Initial singularity

Short description: Time period of seeming infinite density just after the Big Bang

Scheme of extrapolation of a patch of universe back in time up to the point where classical physics predicts a singularity.

The initial singularity or the Big Bang singularity is a simplified model for the origin of the universe, obtained by extrapolating the Big Bang model of cosmology backward to a state of arbitrarily high density and temperature. While the Big Bang refers to the hot, dense state in the early universe from which the expansion of the universe began, extrapolating general relativity beyond this state leads to a singularity. However, this singularity is considered a breakdown of the current theoretical models, not a physically meaningful description of the universe’s origin.

## Contents

* 1 Big Bang model
* 1.1 In popular media
* 1.2 History
* 1.3 Surveys
* 2 Lack of quantum mechanics
* 3 Alternatives to a singularity
* 4 References

## Big Bang model

Main article: Astronomy:Big Bang

Existing theories of physics cannot tell us about the moment of the Big Bang.[1] Extrapolation of the expansion of the universe backwards in time using only classical general relativity yields a gravitational singularity with infinite density and temperature at a finite time in the past.[2] However this classical gravitational theory is expected to be inadequate to describe physics under these conditions.[3]: 275 Thus the meaning of this singularity in the context of the Big Bang is unclear.[4]

### In popular media

On the web and in popular science media, the Big Bang model is associated with an initial singularity. The reason seems to be simple extrapolation. Matt Strassler provides an example to illustrate why this extrapolation is illogical. Imagine extrapolating your life backwards in time: you become a child, then a baby, then a fetus. However, you don't reverse to a singularity because the process of cellular division does not extrapolate to zero size. Similarly extrapolating the Big Bang model to zero time enters a region where the model does not apply.[5]

### History

In 1922, Alexander Friedmann derived the Friedmann equations from Albert Einstein's general relativity.[6] He predicted an expanding universe and asked if there could be singularity in the past. Lev Landau formalized the question in 1959.[6] Vladimir Belinski, Isaak Khalatnikov, and Evgeny Lifshitz studied solution of Einstein equations near the singularity in 1969.[6] According to the Belinski–Khalatnikov–Lifshitz theory, the singularity is a general property of symmetrical models based on general relativity, even for large dimensional models and supergravity models.[6] This paper indicated a chaotic dynamics near the singularity known as the Mixmaster universe, a model developed by Charles W. Misner the same year.[7]

In 1970, Stephen Hawking and Roger Penrose developed the Penrose–Hawking singularity theorems for black holes and cosmological models, showing that the Big Bang singularity is inevitable under more general assumptions.[8][7] In 2003, Arvind Borde, Alan Guth and Alexander Vilenkin considered a more general case. The Borde–Guth–Vilenkin theorem shows that a universe that expands on average is finite in the past for general f(R) gravity (more general than Einstein equations) and this result independent of the matter content of the universe.[9] The BGV theorem however does not necessarily indicate a global singularity for all possible observers.[9]

### Surveys

According to a 2026 survey shared to 1675 members from the American Physical Society, 68% of respondents consider the Big Bang as a "hot dense state which may or may not correspond to the beginning of time", 20% consider that it corresponds to the beginning of time and it is a singularity, 5 % considered that the Big Bang was not a singularity but was the beginning of time; 4% chose the option of "other" and 3% preferred the "no opinion" option.[10]

## Lack of quantum mechanics

Quantum mechanics becomes a significant factor in the high-energy environment of the earliest stage of the universe: general relativity on its own fails to make accurate predictions.[11] In response to the inaccuracy of considering only general relativity, as in the traditional model of the Big Bang, alternative theoretical formulations for the beginning of the universe have been proposed, including a string theory-based model in which two branes, enormous membranes much larger than the universe, collided, creating mass and energy.[12]

## Alternatives to a singularity

The considerable success of inflationary cosmology may make the singularity and any alternatives irrelevant for practical purposes. Inflation creates initial conditions shown to work with Big Bang models to produce agreement with astrophysical observations. It works equally well if there is a singularity, bounce, or some form of a quantum creation event.[13]: 26

## References

1. ↑ Chow, Tai L. (2008). Gravity, black holes, and the very early universe: an introduction to general relativity and cosmology. New York: Springer. ISBN 978-0-387-73629-7.
2. ↑ Hawking, Stephen W.; Ellis, George F. R. (1973). The Large-Scale Structure of Space-Time. Cambridge, UK: Cambridge University Press. ISBN 978-0-521-20016-5. OCLC 1120809270. https://archive.org/details/TheLargeScaleStructureOfSpaceTime.
3. ↑ Peacock, J. A. (1998-12-28). Cosmological Physics (1 ed.). Cambridge University Press. doi:10.1017/cbo9780511804533. ISBN 978-0-521-41072-4. https://www.cambridge.org/core/product/identifier/9780511804533/type/book.
4. ↑ Senovilla, José M. M. (May 1998). "Singularity Theorems and Their Consequences" (in en). General Relativity and Gravitation 30 (5): 701–848. doi:10.1023/A:1018801101244. ISSN 0001-7701. Bibcode: 1998GReGr..30..701S. http://link.springer.com/10.1023/A:1018801101244.
5. ↑ "Did The Universe Really Begin With a Singularity?" (in en-US). March 21, 2014. https://profmattstrassler.com/2014/03/21/did-the-universe-begin-with-a-singularity/.
6. ↑ 6.0 6.1 6.2 6.3 Belinski, Vladimir; Henneaux, Marc (2017-10-26). "Preface" (in en). The Cosmological Singularity. Cambridge University Press. ISBN 978-1-108-54799-4. https://books.google.com/books?id=UgVADwAAQBAJ&dq=initial+singularity+review&pg=PP1.
7. ↑ 7.0 7.1 Khalatnikov, Isaak M.; Kamenshchik, Aleksandr Yu (2008-06-01). "Lev Landau and the problem of singularities in cosmology" (in en). Physics-Uspekhi 51 (6): 609–616. doi:10.1070/pu2008v051n06abeh006550. ISSN 1063-7869. https://ufn.ru/en/articles/2008/6/i.
8. ↑ The Nobel Committee for Physics (2020). "Theoretical foundation for black holes and the supermassive compact object at the Galactic centre". https://www.nobelprize.org/uploads/2020/10/advanced-physicsprize2020.pdf.
9. ↑ 9.0 9.1 Borde, Arvind; Guth, Alan H.; Vilenkin, Alexander (2003-04-15). "Inflationary Spacetimes Are Incomplete in Past Directions". Physical Review Letters 90 (15). doi:10.1103/physrevlett.90.151301. ISSN 0031-9007. PMID 12732026. Bibcode: 2003PhRvL..90o1301B. https://doi.org/10.1103/physrevlett.90.151301.
10. ↑ Afshordi, Niayesh; Halper, Phil; Rini, Matteo; Schirber, Michael (May 12, 2026). "Far from Settled: Respondents at Odds over Greatest Physics Mysteries". https://physics.aps.org/articles/v19/34.
11. ↑ Penn State (2 July 2007). "What Happened Before The Big Bang?". ScienceDaily. https://www.sciencedaily.com/releases/2007/07/070702084231.htm. Retrieved April 16, 2012.
12. ↑ Lamb, Robert (12 May 2010). "Branes, Crunches, and Other Big Ideas". What existed before the big bang?. HowStuffWorks. http://science.howstuffworks.com/dictionary/astronomy-terms/before-big-bang1.htm. Retrieved April 16, 2012.
13. ↑ Linde, Andrei (2008), Lemoine, Martin; Martin, Jerome; Peter, Patrick, eds. (in en), Inflationary Cosmology, Lecture Notes in Physics, 738, Berlin, Heidelberg: Springer Berlin Heidelberg, pp. 1–54, doi:10.1007/978-3-540-74353-8_1, ISBN 978-3-540-74352-1, http://link.springer.com/10.1007/978-3-540-74353-8_1, retrieved 2025-09-07

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