As has become apparent in the derivation of the Lorentz transformation, some considerations are facilitated with diagrams in which space and time coordinates are plotted simultaneously. In subsequent investigations of the physical consequences of the Lorentz transformation such diagrams will become indispensable. In particular, the demonstration that some of the apparently paradoxical implications of Special Relativity are actually free from contradiction will be simple to see with space-time diagrams. Their disadvantage is that they are transparent only upon restriction to one space dimension (especially when hand-drawn), so that for practical applications, where almost always all three space dimensions are important and numerical results are being called for, other techniques have to be developed as well (chap. 3). However, it will suffice for the basic questions to be treated in this chapter up to sect. 9 to restrict to one space dimension (coordinate x == Xl) and time t.
KeywordsLight Cone Lorentz Transformation World Line Clock Synchronization Inertial System
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