Can information travel faster than the speed of light?

No, because the rope is elastic (One reason why a rope cannot be inelastic). It will take more than a year for the sound wave traveling at the speed of sound in the rope to reach ship B.

Hate to argue with the Old Prof( He is good, damn good), but he needs to re-read Fabric of the Cosmos (Chapter 4, Entangling Space, Page 81 - 83) Entangled Quanta cannot be used to send information for though they change together, we have no control over the quantum state of the 2 particles. Thus, no information can be encoded. Special Relativity is safe. Just barely safe. But, safe none the less.

No ... you have to think about what would actually happen to the rope.

If rocket A starts its engines, it pulls on the rope. But what that means on a microscopic level is that the atoms in the rope are forced towards the rocket. Those atoms are chemically bonded to the atoms next to them, so they're now pulled towards the rocket.

What's really doing the pulling is an electromagnetic force - the electrical attraction between atoms as a result of sharing or swapping electrons to form the chemical bonds. What you're actually producing is a wave in the rope. Atoms pull other atoms which pulls the next set of atoms etc. That wave must have a velocity, and unless the rope is a perfectly rigid material, that means the wave must move at less than the speed of light.

So the other end wouldn't move for a year at least! But there are two other aspects that need to be remembered. Firstly, as the wave propagates along the rope it looses energy. And that means it's unlikely with a 1 light year length of rope that rocket B would even feel the tug. The second thing this implies is that the rope must stretch - the displacement of atoms from their original location is large near rocket A and zero somewhere between rocket A and B. This means that the 'degree of stretching' must be high next to rocket A and zero next to rocket B. As rocket A flies off, that stretching increases and the rope will break - not because of the tension between rocket A and B but because of the tension between some point in the rope and rocket A.

the factor does exist as you have defined by way of fact the region the place the two blades meet. So the factor is precis and the two blades are actual. precis is ??? the two blades, why scissors i don't be attentive to, meet at a factor moving alongside their length by way of fact the scissors are closed. The stream of the blades relative to a minimum of one yet another can not exceed the cost of sunshine, in actuality can not equivalent the cost of sunshine. If the blades can not attain the cost of sunshine then the stream of the factor of touch can not.

Conventional wisdom says no. But the quantum world is anything but conventional.

Turns out (don't you just love that phrase) there may be a way to send information faster than light. It involves using an arrangement of entangled quanta. It involves using more than the conventional two quanta in the system. And these additional entangled quanta establish the basis for the information that can be sent.

How the quanta are used and arranged is a bit complex. I've forgotten the details. But Brian Greene in his "The Fabric of the Cosmos" discusses the possibility of using the extended system of entangled quanta to send information FLT. My point is this. Don't rule out the possibility of FLT information exchange as the wild wonderful world of quantum mechanics seems to have its own rules. And we're just scratching the edge of those rules.

einstein had said that speed of light is the cosmic limit nothing can travel faster than light in this cosmos

no this is a complex question but basic science skills will show that the speed of ligt is the fastest.... out of absolutely everything

No