Singularity or singular point may refer to:

Science, technology, and mathematics

Mathematics

Mathematical singularity In mathematics, a singularity is a point at which a given mathematical object is not defined, or a point where the mathematical object ceases to be well-behaved in some particular way, such as by lacking differentiability or analyticity. For exa ...

, a point at which a given mathematical object is not defined or not "well-behaved", for example infinite or not differentiable

Geometry

Singular point of a curve In geometry, a singular point on a curve is one where the curve is not given by a smooth embedding of a parameter. The precise definition of a singular point depends on the type of curve being studied. Algebraic curves in the plane Algebraic cur ...

, where the curve is not given by a smooth embedding of a parameter *

Singular point of an algebraic variety In the mathematical field of algebraic geometry, a singular point of an algebraic variety is a point that is 'special' (so, singular), in the geometric sense that at this point the tangent space at the variety may not be regularly defined. In ca ...

, a point where an algebraic variety is not locally flat *

Rational singularity In mathematics, more particularly in the field of algebraic geometry, a scheme X has rational singularities, if it is normal, of finite type over a field of characteristic zero, and there exists a proper birational map :f \colon Y \rightarrow ...

Natural sciences

* Singularity (system theory), in dynamical and social systems, a context in which a small change can cause a large effect *

Gravitational singularity A gravitational singularity, spacetime singularity, or simply singularity, is a theoretical condition in which gravity is predicted to be so intense that spacetime itself would break down catastrophically. As such, a singularity is by defini ...

, in general relativity, a point in which gravity is so intense that spacetime itself becomes ill-defined **

Initial singularity The initial singularity is a singularity predicted by some models of the Big Bang theory to have existed before the Big Bang. The instant immediately following the initial singularity is part of the Planck epoch, the earliest period of time in th ...

, a hypothesized singularity of infinite density before quantum fluctuations caused the Big Bang and subsequent inflation that created the Universe *

Penrose–Hawking singularity theorems The Penrose–Hawking singularity theorems (after Roger Penrose and Stephen Hawking) are a set of results in general relativity that attempt to answer the question of when gravitation produces singularities. The Penrose singularity theorem is ...

, in general relativity theory, theorems about how gravitation produces singularities such as in black holes * Prandtl–Glauert singularity, the point at which a sudden drop in air pressure occurs * Singularity (climate), a weather phenomenon associated with a specific calendar date *

Van Hove singularity In condensed matter physics, a Van Hove singularity is a singularity (non-smooth point) in the density of states (DOS) of a crystalline solid. The wavevectors at which Van Hove singularities occur are often referred to as critical points of the B ...

in the density of states of a material

Technology

Singularity (operating system) Singularity is an experimental operating system developed by Microsoft Research between July 9, 2003, and February 7, 2015. It was designed as a high dependability OS in which the kernel, device drivers, and application software were all writte ...

, an experimental operating system developed by Microsoft Research *

Mechanical singularity In engineering, a mechanical singularity is a position or configuration of a mechanism or a machine where the subsequent behaviour cannot be predicted, or the forces or other physical quantities involved become infinite or nondeterministic. When ...

, a position or configuration of a mechanism or a machine where the subsequent behavior cannot be predicted * Singularity (software), a container technology that does not require root permissions to run

Futurology

Technological singularity The technological singularity—or simply the singularity—is a hypothetical point in time at which technological growth becomes uncontrollable and irreversible, resulting in unforeseeable consequences for human civilization. According to the ...

, a hypothetical point in time when technological growth becomes uncontrollable and irreversible

Arts and entertainment

Film and television

* "Singularity", a first-season episode of Disney's ''

So Weird ''So Weird'' is a television series that aired on Disney Channel as a mid-season replacement from January 18, 1999, to September 28, 2001. The series was shot in Vancouver, British Columbia. In the first two seasons, the series centered on the ...

'' * "Singularity" (''Star Trek: Enterprise''), a second-season episode of ''Star Trek: Enterprise'' * "The Singularity" (''Agents of S.H.I.E.L.D.''), a third-season episode of ''Agents of S.H.I.E.L.D.'' * "Singularity", a first-season episode of ''

Stargate SG-1 ''Stargate SG-1'' (often stylized in all caps, or abbreviated ''SG-1'') is a military science fiction Adventure fiction, adventure television series within Metro-Goldwyn-Mayer's Stargate, ''Stargate'' franchise. The show, created by Brad Wrig ...

'' * ''The Singularity'' (film), a 2012 documentary about the technological singularity * ''Singularity'' (2017 film), American science fiction film starring John Cusack * ''Singularity'', the working title for ''

The Lovers The Lovers (VI) is the sixth trump (card games), trump or Major Arcana card in most traditional Tarot decks. It is used in Tarot card games, game playing as well as in Tarot reading, divination. Interpretation According to A. E. Waite's 191 ...

'', starring Josh Hartnett and Bipasha Basu * ''

Godzilla Singular Point is a Japanese anime television series directed by Atsushi Takahashi and written by Toh EnJoe. Produced by the animation studios Bones and Orange and licensed by Netflix, the series premiered on March 25, 2021, on Netflix in Japan, and on Tok ...

'', a 2021 Japanese anime surrounding Godzilla

Literature

* ''Singularity'' (Sleator novel), a 1985 science-fiction novel by William Sleator * ''Singularity'' (DeSmedt novel), a 2004 novel by Bill DeSmedt * ''Singularity'' (audio drama), a 2005 ''Doctor Who'' audio drama * '' Singularity 7'', a graphic novel by Ben Templesmith * ''

The Singularity Is Near ''The Singularity Is Near: When Humans Transcend Biology'' is a 2005 non-fiction book about artificial intelligence and the future of humanity by inventor and futurist Ray Kurzweil. A sequel book, '' The Singularity Is Nearer'', was released on J ...

'', a 2005 book by Ray Kurzweil on the technological singularity * ''

The Singularity Is Nearer ''The Singularity Is Nearer: When We Merge with AI'' is a nonfiction book by futurist Ray Kurzweil. It is the sequel to his 2005 bestseller, ''The Singularity Is Near''. The book was released on June 25, 2024. Kurzweil reiterates two key dates fr ...

'', a 2024 sequel to Ray Kurzweil's 2005 book *

Singularity (comics) ''A-Force'' is a comic book series published by Marvel Comics that debuted in May 2015 as a part of Marvel's "Secret Wars" crossover storyline. It was created by writers G. Willow Wilson, Marguerite Bennett, and artist Jorge Molina. It featu ...

, the Marvel Comics character * ''Singularity'', a 2023 novel by

Jeremy Robinson Jeremy Robinson (born October 22, 1974), also known as Jeremy Bishop, Jeremiah Knight, and other pen names, is an author of sixty novels and novellas. He is known for mixing elements of science, history, and mythology. Many of his novels have b ...

, which is the finale of the "Infinite Timeline" * ''The Singularity'', Anne Milano Appel's 2024 English translation of Dino Buzzati's 1960 novel ''Il grande ritratto'' ('' Larger than Life'')

Music

Albums

* ''Singularity'' (Joe Morris album), 2001 * ''Singularity'' (Peter Hammill album), 2006 * ''Singularity'' (Mae album), 2007 * ''Singularity'' (Robby Krieger album), 2010 * ''Singularity'' (Northlane album), 2013 * ''Singularity'' (Jon Hopkins album), 2018 * ''Singularity'', a 2014 EP by Lemaitre * '' The Singularity (Phase I – Neohumanity)'', 2014 album by Swedish metal band Scar Symmetry * Singularity (Lead album), 2020 album

Songs

* "Singularity" (song), performed by V of the South Korean group BTS from their 2018 album ''Love Yourself: Tear'' * "Singularity", by Believer on the 1993 album ''

Dimensions In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus, a line has a dimension of one (1D) because only one coordi ...

'' * "Singularity", by Caligula's Horse on the 2011 album '' Moments from Ephemeral City'' * "Singularity", by Textures on the 2011 album ''

Dualism Dualism most commonly refers to: * Mind–body dualism, a philosophical view which holds that mental phenomena are, at least in certain respects, not physical phenomena, or that the mind and the body are distinct and separable from one another * P ...

'' * "Singularity", by Born of Osiris on the 2011 album '' The Discovery'' * "Singularity", by Steve Aoki & Angger Dimas featuring My Name Is Kay from '' It's the End of the World as We Know It'', 2013 * "Singularity", by Tesseract on the 2013 album '' Altered State'' * "Singularity", by New Order on the 2015 album ''

Music Complete ''Music Complete'' is the tenth studio album by English rock band New Order. It was released on 25 September 2015 by Mute Records, their debut on the label. The album features guest vocals from Elly Jackson of La Roux, Iggy Pop, and Brandon ...

'' * "Singularity", by Devin Townsend on the 2019 album ''

Empath Empath (; ) is a term for people who have a higher than usual level of empathy. In parapsychology, the mechanism for being an empath is said to be psychic channeling; psychics and mediums say that they channel the emotional states and exper ...

People

*Singularity, stage name of Grey's Kyle Trewartha

Video games

* ''Singularity'' (video game), a 2010 video game developed by Raven Software * '' Endgame: Singularity'', a 2005 video game

Organizations

Singularity University Singularity Education Group (using the public names Singularity Group, Singularity University or SingularityU) is an American company that offers executive educational programs, a business incubator, and business consultancy services. Although t ...

, a California Benefit Corporation part think-tank, part business incubator, based on Ray Kurzweil's theory of technological singularity *

Machine Intelligence Research Institute The Machine Intelligence Research Institute (MIRI), formerly the Singularity Institute for Artificial Intelligence (SIAI), is a non-profit research institute focused since 2005 on identifying and managing potential existential risks from artifi ...

(MIRI), formerly "The Singularity Institute for Artificial Intelligence" (SIAI) ** Singularity Summit, its annual conference