The pole would basically be a space elevator. I suspect gravity and inertia would effectively keep you from moving the stick. Even if you could move it, you'd only be able to move it at a speed that would seem like it's stationary. As such, the light would still be faster.
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That's what he meant by we'll use sticks on the other side
Perfectly rigid sticks don't exist.
If you're openminded enough to listen to those who disagree with the standard model,
take an elastic band and turn one end. Instead of the band turning, you'll have a twist in your band
and it takes time to unravel the twist if you let go on the other end.
That's what will happen to the stick and this travels at lightspeed,
because this is how light works. Light works like 'the stick' in your example.
And if you try turning it faster the 'elastic band'/stick/'atom on the other end' starts breaking.
If you need FTL communication, then use gravity..somehow.
Probably quantum entanglement, which we (and certainly I) donβt fully understand yet
This wouldn't work because the moon is more than 300k km away :P
You're gonna want a powerful laser probably and ain't no stick that big like not even fkn close not even if we tried so that's why would'nt tbqh