Can a Strong Cable Connect Planets Faster Than the Speed of Light?

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Discussion Overview

The discussion revolves around the hypothetical scenario of connecting two planets with a strong cable and the implications of such a connection on the transmission of force across vast distances, specifically whether a tug on the cable would be felt instantly by beings on the other planet, which is one thousand light years away. The conversation touches on concepts from special relativity, elasticity, and the nature of wave propagation in materials.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants assert that the assumption of a rigid cable is flawed, as nothing is perfectly rigid in special relativity, suggesting that the cable should be considered elastic.
  • One participant calculates the wave propagation speed in an elastic cable using the modulus of elasticity and linear density, indicating it would be significantly lower than the speed of light.
  • Another participant emphasizes that the propagation of the tug on the cable occurs at a finite speed, akin to the speed of sound, and not instantaneously.
  • There is a distinction made between the immediate feeling of the tug and the visual perception of it, with some arguing that causation cannot occur faster than light.
  • One participant expresses surprise at the concept of elasticity in materials like rocks, indicating a lack of prior knowledge on the subject.

Areas of Agreement / Disagreement

Participants generally agree that the cable cannot be considered rigid and that the tug would not be felt instantaneously. However, there is no consensus on the implications of this scenario or the nature of causation in relation to the speed of light.

Contextual Notes

The discussion includes assumptions about the nature of materials and the propagation of forces that may not be universally accepted or fully explored. There are also unresolved questions regarding the implications of these assumptions on physical reality.

Who May Find This Useful

This discussion may be of interest to those exploring concepts in physics, particularly in relation to relativity, wave propagation, and material properties.

physicskid
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My friends had asked me a question which I thought was rather troubling and provoking. The problem is that is actually seems to violate the law that states that nothing travels faster than the speed of light. Their question was:

Suppose two planets (planet A and planet B) which are one thousand light years apart to be connected with a strong cable. Then the living beings on planet A tugs at the end of the cable. Now the problem is: Would the life forms on planet B, which is the other side of the cable, feel the pull instantly even when the two planets are a thousand light years apart?
 
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physicskid said:
My friends had asked me a question which I thought was rather troubling and provoking. The problem is that is actually seems to violate the law that states that nothing travels faster than the speed of light. Their question was:

Suppose two planets (planet A and planet B) which are one thousand light years apart to be connected with a strong cable. Then the living beings on planet A tugs at the end of the cable. Now the problem is: Would the life forms on planet B, which is the other side of the cable, feel the pull instantly even when the two planets are a thousand light years apart?

No. You're assuming that the cable is rigid. In special relativity nothing is rigid. Think of the cable as an elastic band. The tug on the cable propagates down the length of the cable at a finite speed which is always less than the speed of light.

Pete
 
The cable is indeed elastic and if the elasticity modulus is E in Newton (kg*m/s²), and the linear density Lambda (kg/m), the wave propagation speed isequal to:

c = sqrt(E/Lambda)

Which will be quite a bit lower than the lightspeed. Typically in the order of several hundred to thousand meters per second.
 
pmb_phy said:
The tug on the cable propagates down the length of the cable at a finite speed...
A.K.A "the speed of sound."

Relativity or not, there is no such thing as a perfectly rigid substance (yes, even a rock has elasticity).

Whether it was set up on purpose or not, this is a common trap people fall into where they try to evaluate the implications for physical reality of something that can't be physically real. Ie, start with impossible assumptions and you can draw any conclusions you want.
 
also you are saying that the tug would be felt immediately - not that they would see it immediately - this has nothing to do with light speed
 
europium said:
also you are saying that the tug would be felt immediately - not that they would see it immediately - this has nothing to do with light speed


It isn't just seeing. Although we talk about "the speed of light" and that one inertial frame "sees" the dilation in the other, it is really causation that can not be communicated faster than light. Faster than c that is, where c is the conversion factor between time and space (so many length units for each time unit).
 
What? Even a rock is elastic? Hell, I did not know that.

Anyway, thanks for everyone's replies so that I am now able to prove to my friend who is the real physics expert!
 
physicskid said:
What? Even a rock is elastic?
If rock wouldn't be elastic, how do you think you would get earthquake waves?
 

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