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Elementary Euclidean space | GENERAL RELATIVITY INT.

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Minkowski space is closely associated with  Einstein's  theory of  special relativity  and is the most common mathematical structure on which special relativity is formulated. While the individual components in Euclidean space and time may differ due to  length contraction  and  time dilation , in Minkowski spacetime, all frames of reference will agree on the total distance in spacetime between events. Because it treats time differently than it treats the 3 spatial dimensions, Minkowski space differs from  four-dimensional Euclidean space . In 3-dimensional Euclidean space (e.g. simply  space  in  Galilean relativity ), the  isometry group  (the maps preserving the regular  Euclidean distance ) is the  Euclidean group . It is generated by  rotations ,  reflections  and  translations . When time is amended as a fourth dimension, the further transformations of translations in time and Galilean b...