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    • https://phys.libretexts.org/Bookshelves/Relativity/General_Relativity_(Crowell)/02%3A_Geometry_of_Flat_Spacetime/2.09%3A_Three_Spatial_Dimensions_(Part_2)
      where we assume that the square has negligible size, so that all four Lorentz boosts act in a way that preserves the origin of the coordinate systems. (We have no convenient way in our notation L(. . ...where we assume that the square has negligible size, so that all four Lorentz boosts act in a way that preserves the origin of the coordinate systems. (We have no convenient way in our notation L(. . .) to describe a transformation that does not preserve the origin.) The first transformation, L(\(−v \hat{y}\)), changes coordinates measured by the original gyroscope-defined frame to new coordinates measured by the new gyroscope-defined frame, after the box has been accelerated in the positive y …

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