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This is not contrary at all. Galilean transformation just gives the....
usual law for adding velocities.
v'=v-u where u is the velocity of the primed observer as seen by the
unprimed observer -- just the everyday way we mentally transform to a
moving frame. Obviously c (or any velocity) is not invariant to this
transformation. However since u is a constant (for inertial frames),
du/dt = 0, and a'=a. Thus acceleration of moving object is same as seen
by both observers.
This is not controversial in the slightest.Here Jerry seems to use the term acceleration as though it means
J. Epstein