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I think my example with 3-velocity serves its purpose, but Bob Sciamanda's example with energy E
and momentum P does it much better, because the pseudo-Pythagorean theorem
E^2 - p^2c^2 = Eo^2 (1)
with the rest energy Eo in the energy-momentum space directly echoes the theorem
c^2t^2 - r^2 = c^2to^2 (2)
with the proper time "to" of a clock in Minkowski's space. If, according to John, only "to" has
the status of real physical time, then, by the same logics, only "Eo" must have the satus of the
object's actual energy. Then no references to quaternions or Clifford algebra can save us from
the conclusion that there is no such thing as relativistic energy E and momentum p, and therefore
motion is merely an illusion.