Hello Sleeth thanks for the new question, more to think about. But there was still a bit of grist for my mill in what you said earlier
Originally posted by LW Sleeth The other related question I have is about how fast matter is traveling in expansion. I thought I read that some galaxies are receeding at nearly the speed of light. Can matter so massive really go that fast?
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this is the most important question because it involves RECONCILING the local SR picture with the global GR picture.
It is easy for distant galaxies to be receding at twice the speed of light or more and it does not make them more massive. It is inevitable that some galaxies would be doing this because of the uniform expansion of space. Yet this does not contradict Special Relativity, which is about relative speeds of things at the same point in space or in the same locale.
The coordinates of SR are called "Minkowski" and Minkowski coordinates don't apply in the large. The Minkowski spacetime
of Special Relativity has no ability to expand. In the real universe you can only apply Minkowski coordinates in a small local region,
like a bandaid. There is no bandaid that covers the whole person.
No rocket ship could PASS THE EARTH going over the speed of light. Indeed in our local coordinates as things approach the speed of light their energy (measured in our local laboratory coordinates) grows unboundedly. They become harder and harder to speed up any further---taking more and more energy to get the next little bit of speed.
But that is no reason why a distant galaxy can't be just sitting still in the space around it and receding from us at twice the speed of light. Thousands of galaxies are doing just that. It does not contradict SR because it is not in our laboratory, or in the sun's neighborhood, or in our local Minkowski coordinates----however you want to say it.
We did not invest energy to accelerate those distant galaxies. They don't have any extra energy or mass just because they are sailing away at twice the speed of light. They have to, because space is expanding, and they are not in the same local SR Minkowski coordinte frame with us.
The distance to them is measured with a METRIC, the robertson walker metric which is able to deal with spacetime curvature and cope with expansion and do stuff which the rigid Special Relativity metric ("minkowski metric") cannot do.
So...different idea of distance...leading to different idea of speed...NO PROBLEMO! Galaxies receding at twice the speed of light and yet no weirdness like tachyons and going backwards in time and killing your grandfather and circus freak infinite energy stuff. All those things are stories told in a Special Relativity surround.
They recede at twice the speed of light and more because they are outside the purvue and jurisdiction of Special Relativity and there is no weirdness.
Originally posted by LW Sleeth
Thank you for clearing that up. The reason I wondered is related to an additional question I've been pondering which is, what is creating "space"?
Now this is a REALLY interesting question. I will think a bit before answering. I think you would be satisfied if we just kept the DENSITY of mysteries like dark energy constant and space expanded.
If there is always the same amount of virtual X-particles PER CUBIC METER, then if your one cubic meter volume expands to be two cubic meters you now have twice as many virtual X-particles or "weirdons" or whatever. And twice as much of all the other familiar inhabitants of the vacuum as well.
That should be enough goodies for anybody. Let's not talk about space as if it were a commodity. If it expands and the per-volume quantity of all this mysterious stuff stays the same, then we get more goodies. the mystery remains, but phrased more acceptably IMHO.
It is definitely mysterious. 73 percent of the energy in the U is called "dark energy" and nobody has a convincing theory of what it is and it has never been detected. And the assumption is that the density of it is constant over space and time. So what makes more---to keep the density constant when space expands? [?]
It is one of the questions that make life worth living. I mean it.