Elementary Euclidean space | GENERAL RELATIVITY INT.
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...