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Comic of a spherical cow as illustrated by a 1996 meeting of the American Astronomical Association, in reference to astronomy modeling The spherical cow is a humorous
metaphor A metaphor is a figure of speech that, for rhetorical effect, directly refers to one thing by mentioning another. It may provide, or obscure, clarity or identify hidden similarities between two different ideas. Metaphors are usually meant to cr ...
for highly simplified
scientific model Scientific modelling is an activity that produces models representing empirical objects, phenomena, and physical processes, to make a particular part or feature of the world easier to understand, define, quantify, visualize, or simulate. It ...
s of complex phenomena. Originating in
theoretical physics Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain, and predict List of natural phenomena, natural phenomena. This is in contrast to experimental p ...
, the metaphor refers to some scientific tendencies to develop
toy model A toy or plaything is an object that is used primarily to provide entertainment. Simple examples include toy blocks, board games, and dolls. Toys are often designed for use by children, although many are designed specifically for adults and ...
s that reduce a problem to the simplest form imaginable, making calculations more feasible, even if the simplification hinders the model's application to reality.


History

The phrase comes from a joke that spoofs the simplifying assumptions sometimes used in theoretical physics. John Harte, who received his Ph.D. from the
University of Wisconsin A university () is an institution of tertiary education and research which awards academic degrees in several academic disciplines. ''University'' is derived from the Latin phrase , which roughly means "community of teachers and scholars". Uni ...
in 1965, reported that he first heard the joke as a
graduate student Postgraduate education, graduate education, or graduate school consists of Academic degree, academic or professional degrees, certificates, diplomas, or other qualifications usually pursued by higher education, post-secondary students who have ...
. One of the earliest published references is in a 1970 article by Arthur O. Williams Jr. of
Brown University Brown University is a Private university, private Ivy League research university in Providence, Rhode Island, United States. It is the List of colonial colleges, seventh-oldest institution of higher education in the US, founded in 1764 as the ' ...
, who described it as "a professional joke that circulated among scientists a few years ago". The story is told in many variants, including a joke about a physicist who said he could predict the winner of any race provided it involved spherical horses moving through a vacuum. A 1973 letter to the editor in the journal ''
Science Science is a systematic discipline that builds and organises knowledge in the form of testable hypotheses and predictions about the universe. Modern science is typically divided into twoor threemajor branches: the natural sciences, which stu ...
'' describes the "famous story" about a physicist whose solution to a poultry farm's egg-production problems began with "Postulate a spherical chicken".


Cultural references

The concept is familiar enough that the phrase is sometimes used as shorthand for the entire issue of proper modeling. For example, ''Consider a Spherical Cow'' is a 1985 book about problem solving using simplified models. A 2015
paper Paper is a thin sheet material produced by mechanically or chemically processing cellulose fibres derived from wood, Textile, rags, poaceae, grasses, Feces#Other uses, herbivore dung, or other vegetable sources in water. Once the water is dra ...
on the systemic errors introduced by simplifying assumptions about spherical symmetries in galactic dark-matter haloes was titled "Milking the spherical cow – on aspherical dynamics in spherical coordinates". References to the joke appear even outside the field of scientific modeling. "Spherical Cow" was chosen as the code name for the Fedora 18
Linux distribution A Linux distribution, often abbreviated as distro, is an operating system that includes the Linux kernel for its kernel functionality. Although the name does not imply product distribution per se, a distro—if distributed on its own—is oft ...
. In the sitcom ''
The Big Bang Theory ''The Big Bang Theory'' is an American television sitcom created by Chuck Lorre and Bill Prady for CBS. It aired from September 24, 2007, to May 16, 2019, running for 12 seasons and 279 episodes. The show originally centered on five charact ...
'', a joke is told by Dr. Leonard Hofstadter with the punchline mentioning "spherical chickens in a vacuum", in " The Cooper-Hofstadter Polarization" episode. In the space gravity simulator educational video game ''
Universe Sandbox ''Universe Sandbox'' is a series of simulation video games. In ''Universe Sandbox'', users can see the effects of gravity on objects in the universe and run scale simulations of the Solar System, various galaxies or other simulations, while at ...
'', a spherical cow was added as a user-placeable object in March 2023.


See also

* Assume a can opener, a joke about invalid assumptions in economics * Amorphous globosus, a rare and fatal birth defect in cattle, producing a ball of underdeveloped tissue *
Fermi problem A Fermi problem (or Fermi question, Fermi quiz), also known as an order-of-magnitude problem, is an estimation problem in physics or engineering education, designed to teach dimensional analysis or approximation of extreme scientific calculatio ...
, efforts to produce very broad estimates * ''
Homo economicus The term ''Homo economicus'', or economic man, is the portrayal of humans as agents who are consistently rational and narrowly self-interested, and who pursue their subjectively defined ends optimally. It is a wordplay on ''Homo sapiens'', u ...
'', a hypothetical rational person * Naïve physics, also called folk physics *
Schwarzschild metric In Einstein's theory of general relativity, the Schwarzschild metric (also known as the Schwarzschild solution) is an exact solution to the Einstein field equations that describes the gravitational field outside a spherical mass, on the assumpti ...
, an exact solution of the
Einstein field equations In the General relativity, general theory of relativity, the Einstein field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution of Matter#In general relativity and cosmology, matter within it. ...
assuming a uniform spherical symmetric nonrotating uncharged mass in a vacuum


References

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External links


NASA:Exploration of the Universe Division – Supernova models as spherical cows


related history from Space Telescope Institute Humour in science In-jokes Metaphors referring to cattle Scientific modelling Theoretical physics