Yeah.. I know that for me if RoS is measurable is irrelevant. But i don't know why it is not measurable. That's all.. So don't i have the right to understand that?
RoS is a comparrison of measurements made of two events, from two inertial frames. One at rest relative to the events and one in uniform motion relative to the events.
One argument against tests or measurements requires synchronized clocks, which has been pointed out, depends on an assumption that OWLS is constant.., an untestable assumption at this time. Since OWLS is untestable, the validity of synchronization of spacially separated clocks, is also untestable.
Even if one were to overcome the clock issue, the second part of RoS involves the measurement of distance, in both frames. Distance measurements, like the tick rates of clocks, are relative to the frame of rest they are attached to. There is no way to physically measure the distances in the rest frame, where the events take place, from a frame which is moving relative to that frame.
Two events which are simutaneous are very much like proper lengths and times associated with a rest frame relative to those measurements... They cannot be directly measured from any frame which is in motion relative to the rest frame, because the clocks and rulers of the moving frame do not agree with the clocks and rulers of the rest frame.
Events which are simutaneous in a frame at rest relative to the events, will generally be measured as not simultaneous from a frame of reference moving with respect to the rest frame of the simultaneous events.
This always leads the comparrison of measurements back to, "
as judged" from the moving frame rather than, "
as measured" from the moving frame. Measurements that can be made from the two frames will not agree, which leads to RoS.
Attempting to use Lorentz Transfromations to solve the problem, while it does provide a theoretical conclusion, does not represent a measurement.., thus RoS is not measurable...