Keyboard graph navigation: press N for concepts or E for relations; use arrow keys, Home, and End to move; Enter selects; Shift plus Enter selects and centers; plus and minus zoom; zero fits; Escape clears the selection. Use the visible viewport buttons as alternatives to dragging, wheel, and pinch gestures.
Canonical static concept record
Open this concept in the interactive graphRead the Markdown equivalent
The spacetime symmetry combining Lorentz transformations with translations in Minkowski spacetime.
wp-poincare_groupnlab-physics-poincare_symmetrytong-relativitytong-qftEach relation below ends 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.
Poincaré symmetry is mathematically represented by the Poincaré 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-poincare_groupnlab-physics-poincare_symmetrynlab-poincare_groupEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
For a stable one-particle sector, mass is fixed by the Poincaré energy–momentum Casimir; unstable resonances are not exact asymptotic one-particle representations.
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
wp-physics-particle_masspdg-rppwp-poincare_groupnlab-physics-poincare_symmetry