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.
All labels observed (5)
| Label | Occurrences |
|---|---|
| Lorentz transformations | 19 |
| Lorentz transformation canonical | 6 |
| 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 ⓘ |
Referenced by (28)
Full triples — surface form annotated when it differs from this entity's canonical label.
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Lorentz transformations
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Lorentz transformations
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Lorentz boosts
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Lorentz transformations
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Lorentz transformations
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Lorentz transformations
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Lorentz transformations
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Lorentz transformations
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Lorentz transformations
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Lorentz transformations
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Lorentz–Einstein transformations
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Lorentz factor
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Lorentz transformations
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Lorentz transformations
subject surface form:
Hendrik Lorentz
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Lorentz transformations
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Spacetime Physics
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Lorentz transformations
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Lorentz transformations
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Lorentz transformations
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Lorentz transformations
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Lorentz transformations
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Lorentz transformations
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Lorentz transformations