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.

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All labels observed (5)

Label	Occurrences
Lorentz transformations	24
Lorentz transformation canonical	6
Lorentz boosts	1
Lorentz factor	1
Lorentz–Einstein transformations	1

How this entity was disambiguated

This entity first appeared as the object of triple T80101 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07

Target entity: Lorentz transformation
Context triple: [On the Electrodynamics of Moving Bodies, relatedTo, Lorentz transformation]

A. theory of relativity
The theory of relativity is a fundamental framework in physics, developed by Albert Einstein, that revolutionized our understanding of space, time, gravity, and motion.
B. On the Electrodynamics of Moving Bodies
"On the Electrodynamics of Moving Bodies" is Albert Einstein’s 1905 paper that introduced the special theory of relativity, fundamentally redefining concepts of space, time, and motion in physics.
C. Einstein field equations
The Einstein field equations are the core mathematical framework of general relativity, relating the curvature of spacetime to the distribution of matter and energy.
D. Does the Inertia of a Body Depend Upon Its Energy Content?
"Does the Inertia of a Body Depend Upon Its Energy Content?" is Albert Einstein’s 1905 paper that first articulated the mass–energy equivalence principle, commonly expressed as E = mc².
E. Feynman diagrams
Feynman diagrams are graphical representations used in quantum field theory to visualize and calculate particle interactions and processes.
F. None of above. chosen
G. Unsure - the case is ambiguous/there is not enough information to decide.

NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07

Target entity: Lorentz transformation
Target entity description: 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.

A. theory of relativity
The theory of relativity is a fundamental framework in physics, developed by Albert Einstein, that revolutionized our understanding of space, time, gravity, and motion.
B. On the Electrodynamics of Moving Bodies
"On the Electrodynamics of Moving Bodies" is Albert Einstein’s 1905 paper that introduced the special theory of relativity, fundamentally redefining concepts of space, time, and motion in physics.
C. Einstein field equations
The Einstein field equations are the core mathematical framework of general relativity, relating the curvature of spacetime to the distribution of matter and energy.
D. Does the Inertia of a Body Depend Upon Its Energy Content?
"Does the Inertia of a Body Depend Upon Its Energy Content?" is Albert Einstein’s 1905 paper that first articulated the mass–energy equivalence principle, commonly expressed as E = mc².
E. Feynman diagrams
Feynman diagrams are graphical representations used in quantum field theory to visualize and calculate particle interactions and processes.
F. None of above. chosen

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 boosts ⓘ linked to: Lorentz transformation 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 spacetime interval ⓘ linked to: Minkowski space-time 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 ⓘ