up:: Galilean Space
A map between galilean spaces
- it is an Affine Isomorphism with underlying linear isomorphism
, such that preserves time: - Note that any two points
which are Simultaneous Events (i.e. ) are also simultaneous in , since $$
\overrightarrow{PQ} \in \ker(t) \implies t(\overrightarrow{PQ}) = t’(L(\overrightarrow{PQ})) \implies L(\overrightarrow{PQ}) \in \ker(t’)
- Note that any two points
preserves the inner product for Simultaneous Events in (i.e. for all ): for any