The formal and operational significance of the choice of clock synchro
nization in relativity is reviewed, along with the historical debate o
ver the associated choice of the one-way speed of light. Kinematic tes
t theories generalising special relativity are recast in a nonstandard
synchronisation. In particular, the Mansouri-Sex1 test-theory is gene
ralised to avoid a conflict between its interpretation and its gauge c
hoice. Corresponding adjustments to the interpretation of recent exper
imental tests of relativity are presented. A test-theory for local Lor
entz invariance is derived for a noninertial observer in a space of ar
bitrary curvature using differential geometric techniques and the Fren
et frame. The Sagnac effect in a ring laser is considered for bounding
the parameters of this theory. (C) 1998 Elsevier Science B.V.