- #36
kurros
- 453
- 15
PeterDonis said:No, you're not. If a rope is suspended on Earth, its point of suspension has nonzero proper acceleration whether the rope and the mass are present or not. It is that outside source of proper acceleration that provides the force which suspends the mass, and against which work is done if the mass is allowed to descend. But in the scenario we're discussing, in the absence of the thread, both "points of suspension"--the two galaxies--have zero proper acceleration. The only possible source of proper acceleration is the thread itself.
But there *is* a thread, and it is pulling the masses off their geodesics, both in the Earth and dark energy examples. I don't see any difference except for the direction of "falling".
So what you should be imagining as an analogy is a huge spaceship floating in free fall, and two masses connected by a thread floating inside the ship. If the ship is subject to a constant tidal gravity (for example, if it's in a circular orbit about a planet and is large enough for the planet's field to vary detectably inside the ship), what will be the equilibrium state of the two masses and the thread?
There will be tension, and you should be able to do work with it. It seems the same. It could do so much work that it rips the ship apart, in the extreme case. (edit: and dark energy could rip you apart too, if the cosmological constant was really huge. So it seems like it *can* do work. Of course you could never form in the first place with a huge cosmological constant, but if someone did the work needed to put you together in such a universe then dark energy could certainly then use that stored energy to rip you apart again).
Last edited: