There is no doubt that the whole problem involves the measurement of clock B. The fact of the matter is that there is no science that involves the measure and the observation of the point, at position B. There are many thought experiments which involve the concept of positioning clocks with measurable qualities at distances, but, this has not yet become attainable in reality. Up until this point, positions B are nothing more than distant mirrors from which we can bounce a signal, or light from.

What Steve Waterman is trying to do is establish two simultaneous sets of coordinates, as a single operation. What he is saying is that, at the zero point, t and t', which are representations of point A and point B, will begin with a different set of coordinates, extrapolated from one another, with one set of coordinates not being given preference over the other.

I think Waterman might agree with you, that the emission and reception of light radiation are confused by the conventional thinkers, but his "Galilean Challenge" has nothing to do with light or mirrors. It has only to do with two coordinate systems, within each of which nothing can change position. Therefore, when one coordinate system changes position in relation to the other, the points within it, move with it.

Two systems, when their origins coincide, have all their points within coincide. The origins are then separated by a given amount. All the respective points within each are separated by the same amount. If the origin of one is moved +1, all the points within move +1. If, from the view point of the unmoved coordinate system, the other ordinate move +1, so did all the other points within it.

First grader says:
It has only to do with two coordinate systems, within each of which nothing can change position. Therefore, when one coordinate system changes position in relation to the other, the points within it, move with it.

These two statements seem contradictory. Even so, concepts such as Steve's are mind bending- its OK to stray off- for these are slippery slopes.

The displacement between A and B remains constant. When it changes (the distance between A and B) the coordinates change. This situation becomes automatically complicated. But there are traits that we can identify. For instance, this physics remains on a single line- the logic has nothing to do with triangulation methods. This problem concerns the simple length between point A and B, and how the coordinates change with respect to each extrapolated from some arbitrary zero.

GogoJF stated: "The displacement between A and B remains constant. When it changes (the distance between A and B) the coordinates change. This situation becomes automatically complicated."

First Grader comments: It's not complicated. When the displacement is constant, the clocks run at the same rate. One (the distant) clock's indicated time as seen by the observer will appear to be set to a later time than the clock next to the observer.


If the distant clock is moved, (past tense) it's indicated time will appear to be even later if further away, or earlier if moved closer.

When the distant clock's distance is observed to be changing, the regulation of its "ticks" will change. They will run slower if the distance increases, or they will run faster if the distance decreases.