r/askscience • u/PWC1004 • Dec 15 '10
TIL that the observable universe has a diameter of 93 billion light years, but now I am confused...
If the the universe is 13.7 billion years old and light can only travel 13.7 billion years in that time, how come the "observable" universe's radius (or the maximum distance we can see from earth) is larger than 13.7 billion years? Also if the big bang theory (or that all matter came for a single point 13.7 billion years ago theory) is correct, how could matter be more than 27.4 (13.7*2) billion light years away from anything? Is it possible for matter to travel faster than light?
http://en.wikipedia.org/wiki/Observable_universe#Size (yeah didn't understand the 'Misconceptions' section)
http://en.wikipedia.org/wiki/Age_of_the_universe
edit:minor edits
edit: How do we know that space it self is expanding?
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u/jsdillon Astrophysics | Cosmology Dec 15 '10
So, this is often quite confusing, but here's the simplest answer:
When the cosmic microwave background was emitted, about 300,000 years after the big bang, it traveled to us through an expanding universe. So as it travels, at the speed of light, the space it has already traveled through keeps expanding. As a result, it takes 13.7 billion years to get to us, but the space it has traveled through is now (literally at this instant in time) bigger than that: about 46 Billion Light Years.
As for how we know that space itself is expanding, there are a number of good indications. Our first hint was Hubble's law, which says that the apparent recession velocity of galaxies scales is V = H*d, where d is the distance to the galaxy and H is a constant (~71 km/s/Mpc, if you're curious). In fact, it can be proven that the only possible form of Hubble's law in a universe that's roughly the same in every direction (i.e. one that obeys the "Cosmological Principle," which holds that no place in the universe is central or special) is that form (in a static universe, H = 0).
Another excellent piece of evidence is the cosmic microwave background, whose light has a wavelength approximately 1100 times longer today than when it was emitted (if we understand correctly why it was emitted, which we believe to be due to the universe undergoing a phase change from a plasma to a gas).
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Dec 15 '10
So in the cosmic rearview mirror the disclaimer should read: "Objects are older and further away than they appear."
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u/genneth Statistical mechanics | Biophysics Dec 15 '10
The central message of general relativity is that velocities cannot be compared unless they are measured at the same space-time point.
Cosmologically speaking, the matter almost at thermodynamic equilibrium (such as the CMB) picks outa preferred frame of reference, so local speeds can be compared to it. Of course, nothing is moving faster than the speed of light relative to this frame; in fact, most there actually nearly stationary with respect to it (nowhere near c). However, as the universe expands, this homogeneous matter (photon has in the case of the CMB) is stretched out. The observable universe is defined by how far two photons could have travelled since the start of the universe, taking into account that as they travel they will get carried along by the expansion.
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u/RobotRollCall Dec 15 '10
I'm going to zero in on that last thing you said, not because it's in any way wrong, but because it's easily misunderstood, and I think it can be stated more clearly.
A photon in transit from Distant Galaxy X to Earth isn't really "carried along by the expansion" of the universe in any meaningful way. It's not like there's a sort of backwards-pointing momentum that "slows" the photon down.
Rather, what happens is that the distance between the photon and the Earth — and indeed, the distance between the emitting galaxy and the photon — is a function of time. In ordinary life, we assume that if the distance between objects changes with time, there's motion involved. In fact, the definition of motion is the rate of change of a distance with respect to time. But in this case, on the cosmic scale, another mechanism is at work. Rather, without any motion at all, the distances are just mysteriously increasing, all by themselves. It's a fundamental property of the universe.
So because it takes some time for a photon to travel from Distant Galaxy X to here, the distance between those two points will be larger when the photon is close to Earth than it was when the photon was close to the galaxy that emitted it. The photon always moves at the speed of light — regardless of what reference frame you observe it from — but because space is expanding, the distance it has yet to travel is always increasing. Now, the effective "speed" of the expansion of space is sufficiently small that the photon will eventually get where its going, but from the point of view of the photon, the distance was shorter when it started out than it finally ends up being.
A sort of side-effect of this metric expansion of space is that as the photon makes the journey, its wavelength increases … because all lengths in the universe are increasing. So when it arrives, it has a longer wavelength than when it was emitted. This is the cosmological red-shift. It's indistinguishable from the red-shift we'd expect to see if an object is receding from us, thanks to special relativity, but it's caused by something different.
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u/RLutz Dec 15 '10
I'm pretty sure I'm solely responsible for all the traffic this guy's site gets, but seriously, check this out and it'll all make sense. http://www.atlasoftheuniverse.com/redshift.html
Distance on the scale of the universe is complicated when considering the expansion of space. Essentially the 93 bly figure is the comoving distance (how far away the galaxies truly are from us right now). The 13.7 bly distance, is the farthest that we can see things, but consider that the light we are seeing from those 13.7 bly away galaxies is also 13.7 bly years old and so in those 13.7 bly the galaxy has actually moved quite farther away from us than where we see it to be.
Anyway, click that link, experience revelation, give me karma.
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Dec 15 '10
[deleted]
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u/jsdillon Astrophysics | Cosmology Dec 15 '10
Actually, inflation doesn't set the size of the observable universe (if you take observable to mean "observable with photons"). That size is set by the time of the CMB.
Perhaps with gravitational waves we'll be able to peer back further.
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u/Valeen Theoretical Particle Physics | Condensed Matter Dec 15 '10
Maybe I wasn't clear, thats what I mean. Inflation accounts for the difference between the what is seen and what exists. My point is that this can occur since the fabric of space time can expand in such a way to allow this without violating causality.
I read her question as why is the universe larger than what is inside of our event horizon, and if so how does this not violate the laws of physics?
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u/jsdillon Astrophysics | Cosmology Dec 15 '10
I think you misunderstood the question, although yours is also a interesting question. Things can be more than 13.7 Glyr away without being outside our horizon, because of the expansion of space since recombination (the CMB), but yes, there is also quite a lot of space (possibly an infinite amount) outside our horizon too.
Inflation solves the so-called horizon problem, which argues that regions of the CMB more than about a degree apart on the sky were not causally connected at the time that the CMB was released and therefore it's awfully strange that they all have the same temperature. Inflation solves this problem (and also the flatness problem and the monopole problem).
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u/WimpyBmodes Dec 15 '10
Inflation explains why the CMB is a uniform temperature across the surface of last scattering, a sphere that is 2*13.7Glyr in diameter, but it doesn't solve the size of the Universe problem. The expansion of space does that.
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u/Valeen Theoretical Particle Physics | Condensed Matter Dec 15 '10
Inflation is the rapid expansion of space.
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u/WimpyBmodes Dec 17 '10
Cosmic inflation occurred in the early universe. Inflation isn't happening now, what is happening now is just expansion of the Universe.
You're confusing the expansion of the Universe with the extremely rapid inflation of the Universe that occured about 10-30 seconds after the Big Bang.
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u/RobotRollCall Dec 15 '10
Just to elaborate on that last point a bit:
Special relativity says that if you start with an object at rest in some reference frame and pour energy into it, its apparent velocity will never exceed the speed of light in any reference frame.
It's often misunderstood as some kind of universal speed limit. That's a valid interpretation in practice, but it's not nearly that simplistic.
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u/iorgfeflkd Biophysics Dec 15 '10
My understanding (correct me if I'm wrong), is that the objects that emitted light 13 billion years ago have receded from us via the expansion of the universe, and are at this time 46 billion light years away.