World line, the Glossary
The world line (or worldline) of an object is the path that an object traces in 4-dimensional spacetime.[1]
Table of Contents
88 relations: Academic Press, Anathem, Annual Review of Nuclear and Particle Science, Bilinear form, Brane, Charles Howard Hinton, Charles Stross, Closed timelike curve, Continuous function, Coordinate system, Coulomb's law, Curvature, Dimension, Dirac sea, Eddington–Finkelstein coordinates, Einstein field equations, Event (relativity), Feynman diagram, Four-velocity, Free fall, General covariance, General relativity, Geodesic, Gravity, H2g2, Helix, Hermann Minkowski, Hyperbolic orthogonality, Inertial frame of reference, Isotropic line, James Blish, John Charles Fields, Kernel (linear algebra), Life-Line, Light cone, Ludwik Silberstein, Macmillan Publishers, Mages (company), Manifold, Methuselah's Children, Metric space, Metric tensor, Minkowski space, Neal Stephenson, Nominalism, Nuclear Physics (journal), Orbit, Orthogonal complement, Path (topology), Perception, ... Expand index (38 more) »
- Minkowski spacetime
- Time in science
Academic Press
Academic Press (AP) is an academic book publisher founded in 1941.
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Anathem
Anathem is a science fiction novel by American writer Neal Stephenson, published in 2008.
Annual Review of Nuclear and Particle Science
The Annual Review of Nuclear and Particle Science is a peer-reviewed academic journal that publishes review articles about nuclear and particle science.
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Bilinear form
In mathematics, a bilinear form is a bilinear map on a vector space (the elements of which are called vectors) over a field K (the elements of which are called scalars).
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Brane
In string theory and related theories (such as supergravity theories), a brane is a physical object that generalizes the notion of a zero-dimensional point particle, a one-dimensional string, or a two-dimensional membrane to higher-dimensional objects.
Charles Howard Hinton
Charles Howard Hinton (1853 – 30 April 1907) was a British mathematician and writer of science fiction works titled Scientific Romances.
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Charles Stross
Charles David George "Charlie" Stross (born 18 October 1964) is a British writer of science fiction and fantasy.
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Closed timelike curve
In mathematical physics, a closed timelike curve (CTC) is a world line in a Lorentzian manifold, of a material particle in spacetime, that is "closed", returning to its starting point.
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Continuous function
In mathematics, a continuous function is a function such that a small variation of the argument induces a small variation of the value of the function.
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Coordinate system
In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
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Coulomb's law
Coulomb's inverse-square law, or simply Coulomb's law, is an experimental law of physics that calculates the amount of force between two electrically charged particles at rest.
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Curvature
In mathematics, curvature is any of several strongly related concepts in geometry that intuitively measure the amount by which a curve deviates from being a straight line or by which a surface deviates from being a plane.
Dimension
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. World line and dimension are theory of relativity.
Dirac sea
The Dirac sea is a theoretical model of the electron vacuum as an infinite sea of electrons with negative energy, now called positrons.
Eddington–Finkelstein coordinates
In general relativity, Eddington–Finkelstein coordinates are a pair of coordinate systems for a Schwarzschild geometry (e.g. a spherically symmetric black hole) which are adapted to radial null geodesics.
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Einstein field equations
In the 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 within it.
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Event (relativity)
In relativity, an event is anything that happens that has a specific time and place in spacetime. World line and event (relativity) are theory of relativity.
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Feynman diagram
In theoretical physics, a Feynman diagram is a pictorial representation of the mathematical expressions describing the behavior and interaction of subatomic particles.
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Four-velocity
In physics, in particular in special relativity and general relativity, a four-velocity is a four-vector in four-dimensional spacetimeTechnically, the four-vector should be thought of as residing in the tangent space of a point in spacetime, spacetime itself being modeled as a smooth manifold.
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Free fall
In classical mechanics, free fall is any motion of a body where gravity is the only force acting upon it.
General covariance
In theoretical physics, general covariance, also known as diffeomorphism covariance or general invariance, consists of the invariance of the form of physical laws under arbitrary differentiable coordinate transformations.
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General relativity
General relativity, also known as the general theory of relativity and Einstein's theory of gravity, is the geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of gravitation in modern physics. World line and general relativity are theory of relativity.
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Geodesic
In geometry, a geodesic is a curve representing in some sense the shortest path (arc) between two points in a surface, or more generally in a Riemannian manifold.
Gravity
In physics, gravity is a fundamental interaction which causes mutual attraction between all things that have mass.
H2g2
The h2g2 website is a British-based collaborative online encyclopedia project.
Helix
A helix is a shape like a cylindrical coil spring or the thread of a machine screw.
Hermann Minkowski
Hermann Minkowski (22 June 1864 – 12 January 1909) was a mathematician and professor at the University of Königsberg, the University of Zürich, and the University of Göttingen, described variously as German, Polish, or Lithuanian-German, or Russian.
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Hyperbolic orthogonality
In geometry, the relation of hyperbolic orthogonality between two lines separated by the asymptotes of a hyperbola is a concept used in special relativity to define simultaneous events. World line and hyperbolic orthogonality are Minkowski spacetime.
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Inertial frame of reference
In classical physics and special relativity, an inertial frame of reference (also called inertial space, or Galilean reference frame) is a stationary or uniformly moving frame of reference. World line and inertial frame of reference are theory of relativity.
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Isotropic line
In the geometry of quadratic forms, an isotropic line or null line is a line for which the quadratic form applied to the displacement vector between any pair of its points is zero. World line and isotropic line are theory of relativity.
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James Blish
James Benjamin Blish was an American science fiction and fantasy writer.
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John Charles Fields
John Charles Fields, FRS, FRSC (May 14, 1863 – August 9, 1932) was a Canadian mathematician and the founder of the Fields Medal for outstanding achievement in mathematics.
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Kernel (linear algebra)
In mathematics, the kernel of a linear map, also known as the null space or nullspace, is the part of the domain which is mapped to the zero vector of the co-domain; the kernel is always a linear subspace of the domain.
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Life-Line
"Life-Line" is a short story by American author Robert A. Heinlein.
Light cone
In special and general relativity, a light cone (or "null cone") is the path that a flash of light, emanating from a single event (localized to a single point in space and a single moment in time) and traveling in all directions, would take through spacetime. World line and light cone are theory of relativity.
Ludwik Silberstein
Ludwik Silberstein (May 17, 1872 – January 17, 1948) was a Polish-American physicist who helped make special relativity and general relativity staples of university coursework.
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Macmillan Publishers
Macmillan Publishers (occasionally known as the Macmillan Group; formally Macmillan Publishers Ltd in the UK and Macmillan Publishing Group, LLC in the US) is a British publishing company traditionally considered to be one of the 'Big Five' English language publishers (along with Penguin Random House, Hachette, HarperCollins and Simon & Schuster).
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Mages (company)
, formerly, is a Japanese video game developer and record label for video game and anime music.
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Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Methuselah's Children
Methuselah's Children is a science fiction novel by American writer Robert A. Heinlein.
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Metric space
In mathematics, a metric space is a set together with a notion of distance between its elements, usually called points.
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Metric tensor
In the mathematical field of differential geometry, a metric tensor (or simply metric) is an additional structure on a manifold (such as a surface) that allows defining distances and angles, just as the inner product on a Euclidean space allows defining distances and angles there.
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Minkowski space
In physics, Minkowski space (or Minkowski spacetime) is the main mathematical description of spacetime in the absence of gravitation. World line and Minkowski space are Minkowski spacetime.
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Neal Stephenson
Neal Town Stephenson (born October 31, 1959) is an American writer known for his works of speculative fiction.
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Nominalism
In metaphysics, nominalism is the view that universals and abstract objects do not actually exist other than being merely names or labels.
Nuclear Physics (journal)
Nuclear Physics A, Nuclear Physics B, Nuclear Physics B: Proceedings Supplements and discontinued Nuclear Physics are peer-reviewed scientific journals published by Elsevier.
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Orbit
In celestial mechanics, an orbit (also known as orbital revolution) is the curved trajectory of an object such as the trajectory of a planet around a star, or of a natural satellite around a planet, or of an artificial satellite around an object or position in space such as a planet, moon, asteroid, or Lagrange point.
Orthogonal complement
In the mathematical fields of linear algebra and functional analysis, the orthogonal complement of a subspace W of a vector space V equipped with a bilinear form B is the set W^\perpof all vectors in V that are orthogonal to every vector in W. Informally, it is called the perp, short for perpendicular complement.
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Path (topology)
In mathematics, a path in a topological space X is a continuous function from a closed interval into X. Paths play an important role in the fields of topology and mathematical analysis.
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Perception
Perception is the organization, identification, and interpretation of sensory information in order to represent and understand the presented information or environment.
Physical Review
Physical Review is a peer-reviewed scientific journal established in 1893 by Edward Nichols.
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Physical Review Letters
Physical Review Letters (PRL), established in 1958, is a peer-reviewed, scientific journal that is published 52 times per year by the American Physical Society.
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Physics
Physics is the natural science of matter, involving the study of matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force.
Physics Reports
Physics Reports is a peer-reviewed scientific journal, a review section of Physics Letters that has been published by Elsevier since 1971.
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Principle of relativity
In physics, the principle of relativity is the requirement that the equations describing the laws of physics have the same form in all admissible frames of reference. World line and principle of relativity are theory of relativity.
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Proper frame
A proper frame, or comoving frame, is a frame of reference that is attached to an object.
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Proper time
In relativity, proper time (from Latin, meaning own time) along a timelike world line is defined as the time as measured by a clock following that line. World line and proper time are Minkowski spacetime and theory of relativity.
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Real number
In mathematics, a real number is a number that can be used to measure a continuous one-dimensional quantity such as a distance, duration or temperature.
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Relativity of simultaneity
In physics, the relativity of simultaneity is the concept that distant simultaneity – whether two spatially separated events occur at the same time – is not absolute, but depends on the observer's reference frame.
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Retarded potential
In electrodynamics, the retarded potentials are the electromagnetic potentials for the electromagnetic field generated by time-varying electric current or charge distributions in the past.
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Robert A. Heinlein
Robert Anson Heinlein (July 7, 1907 – May 8, 1988) was an American science fiction author, aeronautical engineer, and naval officer.
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Royal Canadian Institute
The Royal Canadian Institute for Science (RCIScience), known also as the Royal Canadian Institute, is a Canadian nonprofit organization dedicated to connecting the public with Canadian science.
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Science Adventure
Science Adventure, also known as SciADV, is a multimedia series consisting of interconnected science fiction stories created by Mages, initially in collaboration with Nitroplus.
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Science fiction
Science fiction (sometimes shortened to SF or sci-fi) is a genre of speculative fiction, which typically deals with imaginative and futuristic concepts such as advanced science and technology, space exploration, time travel, parallel universes, and extraterrestrial life.
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Scientific romance
Scientific romance is an archaic, mainly British term for the genre of fiction now commonly known as science fiction.
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Slaughterhouse-Five
Slaughterhouse-Five, or, The Children's Crusade: A Duty-Dance with Death is a 1969 semi-autobiographic science fiction-infused anti-war novel by Kurt Vonnegut.
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Smoothness
In mathematical analysis, the smoothness of a function is a property measured by the number, called differentiability class, of continuous derivatives it has over its domain.
Space
Space is a three-dimensional continuum containing positions and directions.
Spacetime
In physics, spacetime, also called the space-time continuum, is a mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum. World line and spacetime are theory of relativity.
Spacetime diagram
A spacetime diagram is a graphical illustration of locations in space at various times, especially in the special theory of relativity.
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Special relativity
In physics, the special theory of relativity, or special relativity for short, is a scientific theory of the relationship between space and time. World line and special relativity are theory of relativity.
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Speed of light
The speed of light in vacuum, commonly denoted, is a universal physical constant that is exactly equal to). According to the special theory of relativity, is the upper limit for the speed at which conventional matter or energy (and thus any signal carrying information) can travel through space.
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Steins;Gate
Steins;Gate is a 2009 science fiction visual novel game developed by 5pb. and Nitroplus.
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String theory
In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings.
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Sun
The Sun is the star at the center of the Solar System.
Tangent space
In mathematics, the tangent space of a manifold is a generalization of to curves in two-dimensional space and to surfaces in three-dimensional space in higher dimensions.
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The Quincunx of Time
The Quincunx of Time is a short science fiction novel by American writer James Blish.
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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 natural phenomena.
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Theory of forms
In philosophy and specifically metaphysics, the theory of Forms, theory of Ideas, Platonic idealism, or Platonic realism is a theory widely credited to the Classical Greek philosopher Plato.
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Time geography
Time geography or time-space geography is an evolving transdisciplinary perspective on spatial and temporal processes and events such as social interaction, ecological interaction, social and environmental change, and biographies of individuals.
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Time travel
Time travel is the hypothetical activity of traveling into the past or future.
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Trajectory
A trajectory or flight path is the path that an object with mass in motion follows through space as a function of time.
University of Toronto
The University of Toronto (UToronto or U of T) is a public research university in Toronto, Ontario, Canada, located on the grounds that surround Queen's Park.
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University of Toronto Press
The University of Toronto Press is a Canadian university press.
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Vector space
In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called ''vectors'', can be added together and multiplied ("scaled") by numbers called ''scalars''.
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Visual novel
A visual novel (VN) is a form of digital interactive fiction.
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William Swan Sonnenschein
William Swan Sonnenschein (5 May 1855 – 31 January 1931), known from 1917 as William Swan Stallybrass, was a British publisher, editor and bibliographer.
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Worldsheet
In string theory, a worldsheet is a two-dimensional manifold which describes the embedding of a string in spacetime.
See also
Minkowski spacetime
- De Sitter space
- Electromagnetic tensor
- Four-vector
- Four-vectors
- Hyperbolic orthogonality
- Hyperbolic quaternion
- Hyperboloid model
- Lorentz factor
- Lorentz scalar
- Milne model
- Minkowski space
- Newton polytope
- Proper acceleration
- Proper time
- Proper velocity
- Spacetime algebra
- Squeeze mapping
- World line
Time in science
- Discrete time and continuous time
- Philosophy of time
- Return period
- Time in astronomy
- Time in physics
- World line
References
[1] https://en.wikipedia.org/wiki/World_line
Also known as 4D Trajectory, World lines, World tube, World volume, World-line, Worldline, Worldlines.
, Physical Review, Physical Review Letters, Physics, Physics Reports, Principle of relativity, Proper frame, Proper time, Real number, Relativity of simultaneity, Retarded potential, Robert A. Heinlein, Royal Canadian Institute, Science Adventure, Science fiction, Scientific romance, Slaughterhouse-Five, Smoothness, Space, Spacetime, Spacetime diagram, Special relativity, Speed of light, Steins;Gate, String theory, Sun, Tangent space, The Quincunx of Time, Theoretical physics, Theory of forms, Time geography, Time travel, Trajectory, University of Toronto, University of Toronto Press, Vector space, Visual novel, William Swan Sonnenschein, Worldsheet.