Which Would Reach Pluto First: Light or Stick Movement?

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Discussion Overview

The discussion revolves around a thought experiment comparing the time it would take for light to reach Pluto versus the movement of an unbreakable stick. Participants explore concepts of rigidity, information transfer, and the implications of general relativity on the scenario presented.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants argue that John would notice the sun going out first because the stick cannot transfer information faster than the speed of light.
  • One participant notes that there is no such thing as a perfectly rigid stick, suggesting that the stick would deform and that this deformation would propagate at a speed slower than light, potentially at the speed of sound.
  • Another participant questions the use of the speed of sound, proposing that information can be transferred through phonons, which are not necessarily tied to the speed of sound.
  • Some participants clarify that phonons are vibrations and that their speed is indeed related to the speed of sound in the material.
  • There is a mention that in astrophysical contexts, the speed of sound can approach the speed of light, particularly in the collapse of white dwarfs into neutron stars.
  • One participant emphasizes that no stick or string can be infinitely rigid, as this is forbidden by general relativity, and that any movement would involve compressive or tensile waves that cannot exceed the speed of light.
  • Another participant argues against the concept of an unbreakable stick, stating that all materials have finite binding energy and thus cannot be truly unbreakable.

Areas of Agreement / Disagreement

Participants generally agree that the stick cannot transfer information faster than light, but there is disagreement regarding the nature of the stick's rigidity and the implications of phonon behavior. The discussion remains unresolved on several technical points, including the definitions and properties of the stick and the speed of information transfer.

Contextual Notes

Limitations include assumptions about the stick's properties, the definitions of rigidity and unbreakability, and the implications of general relativity on the thought experiment. The discussion does not resolve these complexities.

Stupid_1
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Hi,

Ok, so i posted this on another forum and got a lot of different answers. My main question is:

Imagine this, i am somewhere between the moon and the Earth and my friend John is on Pluto. In my right hand i have an unbreakable stick ( for the sake of argument ) that reached all the way to John, in my left hand i have a light-switch that i could turn off the sun with instantly.

If i were to yank the stick at the same time as i flipped the switch for the sun, what would John notice first, the sun going out or the stick moving?
 
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He would notice the sun going out first. The stick cannot transfer information as fast as the speed of light. If that doesn't make sense to you, consider that there is no such thing as a perfectly rigid stick. The stick would deform, and that deformation would travel at some velocity down the stick slower than the speed of light (Actually, the velocity would probably be the speed of sound within that stick, which would be vastly slower).
 
I see, thanks for the answer.
 
Hi there,

I agree with the answer given, but something confused me.

Matterwave said:
If that doesn't make sense to you, consider that there is no such thing as a perfectly rigid stick.

I thought the question was an unbreakble stick and not a rigid stick. From my understanding, the stick can be deformed, just not broke apart.

Secondly, why the speed of sound? Information can be transferred in solid objects through phonons, which have nothing to do with the speed of sound. But there again, I agree that the transfer velocity would be quite a bit less than the speed of light.

Cheers
 
fatra2 said:
Secondly, why the speed of sound? Information can be transferred in solid objects through phonons, which have nothing to do with the speed of sound.

They actually do. Phonons are vibrations, and the speed of sound is the speed at which vibrations get transmitted through an object.

But there again, I agree that the transfer velocity would be quite a bit less than the speed of light.

Not necessarily, in astrophysical objects, the speed of sound can be close to the speed of light. This is partly what causes white dwarfs to collapse into neutron stars. When the speed of sound gets close to the speed of light, the white dwarf becomes non-rigid and liquifies into a neutron star.
 
There is no such thing as an infinitely rigid stick/string. This is forbidden by GR. A stick/string compresses/stretches before the other end moves. A compression/tensile wave causes the other end to move. That wave can never travel in excess of c.
 
fatra2 said:
Hi there,

I agree with the answer given, but something confused me.



I thought the question was an unbreakble stick and not a rigid stick. From my understanding, the stick can be deformed, just not broke apart.
Okay, so the non-rigid stick answer is still valid.

Secondly, why the speed of sound? Information can be transferred in solid objects through phonons, which have nothing to do with the speed of sound. But there again, I agree that the transfer velocity would be quite a bit less than the speed of light.
Exuse me? Phonon, by definition, travel at the speed of sound in the object.

Cheers
 
There is also no such thing as an unbreakable stick. The binding energy must be finite, and therefore the bonds in the stick must be breakable. There is no such thing in nature that produces an infinite binding energy (maybe a black hole? Not sure about that, but in any case, that's not a stick...).
 

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