Exotic Spaces
Exotic may refer to: Mathematics and physics * Exotic R4, a differentiable 4-manifold, homeomorphic but not diffeomorphic to the Euclidean space R4 *Exotic sphere, a differentiable ''n''-manifold, homeomorphic but not diffeomorphic to the ordinary ''n''-sphere *Exotic atom, an atom with one or more electrons replaced by other negatively charged particles *Exotic hadron **Exotic baryon, bound states of 3 quarks and additional particles **Exotic meson, non-quark model mesons *Exotic matter, a hypothetical concept of particle physics Music * "Exotic" (1963 song), a song by The Sentinals from the 1963 album ''Surf Crazy - Original Surfin' Hits'' * "Exotic" (Lil Baby song), 2018 * "Exotic" (Priyanka Chopra song), a 2012 song by Priyanka Chopra featuring Pitbull Flora and fauna *Exotic pet *Exotic Shorthair, a breed of cat *Exotic species (or introduced species), a species not native to an area Other *Exotic dancer, a type of dancer or stripper *Exotic derivative, a type of financia ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Exotic R4
In mathematics, an exotic \R^4 is a differentiable manifold that is homeomorphic (i.e. shape preserving) but not diffeomorphic (i.e. non smooth) to the Euclidean space \R^4. The first examples were found in 1982 by Michael Freedman and others, by using the contrast between Freedman's theorems about topological 4-manifolds, and Simon Donaldson's theorems about smooth 4-manifolds. There is a continuum of non-diffeomorphic differentiable structures of \R^4, as was shown first by Clifford Taubes. Prior to this construction, non-diffeomorphic smooth structures on spheres exotic sphereswere already known to exist, although the question of the existence of such structures for the particular case of the 4-sphere remained open (and still remains open as of 2022). For any positive integer ''n'' other than 4, there are no exotic smooth structures on \R^n; in other words, if ''n'' ≠ 4 then any smooth manifold homeomorphic to \R^n is diffeomorphic to \R^n. Small exotic R4s An exotic \R^ ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Exotic Sphere
In an area of mathematics called differential topology, an exotic sphere is a differentiable manifold ''M'' that is homeomorphic but not diffeomorphic to the standard Euclidean ''n''-sphere. That is, ''M'' is a sphere from the point of view of all its topological properties, but carrying a smooth structure that is not the familiar one (hence the name "exotic"). The first exotic spheres were constructed by in dimension n = 7 as S^3- bundles over S^4. He showed that there are at least 7 differentiable structures on the 7-sphere. In any dimension showed that the diffeomorphism classes of oriented exotic spheres form the non-trivial elements of an abelian monoid under connected sum, which is a finite abelian group if the dimension is not 4. The classification of exotic spheres by showed that the oriented exotic 7-spheres are the non-trivial elements of a cyclic group of order 28 under the operation of connected sum. Introduction The unit ''n''-sphere, S^n, is the set of all ('' ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Exotic Atom
An exotic atom is an otherwise normal atom in which one or more sub-atomic particles have been replaced by other particles of the same charge. For example, electrons may be replaced by other negatively charged particles such as muons (muonic atoms) or pions (pionic atoms).Exotic atoms , AccessScience, McGraw-Hill. accessdate=September 26, 2007. Because these substitute particles are usually unstable, exotic atoms typically have very short lifetimes and no exotic atom observed so far can persist under normal conditions. Muonic atoms In a ''muonic atom'' (previously called a ''mu-mesic'' atom, now known to be a misnomer as muon ...[...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Exotic Hadron
Exotic hadrons are subatomic particles composed of quarks and gluons, but which – unlike "well-known" hadrons such as protons, neutrons and mesons – consist of more than three valence quarks. By contrast, "ordinary" hadrons contain just two or three quarks. Hadrons with explicit valence gluon content would also be considered exotic. In theory, there is no limit on the number of quarks in a hadron, as long as the hadron's color charge is white, or color-neutral. Consistent with ordinary hadrons, exotic hadrons are classified as being either fermions, like ordinary baryons, or bosons, like ordinary mesons. According to this classification scheme, pentaquarks, containing five valence quarks, are exotic baryons, while tetraquarks (four valence quarks) and hexaquarks (six quarks, consisting of either a dibaryon or three quark-antiquark pairs) would be considered exotic mesons. Tetraquark and pentaquark particles are believed to have been observed and are being investigated; Hexaquar ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Exotic Baryon
Exotic baryons are a type of hadron (bound states of quarks and gluons) with half-integer spin, but with a quark content different from the three quarks (''qqq'') present in conventional baryons. An example would be pentaquarks, consisting of four quarks and one antiquark (''qqqqq̅''). So far, the only observed exotic baryons are the pentaquarks , discovered in 2015, in 2019 and in 2022 by the LHCb collaboration. Several types of exotic baryons that require physics beyond the Standard Model have been conjectured in order to explain specific experimental anomalies. There is no independent experimental evidence for any of these particles. One example is supersymmetric R-baryons, which are bound states of 3 quarks and a gluino. The lightest R-baryon is denoted as S and consists of an up quark, a down quark, a strange quark and a gluino. This particle is expected to be long lived or stable and has been invoked to explain ultra-high-energy cosmic rays. Stable exotic baryons are als ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Exotic Meson
Exotic mesons are mesons that have quantum numbers not possible in the quark model; some proposals for non-standard quark model mesons could be: ;glueballs or gluonium: Glueballs have no valence quarks at all. ;tetraquarks: Tetraquarks have two valence quark–antiquark pairs. ;hybrid mesons: Hybrid mesons contain a valence quark–antiquark pair and one or more gluons. All exotic mesons are classed as mesons because they are hadrons and carry zero baryon number. Of these, glueballs must be flavor singlets – that is, must have zero isospin, strangeness, charm, bottomness, and topness. Like all particle states, exotic mesons are specified by the quantum numbers which label representations of the Poincaré symmetry, q.e., by the mass (enclosed in parentheses), and by , where is the angular momentum, is the intrinsic parity, and is the charge conjugation parity; One also often specifies the isospin of the meson. Typically, every quark model meson comes in SU(3) flavor nonet: a ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Exotic Matter
There are several proposed types of exotic matter: * Hypothetical particles and states of matter that have "exotic" physical properties that would violate known laws of physics, such as a particle having a negative mass. * Hypothetical particles and states of matter that have not yet been encountered, but whose properties would be within the realm of mainstream physics if found to exist. * Several particles whose existence has been experimentally confirmed that are conjectured to be exotic hadrons and within the Standard Model. * States of matter In physics, a state of matter is one of the distinct forms in which matter can exist. Four states of matter are observable in everyday life: solid, liquid, gas, and plasma. Many intermediate states are known to exist, such as liquid crystal, ... that are not commonly encountered, such as Bose–Einstein condensates, fermionic condensates, nuclear matter, quantum spin liquid, string-net liquid, supercritical fluid, color-glass c ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Exotic (1963 Song)
"Exotic" is a song composed by Bruce Morgan and recorded by various bands back in 1963 when it was first released. Morgan is more known for having written songs like "Surfer Girl" and "Luau" for The Beach Boys. Known recordings * 1963 - The Sentinals recorded "Exotic" in their album "Big Surf!" for Del-Fi Records * 1963 - Bob Vaught & The Renegaids recorded "Exotic" as a 7" Single, with "Surfin' Tragedy" as a B-side for GNP Crescendo * 1963 - The Rhythm Kings recorded "Exotic" as a B-side for their single "Blue Soul", also from GNP Crescendo. This same track was later re-released by the same publisher in a compilation album named "Original Surfin' Hits" and again in a 1964 compilation titled "Dance With The Jet Set! At The World's Great Discotheques" * 1986 - The Raunch Hands recorded "Exotic" for their album "Learn To Whap-A-Dang" for Relativity Records * 1994 - The Del Lagunas Exotic B/W Twine Time - 7" Single - Sympathy For The Record Industry * 1995 - Dave Myers And Th ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Exotic (Lil Baby Song)
Exotic may refer to: Mathematics and physics * Exotic R4, a differentiable 4-manifold, homeomorphic but not diffeomorphic to the Euclidean space R4 *Exotic sphere, a differentiable ''n''-manifold, homeomorphic but not diffeomorphic to the ordinary ''n''-sphere *Exotic atom, an atom with one or more electrons replaced by other negatively charged particles *Exotic hadron **Exotic baryon, bound states of 3 quarks and additional particles **Exotic meson, non-quark model mesons *Exotic matter, a hypothetical concept of particle physics Music * "Exotic" (1963 song), a song by The Sentinals from the 1963 album ''Surf Crazy - Original Surfin' Hits'' * "Exotic" (Lil Baby song), 2018 * "Exotic" (Priyanka Chopra song), a 2012 song by Priyanka Chopra featuring Pitbull Flora and fauna *Exotic pet *Exotic Shorthair, a breed of cat *Exotic species (or introduced species), a species not native to an area Other *Exotic dancer, a type of dancer or stripper *Exotic derivative, a type of financia ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Exotic (Priyanka Chopra Song)
"Exotic" is the second single by Indian recording artist Priyanka Chopra, featuring American rapper Pitbull. The song was released as a single by Interscope Records on July 9, 2013. "Exotic" was written by Chopra, Pitbull and RedOne, who also produced the song. It contains both English and Hindi lyrics. The single debuted and peaked on ''Billboard''s Hot Dance Club Songs at No. 12 and on Dance/Electronic Digital Songs at No. 16. The single also debuted and peaked on the Canadian Hot 100 at No. 74. The song was selected as the official theme song of Guinness International Champion Cup 2013. The accompanying music video for "Exotic" was filmed in Miami and was released on July 11, 2013. Background and composition "Exotic" was written by Pitbull, Chopra and RedOne and produced by RedOne. The song contains both English and Hindi lyrics. Chopra spoke to The Hollywood Reporter about the song's composition and about the inclusion of Hindi language lyrics: "My upcoming album is in ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Exotic Pet
An exotic pet is a pet which is relatively rare or unusual to keep, or is generally thought of as a wild species rather than as a domesticated pet. The definition varies by culture, location, and over time—as animals become firmly enough established in the world of animal fancy, they may no longer be considered ''exotic''. Definitions The definition is an evolving one; some rodents, reptiles, and amphibians have become firmly enough established in the world of animal fancy to no longer be considered exotic. Sometimes any unique or wild-looking pet (including common domestic animals such as the ferret and the rat) is considered an exotic pet. "Exotic" often refers to a species which is not native or indigenous to the owner's locale, and "pet" is a companion animal living with people. However, many use the term to include native species as well (e.g., snakes may sometimes be considered exotic as pets even in places where they are found in the wild). The international organi ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Exotic Shorthair
The Exotic Shorthair is a breed of cat developed as a short-haired version of the Persian. The Exotic is similar to the Persian in many ways, including temperament and conformation, a flat nose and face with the exceptions of the short dense coat. In the late 1950s, the Persian was used as an outcross by some American Shorthair breeders. This was done in secret in order to improve their body type, and crosses were also made with the Russian Blue and the Burmese. The crossbreed look gained recognition in the show ring, but unhappy American Shorthair breeders successfully produced a new breed standard that would disqualify American Shorthairs that showed signs of crossbreeding. One American Shorthair breeder who saw the potential of the Persian/American Shorthair cross proposed and eventually got the Cat Fanciers' Association judge and American Shorthair breeder Jane Martinke to recognize them as a new breed in 1966, under the name Exotic Shorthair. In 1987, the Cat Fanciers' Asso ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |