Astrokiwi 1 points 2h ago
This is actually an example of a very classic thought experiment used in courses on relativity.
The core issue in these thought experiments is that they assume that the rod is perfectly rigid - when you push one end of the rod, the other end moves instantly. However, this in itself would count as faster-than-light motion!
What actually happens is that there is no such thing as a perfectly rigid rod - instead, when you push one end of the rod, you just push the molecules you are touching. Those molecules bump into adjacent molecules and push them too, and those push the next molecules, and so on and so on up the rod. You have a pulse or wave of momentum that travels along the rod at a finite speed until the far end of the rod eventually gets pushed. This turns out to be way slower than the speed of light - it's actually the speed of *sound* within that rod.
So you press a button, which fires the laser, and also pushes the rod in order to press the button that starts the clock. The clock has a laser receiver, and stops counting once it receives the laser pulse. The order of events is then:
1. The button is pushed, the laser is launched, the rod is pushed
2. The laser beam is received by the clock's detector, which hasn't started yet. The "pulse" of "push" is still moving along the rod
3. The rod pushes the other button, starting the clock.
This is the common thing to look out for in anything that appears to get around the rules of relativity, travel through time or whatever - usually there's a hidden way that they're breaking the speed of light, such as assuming a perfectly rigid rod or disc.