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Everything about Four-vector
Vector in relativity
In special relativity, a four-vector is an element of a four-dimensional vector space object with four components, which transform under Lorentz transformations with respect to a change of basis. Its magnitude is determined by an indefinite quadratic form, the preservation of which defines the Lorentz transformations, which include spatial rotations and boosts. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Four-vectorA 5-minute orientation
- Skim a recent paper: Three-Dimensional Space Vector Modulation for Four-Leg Current-Source InvertersInfluential work since 2022
- Pick up a classic book: Modern GeometryThe most-reprinted book on the subject
- Read the landmark paper: Four new derivatives of the broad-host-range cloning vector pBBR1MCS, carrying different antibiotic-resistance cassettesCited 3,130 times
- Go sideways: Four-gradientA closely related topic
- Go sideways: Four-velocityA closely related topic
📖 Definitions
Noun A vector in four-dimensional vector space, especially one having three spatial dimensions and one temporal dimension.
🏆 Landmark papers (most cited)
Four new derivatives of the broad-host-range cloning vector pBBR1MCS, carrying different antibiotic-resistance cassettes
On a four parameter family of planar vector fields
Stokes parameters as a Minkowskian four-vector
Four vector intelligent metaheuristic for data optimization
Spinor and vector representations in four-dimensional Grassmann space
On four subspaces of a vector space
Four-loop perturbative expansion for the lattice N-vector model
Vector particles tunneling from four-dimensional Schwarzschild black holes
🆕 Influential since 2022
Three-Dimensional Space Vector Modulation for Four-Leg Current-Source Inverters
Prediction of energy consumption in four sectors using support vector regression optimized with genetic algorithm
Coupled nonlinear Schrödinger system: role of four-wave mixing effect on nondegenerate vector solitons
Harnessing hybrid intelligence: Four vector metaheuristic and differential evolution for optimized photovoltaic parameter extraction
Hybrid Four Vector Intelligent Metaheuristic with Differential Evolution for Structural Single-Objective Engineering Optimization
📚 Books worth reading
- 📕Modern GeometryVicente Munoz, Ivan Smith · 2018
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Four-gradient In differential geometry, the four-gradient (or 4-gradient) 𝝏 is the four-vector analogue of the gradient 𝜵→ from vector calculus. In special relativity…
- Four-velocity In physics, in particular in special relativity and general relativity, a four-velocity is a four-vector in four-dimensional spacetime that represents…
- Four-momentum In special relativity, four-momentum (also called momentum–energy or momenergy) is the generalization of the classical three-dimensional momentum to four-dimens…
- Minkowski spacetime In physics, Minkowski spacetime (or Minkowski space; /mɪŋˈkɔːfski, -ˈkɒf-/) is the main mathematical description of spacetime in the absence of gravitation…
- Lorentz transformation In physics, the Lorentz transformations are a six-parameter family of linear transformations from a coordinate frame in spacetime to another frame that…
- Four-acceleration In the theory of relativity, four-acceleration is a four-vector (vector in four-dimensional spacetime) that is analogous to classical acceleration (a three-dime…
- Covariant formulation of classical electromagnetism The covariant formulation of classical electromagnetism refers to ways of writing the laws of classical electromagnetism (in particular, Maxwell's equations…
- Electromagnetic four-potential An electromagnetic four-potential is a relativistic vector function from which the electromagnetic field can be derived. It combines both an electric scalar…