PHY2061 R. D. Field Department of Physics relativity_2.doc University of Florida Lorentz TransformationConsider two frames of reference the O-frame (label events according to t,x,y,z) and the O'-frame (label events according to t',x',y',z') moving at a constant velocity V, with respect to each other at let the origins coincide at t= t' = 0. The Lorentz transformations tell us how the O and O' frame are related. zzyytcxxxtcct′=′=′+′=′+′=)()(βγβγzzyyctxxxcttc=′=′−=′−=′)()(βγβγzzyytcxxtcct′=′=′+′=′=βwhere 21/1/βγβ−==cV. 4-vector Notation: =
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