• A
  • A
  • A
  • АБВ
  • АБВ
  • АБВ
  • A
  • A
  • A
  • A
  • A
Обычная версия сайта
  • RU
  • EN
  • HSE University
  • Publications
  • Book chapter
  • The Twenty-First-Century Singularity in the Big History Perspective—A Re-analysis
  • RU
  • EN
Расширенный поиск
Высшая школа экономики
Национальный исследовательский университет
Priority areas
  • business informatics
  • economics
  • engineering science
  • humanitarian
  • IT and mathematics
  • law
  • management
  • mathematics
  • sociology
  • state and public administration
by year
  • 2027
  • 2026
  • 2025
  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
  • 2009
  • 2008
  • 2007
  • 2006
  • 2005
  • 2004
  • 2003
  • 2002
  • 2001
  • 2000
  • 1999
  • 1998
  • 1997
  • 1996
  • 1995
  • 1994
  • 1993
  • 1992
  • 1991
  • 1990
  • 1989
  • 1988
  • 1987
  • 1986
  • 1985
  • 1984
  • 1983
  • 1982
  • 1981
  • 1980
  • 1979
  • 1978
  • 1977
  • 1976
  • 1975
  • 1974
  • 1973
  • 1972
  • 1971
  • 1970
  • 1969
  • 1968
  • 1967
  • 1966
  • 1965
  • 1964
  • 1963
  • 1958
  • More
Subject
News
July 16, 2026
Team Success: Aligning Means with Objectives
In corporations, sports, and academia, people often face challenges they cannot handle alone. In such cases, selecting the right team is crucial. Tatiana Mayskaya, Associate Professor at the HSE Faculty of Economic Sciences and the International College of Economics and Finance, together with colleagues from foreign universities, examined team characteristics and found that less diverse teams are better suited to objectives where a high average performance is important, whereas more diverse teams are preferable when avoiding failure is critical. The paper has been published in Economic Theory.
July 15, 2026
Economists Propose More Effective Approach to Reducing Smoking
Economists at HSE University have examined how smokers respond to changes in cigarette prices. When tobacco prices increase, cigarette consumption does not always decline. In fact, spending on tobacco may even rise: according to the researchers, a 1% decrease in cigarette affordability leads to a 0.28% increase in per capita tobacco expenditure. The findings suggest that to reduce smoking rates, tobacco prices must rise faster than household incomes. The study has been published in Voprosy Statistiki.
July 15, 2026
HSE MIEM Students to Develop Two Satellites from Scratch for Orbital Experiments
The devices, created by student teams, will conduct space research on the properties of promising solar cells, on-board energy storage systems, and serial electronics for student satellites.

 

Have you spotted a typo?
Highlight it, click Ctrl+Enter and send us a message. Thank you for your help!

Publications
  • Books
  • Articles
  • Chapters of books
  • Working papers
  • Report a publication
  • Research at HSE

?

The Twenty-First-Century Singularity in the Big History Perspective—A Re-analysis

Ch. 2. P. 19–75.
Korotayev A.

The idea that in the near future we should expect “the Singularity” has become quite popular recently, primarily thanks to the activities of Google technical director in the field of machine training Raymond Kurzweil and his book The Singularity Is Near (2005). It is shown that the mathematical analysis of the series of events (described by Kurzweil in his famous book), which starts with the emergence of our galaxy and ends with the decoding of the DNA code, is indeed ideally described by an extremely simple mathematical function (not known to Kurzweil himself) with a singularity in the region of 2029. It is also shown that a similar time series (beginning with the onset of life on Earth and ending with the information revolution—composed by the Russian physicist Alexander Panov completely independently of Kurzweil) is also practically perfectly described by a mathematical function (very similar to the above and not used by Panov) with a singularity in the region of 2027. It is shown that this function is also extremely similar to the equation discovered in 1960 by Heinz von Foerster and published in his famous article in the journal “Science”—this function almost perfectly describes the dynamics of the world population up to the early 1970s and is characterized by a mathematical singularity in the region of 2027. All this indicates the existence of sufficiently rigorous global macroevolutionary regularities (describing the evolution of complexity on our planet for a few billions of years), which can be surprisingly accurately described by extremely simple mathematical functions. At the same time, it is demonstrated that in the region of the Singularity point there is no reason, after Kurzweil, to expect an unprecedented (many orders of magnitude) acceleration of the rates of technological development. There are more grounds for interpreting this point as an indication of an inflection point, after which the pace of global evolution will begin to slow down systematically in the long term.

Language: English
Full text
DOI
Text on another site
Keywords: singularitytechnological developmentBig Historyglobal phase transitionmacrodevelopment
Publication based on the results of:
Instruments and Factors of Socio-Political Destabilization in the Middle East and Central Asia (2019)

In book

The 21st Century Singularity and Global Futures. A Big History Perspective
The 21st Century Singularity and Global Futures. A Big History Perspective
Switzerland: Springer, 2020.
Similar publications
Complexity in Big History. An Introductory Exploration
LePoire D., Grinin L. E., Korotayev A., Journal of Big History 2025 Vol. 8 No. 3 P. 98–139
Building on foundational work in systems theory, thermodynamics, and evolutionary theory, this paper argues that complexity can serve as a conceptual bridge across disciplines. It explores the role of complexity dynamics in Big History through an integrative theoretical framework that spans physical, chemical, geological, biological, social, cognitive, and civilizational domains. By examining how complexity emerges, ...
Added: November 1, 2025
Мир стоит на пороге эпохи технологической сингулярности. Как изменятся тренды базовых глобальных процессов и эволюция человечества
Akaev A., Ильин И. В., Korotayev A., Вестник Российской академии наук 2025 № 9 С. 3–15
The article examines the likelihood of creating artificial intelligence (AI) at the human level (“human intelligence level”, AGI) by 2027-2029 and the onset of the era of technological singularity, when a fundamental change in the mechanism of human evolution will occur. It is noted that this probability is close to one, since these dates surprisingly ...
Added: October 28, 2025
Conclusions: Exploring Big History Periodizations Across Cosmic and Biosocial Dimensions with Ideas for Further Research
LePoire D., Leonid Grinin, Korotayev A., , in: Navigating Complexity in Big History. Exploring Periodization Across Cosmic and Biosocial Dimensions.: Springer, 2025. P. 495–525.
This volume, “Navigating Complexity in Big History—Exploring Periodization Across Cosmic and Biosocial Dimensions” explores the aspects and proposals for periodization of Big History. This includes considering cross-cutting aspects of measuring complexity (e.g., energy, information, or a combination), considering different mechanisms of natural selection, developing a set of criteria to base the evaluation of frameworks, and ...
Added: May 12, 2025
Comparing and Contrasting Big History Singularity Trends of the Big Bang and Terrestrial Evolution
Korotayev A., , in: Navigating Complexity in Big History. Exploring Periodization Across Cosmic and Biosocial Dimensions.: Springer, 2025. P. 101–157.
The point that within the Big History the decelerating growth of complexity in the Universe observed after the Big Bang can be contrasted with the accelerating growth of complexity traced on our planet for four billion years after the emergence of life on the Earth has been already noticed on quite a number of occasions. ...
Added: May 12, 2025
Possible Methodological Ideas for Periodizing Big History
Leonid Grinin, Korotayev A., , in: Navigating Complexity in Big History. Exploring Periodization Across Cosmic and Biosocial Dimensions.: Springer, 2025. P. 49–71.
“The effort to understand the universe is one of the very few things which lifts human life a little above the level of farce and gives it some of the grace of tragedy”. These words of Nobel laureate Steven Weinberg undoubtedly deserve attention, although they dramatize the origins of interest in the problems of the Universe. ...
Added: May 12, 2025
Navigating Complexity in Big History—Exploring Periodization Across Cosmic and Biosocial Dimensions: An Introduction
LePoire D., Leonid Grinin, Andrey Korotayev, , in: Navigating Complexity in Big History. Exploring Periodization Across Cosmic and Biosocial Dimensions.: Springer, 2025. P. 1–27.
Not so many would argue with identifying complexity as a central concept in Big History and universal evolutionism. It is partly because, perhaps, today, many of us are convinced that not only our world but Universe itself is in a state of major change, and the awareness that we are living in a period of ...
Added: May 12, 2025
Navigating Complexity in Big History. Exploring Periodization Across Cosmic and Biosocial Dimensions
David J. L., L. Grinin, Korotayev A., Springer, 2025.
In the editors’ introduction (Chapter 1), the effort to periodize is placed within the historical context along with considerations from complexity science. Subsequent chapters explore various aspects of periodization and complexity by (a) identifying symmetrical cosmic and biosocial trends, (b) testing rigor and criteria for evaluating periodization, (c) attempting to integrate different approaches through multiple ...
Added: May 12, 2025
Rethinking medieval margins and marginality: edited by Ann E. Zimo, Tiffany D. Vann Sprecher, Kathryn Ryerson, Debra Blumenthal, London and New York, Routledge, 2020, 272 pp., $48.95 (paperback), ISBN 9780367439569
Asatryan G., Kalpakian J., Rethinking History 2022 Vol. 26 No. 1 P. 116–118
For a serious academic work, this book is very enjoyable and can be said to have appeal beyond its expected academic readership. It takes analytical categories used to understand the present and looks at how they were applied in the past and how Medieval people, primarily but not exclusively in Europe, understood them. Specifically, the ...
Added: February 22, 2025
HISTORY & MATHEMATICS. HISTORICAL AND TECHNOLOGICAL DYNAMICS: FACTORS, CYCLES, AND TRENDS
Volgograd: Uchitel Publishing House, 2022.
The present Yearbook is subtitled Historical and Technological Dynamics: Factors, Cycles, and Trends. Its articles demonstrate different forms, patterns, and modes of evolutionary development of societies and their subsystems both over very long periods (in fact, the whole historical process) and over relatively short time intervals. We believe that without an in-depth analysis of the ...
Added: December 14, 2022
Размышления об "антропологии времени" и режимах темпоральности: реплики к дискуссии
Агапов М. Г., Васильева З. С., Карасева А. И. et al., Этнографическое обозрение 2021 № 6 С. 102–116
© 2021, Russian Academy of Sciences. All rights reserved.This is a forum discussion of the article “The Anthropology of Time: History and the State of the Art” by Nikolai Ssorin-Chaikov. Authors explicate the article’s main argument and critically engage with its main points, particularly with the concept of temporal multiplicity and relations within it. In ...
Added: October 29, 2022
Технологическая дифференциация развития субъектов Уральского макрорегиона
Evseeva M., Journal of New Economy 2020 Т. 21 № 3 С. 132–157
At the local level, regions are the entities that have to grapple with the problem of Russia’s technological breakthrough directly. The paper aims to uncover the reasons behind the differences in technological development of the subjects of the Ural macroregion. The economics of complexity and new Schumpeterian theory of economic growth constitute the methodological basis ...
Added: October 27, 2022
Уровень технологического развития индустриальных регионов: экосистемный подход
Evseeva M., Стариков Е. Н., Воронов М. П., Управленец 2021 Т. 12 № 3 С. 13–30
Providing effective industrial management is a complex task that can be resolved through a qualitative analysis of the state of the controlled object. The article assesses the influence of the Industrial Development Fund as a key financial institution of the RF industrial policy on technological development of regional industrial ecosystems. The methodological basis of the ...
Added: October 27, 2022
Economics of Technological Leapfrogging
Lee K., , in: The Challenges of Technology and Economic Catch-up in Emerging Economies.: Oxford University Press, 2021. Ch. 5 P. 123–159.
Added: August 2, 2022
Биосоциальная проблема в контексте новой глобальной реальности: фокус на трансформационном потенциале индивида
Sorokin P. S., Психологический журнал 2022 Т. 43 № 1 С. 122–126
The present paper aims to contribute to the discussion, initiated by A.L. Zhuravlev and I.A. Mironen- ko in their recent paper “The Biosocial Problem in the Context of Global Psychological Science: Concerning the “Universal” Human Psychology”. We acknowledge the importance of the mentioned article in terms of novel view on contemporary elaborations around the issues of ...
Added: March 4, 2022
Petro-Gas Chemistry in Russia’s East: Growth Driver or Ballast?
Krukov V. A., Shmat V. V., Regional Research of Russia 2021 No. 11 P. 174–186
The article discusses problems in the development of petro-gas (petroleum) chemistry in Russia’s East. The main modern features of the Russian petrochemical industry and key forks of further development are considered, taking into account the alternative of the domestic and foreign markets. Both sectoral and regional aspects of new projects are analyzed compared to the ...
Added: October 22, 2021
Российский автопром: ключевые особенности, влияние коронакризиса, перспективы развития
Simachev Y. V., Kuzyk M., Бутов А. М., ЭКО 2021 Т. 51 № 8 С. 8–37
Based on in-depth interviews with representatives of Russian auto makers, statistical data, analytical reports and official documents, the paper reviews some key features and trends of the industry prior to the crisis, principal effects of the COVID-19 crisis, and evaluates future prospects of car manufacturing in Russia. The authors demonstrate that the sector utterly depends ...
Added: September 21, 2021
Kinetic singularities at transition points from equilibrium to metastable states of the Lennard-Jones particle system
Negodin V., Polyachenko Y., Fleita D. et al., Journal of Molecular Liquids 2021 Vol. 322 No. 1-3 Article 114954
The equilibrium and metastable states of the Lennard-Jones vapor, liquid, and crystal, are studied in the vicinity of the phase transition points. Vapor-liquid, liquid-vapor, liquid-crystal, and crystal-liquid transitions are modeled within the molecular dynamics method. As a research tool, a four-point correlation function is used for the qualitative detection of collective motions of atoms in ...
Added: May 14, 2021
Conclusion
Korotayev A., LePoire D., , in: The 21st Century Singularity and Global Futures. A Big History Perspective.: Switzerland: Springer, 2020. P. 599–620.
This concluding chapter summarizes major findings of the present collective monograph. It traces the emergence of accelerating innovation rates through history and the major historical transformations through the evolution of life, humans, and civilization. It draws on the concepts from physics and evolutionary biology to offer potential models of the underlying mechanisms driving this acceleration ...
Added: November 13, 2020
Research and developing methods of solving engineering optimization problems for parallel structure robots
Maminov A., Posypkin M., International Journal of Open Information Technologies 2019 Т. 7 № 11 С. 1–7
— We consider the optimization of the key design parameters of the 2-RPR parallel robot in this paper. Optimization is carried out according to two criteria: the area of the workspace of the 2-RPR robot and the controllability index - global dexterity index (GDI). In the process of analyzing the robot, the direct and inverse ...
Added: November 11, 2020
Constrained Multi-objective Robot’s Design Optimization
Posypkin M., Maminov A., , in: IEEE NW Russia Young Researchers in Electrical and Electronic Engineering Conference (EIConRusNW) 2020.: IEEE, 2020. P. 1992–1995.
In this article, we consider an approach for the optimal multi-objective constrained design of the parallel robots. Optimization is carried out according to two key criteria: the workspace area and the global dexterity index (GDI) concerning constrain. The workspace is the area that the robot can serve. The value of the GDI correlates with the quality of this service. Both objectives ...
Added: November 1, 2020
Characteristic points, fundamental cubic form and Euler characteristic of projective surfaces
Kazaryan M., Uribe-Vargas R., Moscow Mathematical Journal 2020 Vol. 20 No. 3 P. 511–530
We define local indices for projective umbilics and godrons (also called cusps of Gauss) on generic smooth surfaces in projective 3-space. By means of these indices, we provide formulas that relate the algebraic numbers of those characteristic points on a surface (and on domains of the surface) with the Euler characteristic of that surface (resp. ...
Added: August 24, 2020
Extended $r$-spin theory and the mirror symmetry for the $A_{r-1}$-singularity
Buryak A., Moscow Mathematical Journal 2020 Vol. 20 No. 3 P. 475–493
By a famous result of K. Saito, the parameter space of the miniversal deformation of the $A_{r-1}$-singularity carries a Frobenius manifold structure. The Landau-Ginzburg mirror symmetry says that, in the flat coordinates, the potential of this Frobenius manifold is equal to the generating series of certain integrals over the moduli space of $r$-spin curves. In ...
Added: May 22, 2020
  • About
  • About
  • Key Figures & Facts
  • Sustainability at HSE University
  • Faculties & Departments
  • International Partnerships
  • Faculty & Staff
  • HSE Buildings
  • HSE University for Persons with Disabilities
  • Public Enquiries
  • Studies
  • Admissions
  • Programme Catalogue
  • Undergraduate
  • Graduate
  • Exchange Programmes
  • Summer University
  • Summer Schools
  • Semester in Moscow
  • Business Internship
  • Research
  • International Laboratories
  • Research Centres
  • Research Projects
  • Monitoring Studies
  • Conferences & Seminars
  • Academic Jobs
  • Yasin (April) International Academic Conference on Economic and Social Development
  • Media & Resources
  • Publications by staff
  • HSE Journals
  • Publishing House
  • iq.hse.ru: commentary by HSE experts
  • Library
  • Economic & Social Data Archive
  • Video
  • HSE Repository of Socio-Economic Information
  • HSE1993–2026
  • Contacts
  • Copyright
  • Privacy Policy
  • Site Map
Edit