Linked from

The 39 pages that link to Lorentz transformation, each with the reason it gives.

• Special relativityRelated: It converts between frames while preserving the invariant speed of light.

• Frame of referenceBroader topic: It replaces Galilean transformations when the speed of light must remain invariant.

• Hendrik LorentzBroader topic: Lorentz derived transformations that preserved Maxwell’s equations for moving observers.

• SpacetimeRelated: It preserves the spacetime interval across changes of inertial frame.

• Michelson–Morley experimentRelated: Lorentz developed these transformations while addressing electrodynamics and the ether-drift problem.

• Light coneRelated: It changes coordinates while leaving the light cone's causal boundaries intact.

• Minkowski spacetimeRelated: It relates different observers' coordinates without changing spacetime geometry.

• Galilean transformationCompared with: It mixes space and time rather than preserving a universal time coordinate.

• Spacetime intervalRelated: It changes event coordinates while leaving their interval unchanged.

• Four-momentumRelated: It mixes four-momentum’s energy and spatial components when changing inertial frames.

• Doppler beamingNarrower topic: It supplies the frame transformations behind the frequency and angular changes.

• Relativity of simultaneityRelated: Its time equation mixes position with time, producing frame-dependent simultaneity.

• Invariant massRelated: It changes energy and momentum components while preserving their four-vector norm.

• Hyperbolic functionsRelated: Its boost coefficients can be written as hyperbolic cosine and sine of rapidity.

• Event (relativity)Related: It converts the coordinates assigned to the same event by different inertial observers.

• Lorentz ether theoryRelated: The transformations encode how ether theory links moving measurements to its preferred frame.

• Lorentz factorRelated: Its time and space equations contain γ, converting relative motion into coordinate changes.

• WorldlineRelated: It changes coordinate descriptions of a worldline without changing its physical identity.

• Electromagnetic field tensorRelated: It specifies how the electromagnetic field tensor changes between inertial frames.

• Relativistic momentumRelated: Momentum must transform consistently under these changes of frame.

• Four-vectorRelated: It specifies how four-vector components change between inertial observers.

• Length contractionRelated: Its transformation of spatial coordinates produces the change in measured length.

• Luminiferous aetherRelated: Its role in aether models helped lead to the relativistic account of moving observers.

• Principle of relativityRelated: It preserves the laws of special relativity, including the invariant speed of light.

• Twin paradoxRelated: It explains how each inertial observer assigns time and simultaneity to distant events.

• Lorentz covarianceRelated: These transformations define the frame changes under which covariant equations preserve their form.

• Lorentz groupBroader topic: Each group element acts on spacetime as a Lorentz transformation.

• Relativistic Doppler effectRelated: Transforming the wave’s phase between frames yields the relativistic frequency shift.

• Energy–momentum relationRelated: It changes energy and momentum while preserving the relation’s mass term.

• Spacetime diagramRelated: It explains how changing frames tilts the axes without changing light speed.

• Electromagnetic four-potentialRelated: It specifies how the four-potential's components mix between inertial frames.

• Poincaré groupBroader topic: Each Poincaré transformation pairs one such map with a translation.

• Relativistic mechanicsRelated: It converts positions and times between the frames used to describe relativistic motion.

• History of special relativityRelated: Einstein gave these transformations a direct physical interpretation without requiring an observable ether.

• Theory of relativityRelated: It converts measurements between observers while preserving light's invariant speed.

• Galilean invarianceCompared with: Unlike a Galilean transformation, it mixes space and time.

• Hyperbolic angleRelated: In one spatial dimension, rapidity is a hyperbolic angle parameterizing Lorentz boosts.

• Ladder paradoxNarrower topic: It converts the door-closing events between the garage and ladder frames.

• RelativityRelated: It converts measurements between observers while preserving the speed of light.