WikiCards · Card list · Science cards · Four-vector
Uncommon card · Science
Four-vector, an Uncommon card
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.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 76
- DEF
- 52
- Power
- 128
- Wikipedia reads a year
- 32,000
Power 128 (ATK + DEF): stronger than 65 % of WikiCards cards.
The facts on the card
The card carries these facts from its Wikipedia article.
- Its magnitude is determined by an indefinite quadratic form, the preservation of which defines the Lorentz transformations, which include spatial rotations and boosts.
- Four-vectors describe, for instance, position xμ in spacetime modeled as Minkowski space, a particle's four-momentum pμ, the amplitude of the electromagnetic four-potential Aμ at a point x in spacetime, and the elements of the subspace spanned by the gamma matrices inside the Dirac algebra.
- The Lorentz group may be represented by a set of 4 × 4 matrices Λ. The action of a Lorentz transformation on a general contravariant four-vector X, regarded as a column vector with Cartesian coordinates with respect to an inertial frame in the entries, is given by X ′ = Λ X, where the components of the primed object refer to the new frame.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Four-vector article was read about 32,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 76 and blocks with 52: each hit it takes is cut by 21 %.
How to get Four-vector
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Credits
Text : Wikipedia, Four-vector (revision), CC BY-SA 4.0. Photo : NASA, Public domain, Wikimedia Commons.

