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Two Lorentz transformations are carried out in succession: 1 along the x-axis and then 2 along the y-axis. Show that the resultant transformation (given by

  1. Two Lorentz transformations are carried out in succession:1along the x-axis and then 2along the y-axis. Show that the resultant transformation (given by the product of these two successive transformation) cannot be put in the form of a single Lorentz transformation. Note: the discrepancy corresponds to a rotation so that pure Lorentz transformations do not form a group.

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