Can a rigid object transmit a signal faster than the speed of light?

In summary: For example, if you were to apply the law of inertia to a system of billiard balls, you would get results that vary depending on how "rigid" the balls are. But in reality, billiard balls are not truly rigid; they deform in response to impacts. So, applying the law of inertia to a billiard table doesn't really give you a good understanding of how the table behaves. It's more useful to use the law of gravity to understand how the balls move around the table.
  • #1
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If I push a rigid object at one end, the whole rod should move instantaneously. Would this mean that a signal has been transmitted from the end which is pushed to the the far end faster than the speed of light?
 
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  • #2
Nope, much slower. It's transmitted at the speed of sound for that material, which makes sense, seeing as sound travels merely by movement (well, vibration) of particles.
 
  • #3
There is no such thing as a perfectly rigid object. The rod will compress when you push it and that compression will travel the length of the rod at the speed of sound for the rod's material (at less than the speed of light), until it reaches the end and uncompresses. Net effect, you push your end, and at sometime later the other end of the rod moves. the time delay between the movement of the ends of the rod will always be longer than it would take for light to traverse the length of the rod.
 
  • #4
I seem to remember something about splitting up pairs of electrons into opposing paths, and how one of them observed at one end affects the other?
 
  • #5
This thread is not about entanglement, and even though the thread topic is broad enough to accommodate that, let's stick to the content in the OP.
 
  • #6
I've seen this "thought experiment" come up on several forums, and it usually generates a lot of argument. I think the problem is that this question doesn't really have an answer, because once you start applying physical laws as restrictions to help you narrow down the possibilities, you have to change the nature of the question. I think it's really designed to get you thinking about what the laws really require of reality, and what the consequences are of the gaps between quantum mechanics and relativity. Not to get an interesting definite answer.

The short answer is that it will take the amount of time required for the eletromagnetic force to transfer your pressure at one end from one atom to the next all the way down the rod. In other words, as someone already stated, the speed of sound is the factor. However, this assumes a certain amount of compressibility at the atomic level. Which means the rod isn't truly rigid. If the rod were perfectly rigid, then the answer to your question would be "yes". However, it would also have no physical significance, as the scenario varies so widely from anything possible in reality. Except maybe a neutron star, which some people think may be regarded as being as close as possible to being incompressible without collapsing to a black hole. It is thought that the speed of pressure waves (and hence sound) through neutron star material is very close to the speed of light.

"Rigid" materials are good for messing around with ideal scenarios of laws which don't deal specifically with phenomena that are pushed to their limits by "rigid" materials.
 
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What is a faster than light signal?

A faster than light signal is a hypothetical signal that travels faster than the speed of light, which is considered the ultimate speed limit in the universe according to the theory of relativity.

Is faster than light travel possible?

According to our current understanding of physics, faster than light travel is not possible. The theory of relativity states that as an object approaches the speed of light, its mass increases infinitely and it would require an infinite amount of energy to accelerate it further.

What would happen if a faster than light signal was sent?

If a faster than light signal was sent, it would violate the principles of causality and time travel. This would lead to paradoxes and contradictions in our understanding of the universe.

Are there any observed instances of faster than light signals?

No, there are no observed instances of faster than light signals. All known signals, including electromagnetic waves and gravitational waves, travel at the speed of light.

What is the current research and theories on faster than light signals?

There is ongoing research and theories on faster than light signals, including the concept of wormholes and the theoretical existence of particles called tachyons that could travel faster than light. However, these theories are not yet proven and remain speculative.

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