russ_watters said:
Well, you're missing something there. When they talk about the "observable universe", they are talking about an expanding sphere of what we can see due to the distance the speed of light can travel in a time limited by the age of the universe.
That is different from the entire universe, which need not have any boundary.
I agree strongly. The
observable really is a different kettle of fish. It is merely the part of the whole which we have got light from SO FAR.
The observable universe constantly increases as we get signals coming in from farther and farther
I also think you put your finger on what Havona and a lot of other newcomers are MISSING. they can't picture the 3D analog of the expanding boundaryless 2D surface of the balloon.
Maybe we need a tutorial that everybody gets put thru if they want to discuss cosmology.
(BTW I don't understand why this thread was started in Astrophysics since the topic is cosmology---the shape and dynamics of the universe---not individual stars and star systems.)
As a math student you get told about the 3-sphere early on and a way it may get introduced is as the ONE POINT COMPACTIFICATION OF EUCLIDEAN THREESPACE.
Euclidean R
3 is just your familiar x,y,z space, as usual as graph paper. And then you picture adjoining just ONE EXTRA POINT the point at infinity in all directions. And that is the topological space S
3,
It is easy to imagine walking around in because it is just like an infinitely big classroom with the extra feature that a straight line heading off in one given direction eventually comes back.
Another way to picture the 3-sphere S
3 is as the "skin" on a 4D BALL. And then you have a radius r and you can write down the finite 3D volume of S
3 in terms of r.
It is 2 pi
2 r
3
================
Maybe it is too much to expect of newcomers like Havona that they teach themselves to picture living in S
3
and pick up a little understanding of it. There is not much, it's so basic.
My hunch is that in Havona case it is not too much to expect at all, but it might be as a general rule.
The good thing is that S
3 is
FINITE AND BOUNDARYLESS THREE DIMENSIONAL SPACE WHICH CAN EXPAND in an easy-to-picture way: just like the balloon expands which is simply the lower dimensional version of it.
So if a newcomer can picture S
3 then there might not be so much reluctance to accept basic cosmology ideas. Just a thought.