Quantum-lept said:
If there is no edge to the universe, then it is infinite, and there is no center.
It can be finite without having an edge. Think of the surface of a sphere for example.
Quantum-lept said:
But, would not expansion imply that there is an area outside of the universe to expand into?
No. Think e.g. of an infinite line with distance markings on it, and imagine the distance between the markings growing with time. The scale is changing, but the total size isn't.
Nickelodeon said:
If it isn't an event could you tell us what it is?
It's a mathematical property of a class of solutions of Einstein's equation. It can be characterized in many different ways. The most interesting detail is that the distance between two objects that stay at fixed coordinates in space goes to zero as the time coordinate goes to zero.
Each solution of Einstein's equation defines a spacetime. We're talking about a class of solutions, so we're also talking about a class of spacetimes. An event is a point in spacetime. A coordinate system is a function that assigns four coordinates (t,x,y,z) to each event. There's a specific coordinate system that's very convenient to use when we're dealing with these spacetimes. When I mention coordinates, that's the coordinate system I have in mind. If I e.g. mention "the time since the big bang", what I'm talking about is the t coordinate assigned by that coordinate system. (Everyone who understands this does the same thing. That phrase is
defined to mean precisely that).
It's very important to understand that there is no event in any of these spacetimes that's assigned t=0 (or t<0) by this coordinate system.
blank.black said:
but the History Channel said there is a center point from where the Big Bang occurred and they had various scientists on there as well...is the History Channel wrong? are the scientists on there wrong? must i not watch History Channel? :(
There are lots of garbage claims in documentaries about these things, but I doubt that they had astrophysicists on the show who said that. It's definitely wrong.
Greylorn said:
But isn't time dilation, the most notably accurate of Einsteinian predictions, described by special rather than general relativity?
Special relativity is one specific solution of Einstein's equation. There's time dilation in all of them.
Greylorn said:
I'd not known about the pulsar frequency changes. Nor was I aware that gravitational waves have been experimentally detected.
They haven't. GR predicts that the frequency will change because energy is lost in the form of gravitational waves, and that prediction has been verified to an absolutely ridiculous degree of accuracy, by measuring the frequency.
Greylorn said:
Perhaps more relevant, I thought that general relativity can be interpreted as leading to the possibility of a Big Bang, not that it necessarily does so.
All homogeneous and isotropic solutions have an initial singularity. That was known in the 1920's. The singularity theorems of Penrose and Hawking showed that a much larger class of solutions have initial singularities.
Greylorn said:
Moreover, it cannot solve the initial condition problems. Envisioning a collapse of the universe if we run time backwards, it seems clear that time is greatly affected by the concentration of mass-energy in a tiny space. I'd expect the general relativity equations to collapse well before the universe became (running time backwards) the size of a golf ball, and to become absurd afterward.
You're right that GR isn't expected to be accurate for very small values of t. But that's not a reason to think that your intuition about what things are like under those conditions are any better than GR. The theory that describes time in an intuitive way is Newtonian mechanics in Galilean spacetime. That fact that its predictions about results of experiments are much worse than the predictions of GR proves that our intuition is wrong about the properties of time.
Greylorn said:
Also, the concentration of all mass-energy in a tiny space will produce the great grandmother of all black holes, a black hole without an event horizon, and the absence of time would preclude quantum effects at the event horizon from evaporating the hole.
Do you know if these issues have been dealt with theoretically, and where I might locate the papers?
If you mean the issues at times when GR doesn't hold, then no. Those require a quantum theory of gravity. If you're saying that GR says that the early universe would have turned into a black hole, that's just wrong. The solutions that say that a large concentration of mass in a small region will form a black hole, are only telling you what would happen if the rest of the universe is empty. In the "big bang solutions", the density is the same everywhere. It's a very different scenario.
Greylorn said:
Clearly, the cosmological view of homogeneity differs from mine. I look into the universe and see subdivisions of lumps. If I poured out a bottle of homogenized milk with as many lumps as our solar system, or galaxy, I'd toss it as being spoiled.
It's approximately homogeneous and isotropic on large scales, but not on small scales. (Here "small" can mean millions of light-years). That's why the universe is expanding on large scales (distances to far away galaxies are increasing), but not on small scales (e.g. in the solar system).
Greylorn said:
Perhaps I should clarify it. If we can determine theoretically that there must have been a Big Bang (getting there from here), then we should also be able to determine, theoretically, why the Big Bang occurred. (Getting here from there.) I honestly do not understand what is emotional, or non-logical about that proposal. Clarify, please.
Do I really need to clarify why "it seems to me" isn't a logical argument?
GR describes the relationship between how matter is distributed in spacetime and how it must move. If you plug in the (approximate) current distribution of matter, the resulting description of its motion includes a big bang (which is a property of spacetime, but not an event in it). The singularity theorems prove that it's not an artifact of the approximation.
This theory is also
the best theory of time that we have. Experiments have proved that our intuition about time is wrong (certainly much more wrong than how this theory describes time). So it makes absolutely no sense to argue that there must have been a time before the events that these solutions mention.
To ask "why" there was a big bang (of the sort described by this theory), is to ask why Einstein's equation is an accurate description of the relationship between the distribution and motion of matter. That's a perfectly valid question, but you have to understand that it can only be answered by another theory.
Greylorn said:
The "no event" notion smacks of religious beliefs in an omnipotent God who always existed without origin or cause, always knowing everything.
That's the kind of comment I would expect from a creationist who isn't at all interested in learning what this theory says or what a theory is. (Edit: I changed this comment a bit because it sounded too aggressive).
Greylorn said:
You are correct in that I do not understand Big Bang theory. This could be because I am stupid, or could also be because Big Bang theory is not correct. I'm asking questions in hopes of correcting one or both of these issues.
Those are not the only two options. And to prove a theory wrong, you have to perform experiments. Just asking questions isn't going to do it.