Excellent explanation, thanks. This is the kind of stuff my friends and I talk about sitting aound a campfire late at night…
That’s correct on both counts (though we really are getting pretty close to direct detection-- Perhaps 2-5 years away). But light is much more limited than “can’t see past the Big Bang”, due to the opacity of the early Universe. With gravitational waves (in the right wavelength band and with enough sensitivity, which will probably take 30 or 40 years), we should be able to see clear back to the end of Inflation.
So does this mean that if two space craft each raced away from each other in opposite directions at 0.5c the distance between them would be growing at a tiny tiny tiny bit faster than the speed of light?
It depends on the reference frame. If I’m standing on a planet watching two spacecraft heading off in opposite direction at 0.6c, then from my perspective they’re moving apart at greater than the speed of light. However, from the point of view of an observer on either spaceship, the gap between them is growing at less than the speed of light.
It seems to me that from the point of view of an observer on a planet between them, they would each be travelling away from the planet at 0.6c, and this distance between them would be increasing at 1.2c (though neither ship is moving faster than c). But from the point of view of an observer on either of the spaceships, the other ship is now moving away at 1.2c.
Not possible. No matter which reference frame you observe from, nothing can ever travel faster than the speed of light relative to you.
Due to relativistic effects, the spaceships would see each other receding at about 0.88c, not 1.2c.
Nope. At relativistic speeds (those at a significant fraction of c) you have to apply Lorentz corrections to obtain the apparent relative velocity from one observer to another. In the case of two observers in inertial reference frames moving on colinear paths at 0.6c away in opposite directions from a fixed point of reference, the apparent velocity of either craft from the other is w~0.882c.
While I say “apparent” (as in how it would appear to the fixed observer in the middle if he just adds the vector) those magnitudes are very, very real to the observers in the moving crafts themselves. In order to make that work, they are also experiencing time slower (by a factor of 0.8) than the guy in the middle. Strange, but true, or perhaps just truly strange. But that is the way the world works when you’re living in the fast lane.
Stranger
Only from the perspective of the guy in on the planet. From the perspective of the observers on the spaceships, the clocks back on the planet are ones that are running slow. However, from the perspective of the spaceships the entire universe is also squished in their direction of travel, so it all works out … .
Recently, I read or heard that someone had found evidence of cosmic expansion in some of the outer galaxies of the Local Group. Can’t remember where I read or heard that, though.
Note that long before cosmic expansion threatens to isolate the Local Group, the Milky Way and Andromeda will have collided and merged. I suspect that M33 will also be sucked into the resulting mess, as, no doubt, will many of the smaller irregular galaxies of the Local Group. In the absence of the Big Rip (which I understand will probably not happen), gravity should have little problem keeping one elliptical galaxy together.
Hard to put a probability on it: The data slightly favor the Big Rip possibility. The reason it’s not taken very seriously is mostly because of Occam’s Razor, since the data are also consistent with simpler models.
But I don’t wanna live in an elliptical galaxy, I want my Milky Way!
Speaking of the Big Rip, apparently stars and planets won’t be ripped apart until the last few minutes. I assume about that same time, it’s going to be Big Rip vs. super massive black holes, like the ones supposed to live in the centers of large galaxies.
So, what happens?
Short answer, it gets messy. The long answer probably wouldn’t fit in one post, and I’m not certain I’m qualified to answer it anyway. Just keep in mind that the Rip is a kind of singularity, and singularities always make things go screwey.