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RossBlenkinsop said:as explained before there is a train in a large building, 2 light clocks in the large building (LB) to, 1 in the train the other at rest wrt the building
the building and everything in it is whizzing thru space at some velocity V in some direction Vthere is a strobe light in the roof
the train heads off along the tracks. Purely by chance the tracks are parallel to the direction of travel of the LB
The train heads off and attains a steady velocity. Purely by chance the velocity of the train is exactly the same as that of the LB , but in the opposite direction
we end up with the situation as depicted.
Purely by chance the strobe light in the roof strobes at the instant the train is directly below the light
once a photon enters a light tube it is reflected up and down
an observer in the frame will see the train whizzing away from them and the light clock in the train will be perceived by the observer to be ticking slower than the clock at rest wrt the observer
as before pulses are sent back along the train lines
will the train line pulses tick faster than the clock at rest wrt the observer
I have drawn the successive events one under another
I think a large problem is that you seem to think that "the building and everything in it is whizzing thru space at some velocity V in some direction V", has meaning in a absolute sense; that there is an absolute state of rest that the building can be said moving with respect to. This is not the case. There is no absolute space against which we can measure motion. We can only measure velocity differences between frames of reference.
So, if we assume that we have three light clocks, A B and C, Instead of a large building we will use a long railway car with a flat bed. On this railway car is an automobile. Clock A is affixed to the tracks. Clock B is affixed to the railway car, and clock C is affixed to the automobile.
The railway car is moving right at v relative to the tracks, and the automobile is moving as v to the right as measured from the railway car.
Ergo, Clocks A and C are at rest with respect to each other.
As measured from the tracks, Clocks A and C run at the same rate and clock B runs slow.
As measured from the automobile, Clocks A and C run at the same rate and clock B runs slow.
As measured from the Railway car, Clocks A and C run at the same rate, but run slower than Clock B.