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Invariance or covariance under Lorentz transformations preserving the Minkowski metric.
wp-physics-lorentz_symmetrynlab-lorentz_groupeinstein-special-relativitytong-relativityEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Lorentz symmetry is mathematically represented by the Lorentz group.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
wp-physics-lorentz_symmetrynlab-lorentz_groupwp-lorentz_groupEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
For a fixed Minkowski spacetime, Poincaré symmetry is the semidirect product of spacetime translations with Lorentz symmetry.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
wp-poincare_groupnlab-physics-poincare_symmetrywp-physics-lorentz_symmetrynlab-lorentz_groupThis is an authored directed relation from the source endpoint to the target endpoint.
Lorentz symmetry is the defining spacetime symmetry of special relativity.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
wp-physics-lorentz_symmetrywp-physics-special_relativity