Why would'nt this work?
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Probably quantum entanglement, which we (and certainly I) don’t fully understand yet
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Glass easily bends
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Sound is air vibration
Sound is not exclusive to air, it can be generalized to vibrations in any media. Whale song and dolphin echolocation are certainly sounds, and we're almost always talking about them propagating in water rather than air.
which has to travel from one place to the next
No, that isn't how sound works. In air this would be a description of wind, not sound.
just transfer kinetic energy to the adjacenct atom
This is actually a good description of how sound waves propagate.
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Perfectly rigid sticks don't exist.
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I would liken it to a long freight train starting to move. Once the front starts moving, it will still be a minute before the back starts moving. The space between the train couplings is like the spring effect between atoms, or something.
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You are correct, I should have said there was an atomic clock out the window that the walker looked out at.
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In a "perfectly rigid" stick (a fictional invention), the speed of sound is the speed of light.
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That's a great guess when you try to answer the problem with traditional (Newtonian) physics. However, space and time do not behave in a way we would expect when we go nearly at light speed. So Newtonian laws do not apply in the same sense anymore.
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That's where time dilation will kick in
