Lorentz transformation

E5001

concept in special relativity coordinate transformation linear transformation mathematical transformation

The Lorentz transformation is a set of equations in special relativity that relate space and time coordinates between two inertial reference frames moving at a constant velocity relative to each other, ensuring the constancy of the speed of light.

Observed surface forms (4)

Surface form	Occurrences
Lorentz transformations	11
Lorentz boosts	1
Lorentz factor	1
Lorentz–Einstein transformations	1

Statements (51)

Predicate	Object
instanceOf	concept in special relativity ⓘ coordinate transformation ⓘ linear transformation ⓘ mathematical transformation ⓘ
actsOn	four-momentum ⓘ four-position ⓘ spacetime four-vectors ⓘ
appliesTo	inertial reference frames ⓘ
associatedWith	Lorentz group ⓘ
assumes	constant relative velocity between frames ⓘ
contradicts	absolute time of Newtonian mechanics ⓘ
dependsOn	speed of light c ⓘ
domain	flat Minkowski spacetime ⓘ
ensures	constancy of the speed of light in all inertial frames ⓘ
field	physics ⓘ relativity theory ⓘ theoretical physics ⓘ
generalizedIn	general relativity via local Lorentz invariance ⓘ
hasSubgroup	Lorentz transformation self-linksurface differs ⓘ surface form: Lorentz boosts orthochronous Lorentz transformations ⓘ proper Lorentz transformations ⓘ spatial rotations ⓘ
historicallyDevelopedBy	Hendrik Lorentz ⓘ
historicallyInterpretedBy	Albert Einstein in special relativity ⓘ
implies	length contraction ⓘ relativity of simultaneity ⓘ time dilation ⓘ velocity addition formula of special relativity ⓘ
includes	Lorentz boost in one spatial dimension ⓘ Lorentz boost in three spatial dimensions ⓘ pure spatial rotations ⓘ
isSubgroupOf	Poincaré group ⓘ
mathematicallyFormulatedAs	4×4 matrix acting on four-vectors ⓘ linear transformation on spacetime coordinates ⓘ
namedAfter	Hendrik Lorentz ⓘ
parameterizedBy	rapidity ⓘ relative velocity between frames ⓘ
partOf	special relativity ⓘ
preserves	Minkowski space-time ⓘ surface form: Minkowski spacetime interval causal structure of spacetime ⓘ speed of light ⓘ
reducesTo	Galilean transformation in the limit of low velocities ⓘ
relates	space coordinates between inertial frames ⓘ time coordinates between inertial frames ⓘ
satisfies	Lorentz invariance of physical laws ⓘ
usedFor	deriving relativistic dynamics ⓘ transforming electric and magnetic field components ⓘ transforming electromagnetic fields between inertial frames ⓘ transforming energy and momentum ⓘ transforming four-current ⓘ transforming wave four-vectors ⓘ