The Big Bang Was an Explosion of Space, Not in Space
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Last week I saw a Ted Talk by Prof. dr. Wubbo J. Ockels telling me that space and time are not connected. http://www.tedxamsterdam.com/2009/video-wubbo-ockels-on-time...
The more I read and hear about space the more I get the feeling we don't know nothing about it...
But I agree with you, we do not understand the nature of space.
Their "What is the universe expanding into" episode went further: http://www.astronomycast.com/astronomy/episode-28-what-is-th...
I've been listening to an episode of Astronomy Cast every night for the past two years now - can't get enough of it :-)
class Universe:
def __init__(self)
self.time = []
self.space = []
our_universe = Universe() # <== Big BangSo, screw the analogy. Here's what we know.
Right now, everything is moving away from us in proportion to its distance from us. Read that again, because that's the fundamental observation. The usual intuitive view that lay people have is that we're drifting away from the Big Bang on inertia left over from the explosion. This would not result in what we see. For everything to move away from us in direct proportion to its distance, everything would have to be speeding up all of the time. When we're distance d from the Big Bang, we're drifting away from it at half the speed that we are when we're distance 2d away. Inertia doesn't do that. So much for inertia.
Maybe it's not inertia, but some kind of Magic Inertia that we don't understand? A kind that pushes things faster and faster as time goes on, like little angels perpetually flapping their wings to add momentum to every atom. That's great for a while, but you hit another problem: the speed of light. If you're already moving away at (nearly) light-speed, you can't double your speed. Doubling your momentum will just give bring you infinitesimally closer to light-speed. D'oh.
So what is the answer? The closest you can get without worrying about math is probably this: Space is being created, and distance is somehow being inserted in the gaps between everything, and this happens continuously and everywhere. The other, more accurate, way to see it is that the meaning of "distance" and "duration" (that is, the metric we use to determine the distance between points, both in space and time) is itself changing as the Universe expands.
This results in some observables that cannot be explained otherwise, and which we do actually observe. In this model, everything (at intergalactic distances) does indeed increase its distance from everything else, and in direct proportion to the original distance. Since this is a change in the spacetime metric, rather than actual movement within spacetime, it does not result in relativistic effects that you would see if it were literal movement. There are galaxies in the sky right now whose distance from us is literally increasing at a rate that would be impossible if it were due to movement, since it would require movement faster than the speed of light. That's the clincher--the reason no other model can possibly work.
This "metric expansion of spacetime" maybe sounds like a cop-out, like something's been invented just to explain the Big Bang, but it hasn't. This is exactly what matter does in the normal scales of planets and stars. The changing of the spacetime metric is what gravity fundamentally is, as Einstein explained with General Relativity. It's the reason clocks run slower on Earth than they do in space, and it's the reason the planets stay in their orbits. It's all really just quite ordinary.
The existence and relative long-term stability of Hubble Expansion is, frankly, one of the most certain things anyone knows about physics. If you can replace it with something else, it has to be something that reduces to the exact phenomenon of Hubble Expansion under the normal conditions our Universe is currently in.
But because real galaxies are made of massive stars, they pull on each other and maintain the shape of the galaxy against the effect of the metric expansion. In addition to the doppler shift you see in the balloon galaxy, you get an added effect from the "peculiar velocity" of the stars perpetually falling toward each other within the expanding space time--but, of course, never actually getting any closer, since the effects cancel out. The parts that are closer to you have peculiar velocity away from you (because they're falling to the center of the galaxy, which is further away) and the parts that are farthest from you have peculiar velocity toward you (since the center of the galaxy is closer to you).
So, the red-shift from the distant parts is reduced by the blue-shift caused by their peculiar velocity in the direction of the observer, and the lesser red-shift of the closer parts is exacerbated by the peculiar velocity away from the direction of the observer. If we were to naively suppose that this "Finger of God" effect weren't happening, and that red-shift and distance behave as they normally do in accordance with Hubble's Law, we would be forced to conclude that all galaxies are somewhat "pancake-shaped" with every pancake facing toward Earth. This doesn't seem quite right, and fortunately the effect of peculiar velocity shows us that it doesn't have to be, and conveniently verifies the truth of Hubble Expansion.
I have a question. Our current cosmological understanding indicates that no matter where you are in the universe, you'd see this recession, correct? If so, bizarre thought experiment: If I could somehow magically teleport from here to the very edge of observable spacetime, wouldn't I see, broadly, the same stuff as I see from earth? A whole bunch of receding galaxies?
Edit: grammar
Further, we know from more recent evidence that the Universe is homogenous on scales larger than galactic clusters. On the scales of stars and galaxies, the Universe has large expanses of empty space sprinkled with massive galaxies. Zooming out, you can see "clusters" of up to about a thousand galaxies separated by larger areas that have fewer galaxies. But once you get above that level, on the order of 10^24 to 10^25 meters, there's simply no more structure to be found. As far as we can tell, if you take a spherical region with a diameter 10^25 meters from anywhere in the Universe, it will have roughly the same amount of mass regardless of where you take it from, and the Universe is of roughly uniform density.
Maybe the question is too absurd, since we can't teleport in the way I described, but it's...I don't know...interesting.
Thanks!
Just for kicks, let's add in that the earth is expanding like the universe. You're at point A, there's a tree at point B, and the horizon past the tree in that direction is point C. If the earth is expanding, then point B will be receding from both point A and point C, in part because point C is receding twice as fast.
[1] The reason for the boundary of the observable earth is totally different, but that doesn't change the point.
It was previously (up until a decade or so ago) an open question as to whether the Universe itself might be smaller than the OU. This sounds absurd, but consider the example of a hypothetical jet that could circle the Earth ten times without refueling. While normally the "range" of a jet plane is a circle about some point, the range of this jet exceeds the size of the Earth itself. Similarly, if the Universe were smaller than the OU, some of the distant galaxies we see would actually be repetitions of closer galaxies from an earlier time and a different angle, since the light had been "looping around" the Universe once or more before reaching us. Or, as Modest Mouse put it in one of their better songs: "The Universe is shaped exactly like the Earth / If you go straight long enough, you end up were you were." Recent evidence from the Cosmic Microwave Background has made this idea very unlikely, but it's a useful example to clear up misconceptions about the OU.
So, however big the Universe actually is, it's bigger than the OU, which means that the stuff cosmologists are debating about is space that cannot, even in principle, ever be observed. It's an important question, though, since whether the Universe loops back on itself on the large scale or just keeps going forever has implications for whether gravity will win out over Hubble Expansion in the long run, determining the eventual fate of the Universe.
> "So, however big the Universe actually is, it's bigger than the OU, which means that the stuff cosmologists are debating about is space that cannot, even in principle, ever be observed"
What if we learn how to make better neutrino telescopes, them how much of the Unobservable Universe could we see? Can you recommend a paper about this?
But there're a group of neutrinos that decoupled before the decoupling of radiation, even before this gravitational waves were at large in the universe, they could in principle say something about regions that are outside the Observable Universe, this ignoring the fact that they must be absolutely difficult to observe and that both neutrinos and gravitation waves are generated by new events and that we can in fact extract some information about these regions from them in the same way we can from light.
This was what I found from a paper, "Detection of gravitational waves with resonant antennas" from Francesco Ronga, earlier today:
"Gravitational wave and neutrino astronomy will increase the amount of observable universe, because they will investigate places that are completely inaccessible to the electromagnetic radiation and probably will change our knowledge of the universe evolution"
But, terminology aside, this still leaves your question: How much farther could we see if we could pick up neutrinos or gravity waves? Not a whole lot, unfortunately. Most of the expansion of the early Universe occurred during the (aptly named) inflationary epoch, and that lasted less than a tiny fraction of a second, leaving very little time for a neutrino or gravitational wave to travel before the Universe became very large. The expansion that occured in the following 300,000 years is negligible by comparison to that first tiny moment, so you won't get a whole lot more than 300,000 light years out of those neutrinos. I'm too tired and lazy to do the math to find the radius of the surface of last scattering, so I'll run a quick Google search, and...
The final answer is that the visible universe, or that which is not obscured by the opaque matter that dominated in the first 300K years, is a sphere with radius of 45.35 billion light years, while the observable universe, which is everything that can observed in principle, is just a bit further at a radius of 46.5 billion light years. So, yeah, we've got most of it covered.
Also, then, for me this makes me wonder: is then the big bang simply the origin of the null cone over whose event horizon we can't see? Clearly this is a Minkowski spacetime paradigm, and I have no idea where that stands in terms of general favor.
Also: further reading? I'm guessing "The large scale structure of space-time" is a bit dated ;)
I'm not fully understanding your next question. The origin of our light cone is here and now. Minkowski spacetime is an approximation that (almost) works in the absence of gravitating bodies. Once general relativity gets involved, certain features of Minkowski spaces start failing, like the fact that you can always reorient light cones so that they're parallel. This fails even in intergalactic space, where there is still a non-vanishing Weyl tensor effect due to Hubble Expansion. So, without getting too much into the detail, in the real world light cones are (forgive me) uncannily un-coney. Our past light "cone" collapses back in on itself in the distant past and converges on the Big Bang, but so do light cones everywhere in the Universe, even outside of our observable universe. Though, whether a light cone even has meaning before the inflationary epoch is a question of Grand Unification Theory, which is very much over my head.
As for further reading, Dodelson's "Modern Cosmology" is great if you're not afraid of learning the math behind General Relativity: http://amzn.com/0122191412 The text doesn't assume very much familiarity with GR, but it does assume enough mathematical sophistication that you can fill in any gaps in your knowledge on your own.
(And if you don't like the idea of learning about tensors, you're SOL. Sorry. There's a very low ceiling of how much one can know about cosmology without tensor calculus.)
The key to the balloon analogy is that it only applies to the surface. The interior of the balloon is to be ignored. You say you can easily find the center of the balloon, so I think you don't get this, because I suspect your "center" is the 3D center of the balloon. But that doesn't exist. Only the surface does. What's the central surface point of a sphere? There isn't one. That's the universe, only the surface is 3D, not 2D.
I'm fairly sure that even a large number of people using the "expanding ballon" metaphor don't get that, let alone the poor readers. I tend to be surprised when I see it explained correctly.
Also, in the classic picture of the wormhole, like you might find here: http://casa.colorado.edu/~ajsh/schwm.html , the wormhole is not the tunnel itself. If you see someone drawing an arrow that goes down the middle of the tunnel as the path of travel, they don't know what they are talking about. (That's the best picture I could find quickly, they're actually showing something else with that arrow, so I do not accuse them.) The wormhole is the sides; the image is two 2D chunks of space being connected through a 3rd dimension. (Incidentally you can tell Hollywood doesn't know either, because they always actually "draw" the wormhole.) The curvature of the 2D planes corresponds to gravity in these displays.
This is also true of the classic "rubber sheet" gravity analogy; the rubber sheet applies only to 2D, and the 3D "things" usually drawn should be understood to be merely labels explaining where the curvature comes from. You really shouldn't see a "rolling ball" on the surface, you should see it in the surface. Again, this is done incorrectly far more often than it is done correctly.
But, I'm not a physics professor. Your mileage may vary.
Unfortunately, I don't know how to do any better. There's a leap to even abstractly understanding 4+ dimensions and a lot of people simply won't make it. Without that you've "already lost" regardless of how clever your metaphor is.
From us? So does that mean that we are at the center of this expansion?
In any case I think it's fascinating that tiny creatures such as ourselves can think thoughts like this. The universe is clearly using us to understand itself.
Do you see what's wrong here? If there was no time, there could be no "before". Besides, if you are talking about probabilities of something to occur, that means there was some cause of that event, and that in turn implies there was time before time started (?) because causes and effects occur in time.
These things have nothing to do with the Big Bang theory anyway, let alone all this kind of speculations make little or no sense.
We are [part of] the universe. The universe is trying to understand itself.
Then again maybe not... :)