Minkowski space-time

E8632

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.

All labels observed (13)

How this entity was disambiguated

Statements (48)

Predicate Object
instanceOf Lorentzian manifold
flat space-time
four-dimensional manifold
mathematical structure
pseudo-Riemannian manifold
space-time model
allows 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 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 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

How these facts were elicited

Referenced by (45)

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

theory of relativity coreConcept Minkowski space-time
Einstein field equations admitsSolution Minkowski spacetime
linked to: Minkowski space-time
Hermann Minkowski knownFor Minkowski spacetime
linked to: Minkowski space-time
Hermann Minkowski knownFor Minkowski diagram
linked to: Minkowski space-time
Hermann Minkowski knownFor Minkowski space
linked to: Minkowski space-time
Hermann Minkowski notableWork Space and Time (Raum und Zeit) 1908 lecture
linked to: Minkowski space-time
Lorentz transformation preserves Minkowski spacetime interval
linked to: Minkowski space-time
relativity of simultaneity relatedTo Minkowski spacetime
linked to: Minkowski space-time
Minkowski space-time hasMetric Minkowski metric
linked to: Minkowski space-time
Newtonian absolute space replacedBy Minkowski spacetime
linked to: Minkowski space-time
Euclidean quantum field theory relatedTo Minkowski quantum field theory
linked to: Minkowski space-time
Dirac equation definedOver Minkowski spacetime
linked to: Minkowski space-time
Hermann Minkowski knownFor Minkowski spacetime
subject linked to: Hermann
linked to: Minkowski space-time
Poincaré group actsOn Minkowski spacetime
linked to: Minkowski space-time
Poincaré group isSymmetryOf Minkowski metric
linked to: Minkowski space-time
Poincaré group definedOn four-dimensional Minkowski space
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Lorentz contraction relatedConcept Minkowski spacetime
linked to: Minkowski space-time
special relativity uses Minkowski spacetime
linked to: Minkowski space-time
Lorentz group actsOn Minkowski spacetime
linked to: Minkowski space-time
Lorentz group preserves Minkowski metric
linked to: Minkowski space-time
Einstein synchronization convention compatibleWith Minkowski spacetime structure
linked to: Minkowski space-time
quantum field theory mathematicallyFormulatedIn Minkowski spacetime
linked to: Minkowski space-time
spacetime manifold generalizes Minkowski spacetime
linked to: Minkowski space-time
Lorentzian geometry hasKeyConcept Minkowski space
linked to: Minkowski space-time
Tomonaga–Schwinger equation domain Minkowski spacetime
linked to: Minkowski space-time
Kerr–Schild coordinates basedOn Minkowski spacetime
linked to: Minkowski space-time
Penrose–Carter diagram appliesTo Minkowski spacetime
subject linked to: Penrose–Carter diagrams
linked to: Minkowski space-time
Klein–Gordon equation definedOn Minkowski spacetime
linked to: Minkowski space-time
Dirac matrices associatedWith Minkowski spacetime
linked to: Minkowski space-time
Dirac Lagrangian definedOn Minkowski spacetime
linked to: Minkowski space-time
Dirac field isDefinedOn Minkowski spacetime
linked to: Minkowski space-time
Spacetime Physics topic Minkowski spacetime
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Spacetime Physics relatedTo Minkowski geometry
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Schwinger–Dyson equations validIn Minkowski space formulation
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Unruh effect relatedTo Minkowski vacuum
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Minkowski diagram relatedConcept Minkowski spacetime
linked to: Minkowski space-time
Minkowski interval definedIn Minkowski spacetime
linked to: Minkowski space-time
Yang–Mills existence and mass gap problem requiresProofIn Minkowski spacetime
linked to: Minkowski space-time
Wightman functions domain Minkowski spacetime
linked to: Minkowski space-time
Wightman correlation functions definedOn Minkowski spacetime
linked to: Minkowski space-time
Wightman axioms assumes Minkowski spacetime structure
linked to: Minkowski space-time
Weyl tensor isZeroIn Minkowski spacetime
linked to: Minkowski space-time
twistor space relatedTo Minkowski space
linked to: Minkowski space-time
Nordström's scalar theory of gravitation uses Minkowski spacetime
linked to: Minkowski space-time
Minkowski metric η_{μν} definedOn Minkowski spacetime
linked to: Minkowski space-time