Minkowski space-time

E8632

Lorentzian manifold flat space-time four-dimensional manifold mathematical structure pseudo-Riemannian manifold space-time model

Minkowski space-time is a four-dimensional geometric framework that unifies three-dimensional space and time into a single continuum used to describe events and motion in special relativity.

Jump to: Surface forms Statements Referenced by

Observed surface forms (9)

Surface form	Occurrences
Minkowski spacetime	15
Minkowski metric	3
Minkowski space	2
Minkowski diagram	1
Minkowski quantum field theory	1
Minkowski spacetime interval	1
Minkowski spacetime structure	1
Space and Time (Raum und Zeit) 1908 lecture	1
four-dimensional Minkowski space	1

Statements (48)

Predicate	Object
instanceOf	Lorentzian manifold ⓘ flat space-time ⓘ four-dimensional manifold ⓘ mathematical structure ⓘ pseudo-Riemannian manifold ⓘ space-time model ⓘ
allows	Lorentz transformation ⓘ surface form: Lorentz transformations
contains	events ⓘ worldlines ⓘ
coordinateNotation	(t,x,y,z) ⓘ (x^0,x^1,x^2,x^3) ⓘ
coordinateSystem	inertial coordinates ⓘ
curvature	zero ⓘ
describes	events ⓘ motion ⓘ
feature	causal structure ⓘ light cone structure ⓘ null intervals ⓘ space-like intervals ⓘ time-like intervals ⓘ
hasComponent	three-dimensional space ⓘ time ⓘ
hasDimension	4 ⓘ
hasMetric	Minkowski space-time self-linksurface differs ⓘ surface form: Minkowski metric
hasSignature	(+,-,-,-) ⓘ (-,+,+,+) ⓘ
hasSubgroup	Lorentz group ⓘ
hasSymmetryGroup	Poincaré group ⓘ
hasTopology	R^4 ⓘ
implies	length contraction ⓘ relativity of simultaneity ⓘ time dilation ⓘ
introducedInContext	geometrization of special relativity ⓘ
invariantInterval	s^2 = -c^2 t^2 + x^2 + y^2 + z^2 ⓘ s^2 = c^2 t^2 - x^2 - y^2 - z^2 ⓘ
invariantQuantity	space-time interval ⓘ
isLimitOf	curved space-times in general relativity ⓘ
metricTensorComponent	diag(-1,1,1,1) ⓘ diag(1,-1,-1,-1) ⓘ
namedAfter	Hermann Minkowski ⓘ
replaces	Newtonian absolute space ⓘ surface form: Newtonian absolute space and time
speedLimit	speed of light c ⓘ
underlies	quantum field theory in flat space ⓘ relativistic field theory ⓘ
usedFor	description of free particles in special relativity ⓘ formulation of Maxwell's equations in covariant form ⓘ
usedInTheory	special relativity ⓘ
yearProposed	1908 ⓘ

Referenced by (27)

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

Lorentz group → actsOn → Minkowski space-time ⓘ

this entity surface form: Minkowski spacetime

Poincaré group → actsOn → Minkowski space-time ⓘ

this entity surface form: Minkowski spacetime

Einstein field equations → admitsSolution → Minkowski space-time ⓘ

this entity surface form: Minkowski spacetime

Penrose–Carter diagrams → appliesTo → Minkowski space-time ⓘ

subject surface form: Penrose–Carter diagram

this entity surface form: Minkowski spacetime

Kerr–Schild coordinates → basedOn → Minkowski space-time ⓘ

this entity surface form: Minkowski spacetime

Einstein synchronization convention → compatibleWith → Minkowski space-time ⓘ

this entity surface form: Minkowski spacetime structure

theory of relativity → coreConcept → Minkowski space-time ⓘ

Poincaré group → definedOn → Minkowski space-time ⓘ

this entity surface form: four-dimensional Minkowski space

Dirac equation → definedOver → Minkowski space-time ⓘ

this entity surface form: Minkowski spacetime

Tomonaga–Schwinger equation → domain → Minkowski space-time ⓘ

this entity surface form: Minkowski spacetime

spacetime manifold → generalizes → Minkowski space-time ⓘ

this entity surface form: Minkowski spacetime

Lorentzian geometry → hasKeyConcept → Minkowski space-time ⓘ

this entity surface form: Minkowski space

Minkowski space-time → hasMetric → Minkowski space-time self-linksurface differs ⓘ

this entity surface form: Minkowski metric

Poincaré group → isSymmetryOf → Minkowski space-time ⓘ

this entity surface form: Minkowski metric

Hermann Minkowski → knownFor → Minkowski space-time ⓘ

this entity surface form: Minkowski spacetime

Hermann Minkowski → knownFor → Minkowski space-time ⓘ

this entity surface form: Minkowski diagram

Hermann Minkowski → knownFor → Minkowski space-time ⓘ

this entity surface form: Minkowski space

Hermann → knownFor → Minkowski space-time ⓘ

subject surface form: Hermann Minkowski

this entity surface form: Minkowski spacetime

quantum field theory → mathematicallyFormulatedIn → Minkowski space-time ⓘ

this entity surface form: Minkowski spacetime

Hermann Minkowski → notableWork → Minkowski space-time ⓘ

this entity surface form: Space and Time (Raum und Zeit) 1908 lecture

Lorentz group → preserves → Minkowski space-time ⓘ

this entity surface form: Minkowski metric

Lorentz transformation → preserves → Minkowski space-time ⓘ

this entity surface form: Minkowski spacetime interval

Lorentz contraction → relatedConcept → Minkowski space-time ⓘ

this entity surface form: Minkowski spacetime

Euclidean quantum field theory → relatedTo → Minkowski space-time ⓘ

this entity surface form: Minkowski quantum field theory

relativity of simultaneity → relatedTo → Minkowski space-time ⓘ

this entity surface form: Minkowski spacetime

Newtonian absolute space → replacedBy → Minkowski space-time ⓘ

this entity surface form: Minkowski spacetime

special relativity → uses → Minkowski space-time ⓘ

this entity surface form: Minkowski spacetime