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A set with a free transitive action of a vector space, retaining displacement vectors without a preferred origin.
No origin is distinguished; choosing one identifies noncanonically with .
wp-affine_spacenlab-affine_spacetong-relativityEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Forgetting the distinguished zero of a vector space while retaining its translation action yields an affine space; abstractly, an affine space is a torsor for a vector space.
Pass canonically from a stronger object to structure it determines, or forget part of the data while retaining a valid weaker structure. The carrier may change under a canonical induced construction.
wp-vectornlab-vectorstacks-algebra-textwp-affine_spacenlab-affine_spacetong-relativityEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Minkowski spacetime is an affine space modeled on a Lorentzian vector space, not canonically a vector space with preferred origin.
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-affine_spacenlab-affine_spacetong-relativitywp-physics-minkowski_spacetimenlab-physics-minkowski_spacetimeeinstein-spacetime