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The particle world line (x = vt) is also the proper time axis of this particle, but
the quantitative use of this axis to indicate proper time (c) requires re-scaling by
the use of a cumbersome hyperbolic calibration curve.
In this mixed space-time view the world line of a photon is
coincident with the x axis, illustrating that in the impossible photon frame, everything
“happens” at once.
This trademark fact of special relativity cries out to be show-cased in any space-
time display as an obvious “Pythagorean” right triangle.