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Physicists spooked by faster-than-light information transfer
Device Makes Radio Waves Travel Faster Than Light
I took advanced physics classes.
Originally posted by RestingInPieces
This is touched on in basic physics classes. There exists no perfectly rigid body. Due to the specificity of the sticks elasticity and density, the effect of hitting the stick propagates along the stick at no faster than the speed of light.
Originally posted by Arbitrageur
What part of relativity do you think it violates, or why do you say "flaw in relativity"?
Actually I found it myself:
Originally posted by Arbitrageur
I took advanced physics classes.
Originally posted by RestingInPieces
This is touched on in basic physics classes. There exists no perfectly rigid body. Due to the specificity of the sticks elasticity and density, the effect of hitting the stick propagates along the stick at no faster than the speed of light.
Can you provide a source for this?
So according to that the stick isn't as rigid as we think it is and that's why it doesn't work.
4. Rigid Bodies
If you have a long rigid stick and you hit one end, wouldn't the other end have to move immediately? Would this not provide a means of FTL communication?
Well, it would if there were such things as perfectly rigid bodies. In practice the effect of hitting one end of the stick propagates along it at the speed of sound in the material; this speed depends on the stick's elasticity and density. Relativity places an absolute limit on material rigidity in such a way that the speed of sound in the material will not be greater than c.
The same principle applies if you hold a long string or rod vertically in a gravitational field and let go of the top end. The point at which you let go will start to move immediately, but the lower end cannot move until the effect has propagated down the length at the speed of sound in the material.
It is difficult to formulate a general theory of elastic materials in relativity, but the general principle can be illustrated with newtonian mechanics. The equation for longitudinal motion in an ideal elastic body can be derived from Hooke's law. In terms of the mass per unit length p and Young's modulus of elasticity Y, the longitudinal displacement X satisfies a wave equation (see for example Goldstein's "Classical Mechanics"):
d2X d2X
p --- - Y --- = 0
dt2 dx2
Plane wave solutions travel at the speed of sound s where s2 = Y/p. This wave equation does not allow any causal effect to propagate faster than s. Relativity therefore imposes a limit on elasticity: Y < pc2. In practice, no known material comes anywhere near this limit. Note that even if the speed of sound is near c, the matter does not necessarily move at relativistic speeds. But how can we know that no material can possibly exceed this limit? The answer is that all materials are made of particles whose interaction are governed by the standard model of particle physics, and no influence faster than light can propagate in that model (see the section on Quantum Field Theory below).
So although there is no such thing as a rigid body, there is such a thing as rigid body motion; but this is another example in the same category as the shadows and light spots described above which do not give FTL communication. (See also the FAQ articles The Superluminal Scissors and The Rigid Rotating Disk in Relativity).
Originally posted by Arbitrageur
I took advanced physics classes.
Originally posted by RestingInPieces
This is touched on in basic physics classes. There exists no perfectly rigid body. Due to the specificity of the sticks elasticity and density, the effect of hitting the stick propagates along the stick at no faster than the speed of light.
Can you provide a source for this?
Also I'm not sure you understand what he's saying.
You can move the stick at a very slow speed. But if the stick is long enough information about the movement of the stick can reach the destination faster than light would get there. So say push the end of the stick 1 cm in 1 second and shine a flashlight at the same time as you start pushing the stick. Wouldn't the other end of the stick start moving before the light got there, if the stick is long enough?
(unless you can find a source that says otherwise).
Originally posted by mike_trivisonno
It seems that if you had a really long pencil, like a few light years long, and you pushed one end, you would set up a wave which would travel at the speed of light, down the pencil and arrive at the other end a few light years later, causing the tip to move.
The shorter the pencil, the less noticeable the delay.