Lorentz contraction

E31562

Lorentz contraction is the special relativistic effect in which an object’s length along the direction of motion appears shortened to observers in a different inertial frame moving at high relative velocity.

AI illustration

How this image was made

AI-generated illustration of Lorentz contraction

This AI-generated illustration was produced by black-forest-labs/FLUX.2-dev (1024x1024) from a prompt written by openai/gpt-oss-120b from the entity's label + description.

Prompt

Generate an image of Lorentz contraction (Lorentz contraction is the special relativistic effect in which an object’s length along the direction of motion appears shortened to observers in a different inertial frame moving at high relative velocity.)

All labels observed (5)

How this entity was disambiguated

Statements (48)

Predicate Object
instanceOf effect in special relativity ⓘ
physical phenomenon ⓘ
alsoKnownAs Lorentz–FitzGerald contraction ⓘ
linked to: Lorentz contraction

length contraction ⓘ
appliesTo objects moving at relativistic speeds ⓘ
rigid bodies only in idealized sense ⓘ
approximation negligible for v << c ⓘ
conserves spacetime interval ⓘ
contractedLengthMeasuredIn frame where object is moving ⓘ
contrastsWith Galilean invariance of lengths ⓘ
dependsOn relative velocity between inertial frames ⓘ
describes shortening of measured length of an object in direction of motion ⓘ
direction along direction of relative motion only ⓘ
doesNotAffect dimensions perpendicular to direction of motion ⓘ
doesNotImply physical crushing of the object in its own rest frame ⓘ
domain high-velocity (relativistic) regime ⓘ
expressedAs L = L0 / gamma ⓘ
field special relativity ⓘ
frameDependent yes ⓘ
fullyExplainedBy Einstein’s special theory of relativity ⓘ
linked to: special relativity
historicalOrigin FitzGerald–Lorentz hypothesis ⓘ
Lorentz ether theory ⓘ
implies moving rods appear shorter along motion direction ⓘ
isConsequenceOf Lorentz invariance ⓘ
constancy of speed of light ⓘ
postulates of special relativity ⓘ
limitBehavior contraction increases as v approaches c ⓘ
no contraction when v = 0 ⓘ
mathematicalForm L = L0 * sqrt(1 - v^2/c^2) ⓘ
mathematicalTool Lorentz factor gamma = 1/sqrt(1 - v^2/c^2) ⓘ
measurementDependsOn definition of simultaneity in observer’s frame ⓘ
observationalStatus indirectly confirmed in high-energy particle experiments ⓘ
occursIn inertial reference frames ⓘ
parameter c (speed of light in vacuum) ⓘ
v (relative velocity) ⓘ
properLengthMeasuredIn rest frame of the object ⓘ
relatedConcept Lorentz transformation ⓘ
Minkowski spacetime ⓘ
proper length ⓘ
relativity of simultaneity ⓘ
time dilation ⓘ
requires v < c ⓘ
requiresForMeasurement simultaneous determination of endpoints in observer’s frame ⓘ
symbol L for contracted length ⓘ
L0 for proper length ⓘ
usedIn analysis of particle accelerator experiments ⓘ
astrophysical jet modeling ⓘ
relativistic kinematics ⓘ

How these facts were elicited

Referenced by (6)

Full triples — surface form annotated when it differs from this entity's canonical label.

Michelson–Morley experiment → relatedConcept → Lorentz contraction ⓘ
Lorentz contraction → alsoKnownAs → Lorentz–FitzGerald contraction ⓘ
linked to: Lorentz contraction
Lorentz ether theory → explains → FitzGerald–Lorentz contraction hypothesis ⓘ
linked to: Lorentz contraction
George Francis FitzGerald → knownFor → FitzGerald–Lorentz contraction ⓘ
linked to: Lorentz contraction
George Francis FitzGerald → eponymOf → FitzGerald contraction ⓘ
linked to: Lorentz contraction
Ehrenfest paradox → relatedTo → Lorentz contraction ⓘ