в космологии // Ядерная физика и инжиниринг. 2014. Т. 5. № 9-10. С. 813–818. https://doi.org/10.1134/S2079562914080284</mixed-citation><mixed-citation xml:lang="en">Levin S. F. Phys. Atom. Nucl., 2015, vol. 78, no. 13, pp. 1528–1533. https://doi.org/10.1134/S1063778815130190</mixed-citation></citation-alternatives></ref><ref id="cit47"><label>47</label><citation-alternatives><mixed-citation xml:lang="ru">Tsvetkov D. Yu., Pavlyuk N. N., Bartunov O. S., Pskovskii Yu. P. Supernovae Catalogue, Moscow, State Astronomical Sternberg Institute, 2005, available at: www.astronet.ru/db/sn/catalog.html (accessed: 11.01.2023).</mixed-citation><mixed-citation xml:lang="en">Tsvetkov D. Yu., Pavlyuk N. N., Bartunov O. S., Pskovskii Yu. P. Supernovae Catalogue, Moscow, State Astronomical Sternberg Institute, 2005, available at: www.astronet.ru/db/sn/catalog.html (accessed: 11.01.2023).</mixed-citation></citation-alternatives></ref><ref id="cit48"><label>48</label><citation-alternatives><mixed-citation xml:lang="ru">Вучков И., Бояджиева Л., Солаков Е. Прикладной линейный регрессионный анализ: Пер. с болгарского Ю. П. Адлера. М.: Финансы и статистика, 1987. 239 с.</mixed-citation><mixed-citation xml:lang="en">Vuchkov I., Boyadzhieva L., Solakov E. Prikladnoj linejny`j regressionny`j analiz, Moscow, Finansy i statistika Publ., 1987, 239 p. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit49"><label>49</label><citation-alternatives><mixed-citation xml:lang="ru">Левин С. Ф. Шкала космологических расстояний. Часть 12. Конфлюэнтный анализ, ранговая инверсия и тесты на неадекватность // Измерительная техника. 2020. № 12. С. 13–21. https://doi.org/10.32446/0368-1025it.2020-12-13-21</mixed-citation><mixed-citation xml:lang="en">Levin S. F. Measurement Techniques, 2021, vol. 63, no. 11, pp. 940–949. https://doi.org/10.1007/s11018-021-01876-7</mixed-citation></citation-alternatives></ref><ref id="cit50"><label>50</label><citation-alternatives><mixed-citation xml:lang="ru">Смут Дж. Ф. Анизотропия реликтового излучения: открытие и научное значение. Нобелевская лекция. Стокгольм, 8 декабря 2006 г. // УФН. 2007. Т. 177. № 12. С. 1294–1317. https://doi.org/10.3367/UFNr.0177.200712d.1294</mixed-citation><mixed-citation xml:lang="en">Smoot J. F. Nobel lecture, Stockholm, December 8, 2006. Rev. Mod. Phys., 2007, vol. 79, 1349. https://doi.org/10.1103/RevModPhys.79.1349</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
