Space-time intervals corresponding to different events on the worldline of
any ponderable object (for example a clock) are time-like. In consequence, in
the analysis of any space-time experiment involving clocks only the region for
between the line and the light cone projection
of the versus Minkowski plot is
physically relevant. This breaks the manifest space-time symmetry of the plot.
A further consequence is the unphysical nature of the relativity of simultaneity' and length contraction’ effects of conventional special
relativity theory. The only modification of space-time transformation laws in
passing from Galilean to special relativity is then the replacement of
universal Newtonian time by a universal (position independent) time dilation
effect for moving clocks.

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