ABSTRACT
In the transformation of time between inertial reference frames the coeffi-
cient of the space variable, e1, describes the possible choices of clock syn-
chronization with its different values. In the first part of the paper we review
the proof of a zero acceleration discontinuity for rotating platforms: the
velocity of light relative to inertial reference frames agrees with the zero
acceleration limit of the velocity of light relative to rotating platforms only by
assuming e1 ¼ 0, that is by replacing the Lorentz by the ‘‘inertial’’ transformations based on absolute simultaneity. The second part of the paper
contains the proof that the same discontinuity exists also for linearly accel-
erated reference frames. Absolute simultaneity again provides the cure.
