Don't even know which question to ask first

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Discussion Overview

The discussion revolves around understanding concepts in cosmology, particularly geometry and topology of the universe. Participants explore questions related to the nature of the universe, the implications of traveling vast distances, and the significance of the cosmic microwave background (CMB).

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions what significant differences would be observed in the sky after traveling four billion light years, expressing confusion about the concept of a center in the universe and its geometry.
  • Another participant asserts that, according to the cosmological principle, the universe is statistically the same everywhere, suggesting that average densities and separations would remain unchanged regardless of direction traveled.
  • There is a discussion about the implications of the universe being flat versus closed, with references to different topologies like spheres and tori, and how these relate to the observable universe.
  • A participant expresses confusion about the concept of the last scattering surface and the distance to the CMB, seeking clarification on what would be observed if one could travel to that location.
  • Clarifications are made regarding the nature of the torus and its properties, with one participant explaining that a torus can be considered flat in a certain mathematical sense, despite being closed.
  • There is a concern about visualizing the last scattering surface and what it means to be at that location, with participants discussing the implications of being at the center of a sphere representing the CMB.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and confusion regarding the concepts discussed. There is no consensus on the implications of traveling through the universe or the nature of the last scattering surface, indicating ongoing uncertainty and debate.

Contextual Notes

Participants acknowledge limitations in their understanding of topology and cosmological concepts, with some expressing a desire for further resources to clarify these ideas.

  • #31
GreatBigBore said:
Ok, but "out to the limits of our vision" brings me back to the question: what do we think might be there, or what might I experience if I tried to get "there"?
We would arrive back at our departure point.
 
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  • #32
GreatBigBore said:
Ok, but "out to the limits of our vision" brings me back to the question: what do we think might be there, or what might I experience if I tried to get "there"? I don't mean unicorns. I mean what are the things being considered plausible by the larger community?
Different low-energy laws of physics.

Let's see if I can explain this. Basically, in our current physical theories, there are certain symmetries that are respected at high energies, but at low energies are broken.

One way that this is often illustrated is this: imagine that you have a large field of pencils, all evenly spaced. Once end of each pencil is anchored in the ground, and the pencil is free to move around. Now, we're also going to connected the other ends of the pencils with springs to one another, so the nearby pencils will tend to want to be in the same direction.

What happens at high temperatures for such a configuration is that these springs have a lot of random energy, so the pencils are bouncing around every which direction: the system as a whole has no preferred direction.

But as you lower the temperature, the pencils start to fall. And when they do start to fall, the neighboring pencils all want to fall in the same direction. So the pencils in one region may fall and point east. The pencils in another region may fall and point northwest. And so on. The size of the regions of the pencils pointing in anyone direction will depend upon how rapidly they froze.

We expect that with our current theories, there are direct analogs of this process that went on: fields that want to take on the same value at neighboring points in space, but don't care (much) what value that is. And things like the strengths of forces and masses of fundamental particles may depend critically upon the particular value of this field.
 
  • #33
DaveC426913 said:
We would arrive back at our departure point.

And your basis for this is?

DaveC426913 said:
And the sign said / Anybody caught trespassin' / Will be shot on sight.
So I jumped on the fence / And I yelled at the house / "Hey! What gives y* -=>BLAM<=-
*thud*
(Dude! Didn't you see the sign? Jeez!)

Oh. Dude. I can't stop laughing.
 
  • #34
Chalnoth said:
Let's see if I can explain this.

You have a fan. Thanks. Could you name a book or two along these lines? Or a URL?
 
  • #35
GreatBigBore said:
You have a fan. Thanks. Could you name a book or two along these lines? Or a URL?
Well, this is mostly information I remember from classes, and I'm not entirely sure I want to suggest our textbook. But the phenomenon I described is known as "spontaneous symmetry breaking." The linked Wikipedia article will get you some more in-depth information. This sort of phenomenon is seen in all sorts of physical systems here on Earth, and seems to be an integral component of the standard model of particle physics (for electroweak symmetry breaking).

Also, spontaneous symmetry breaking has another interesting aspect: depending upon the dimensionality of the space, you tend to get what are called defects. For the pencil example above, for instance, a stable configuration is one where one pencil is standing up on end, and the neighboring pencils are all pointing away from that one. This "defect" would manifest itself as a point of very high energy.

For three dimensional space, a similar thing happens, but due to the extra dimension, instead of a point, you have a string: a long region where the field takes on a high-energy value and isn't allowed to "fall" due to the neighboring field values. These are called cosmic strings, and so far we haven't yet detected any. We know now that they must be quite rare, but the search for such direct signatures of spontaneous symmetry breaking is ongoing.
 
  • #36
Chalnoth said:
Different low-energy laws of physics.

Wait a second. The low-energy laws of physics is *us* isn't it? I mean, the laws that govern our everyday lives?
 
  • #37
GreatBigBore said:
Wait a second. The low-energy laws of physics is *us* isn't it? I mean, the laws that govern our everyday lives?
Yup, precisely. So it's conceivable, for instance, that a different region far away could have different decay rates for radioactive atoms, perhaps a different strength of the electromagnetic force. Stuff like that.
 
  • #38
GreatBigBore said:
DaveC426913 said:
GreatBigBore said:
Ok, but "out to the limits of our vision" brings me back to the question: what do we think might be there, or what might I experience if I tried to get "there"?
We would arrive back at our departure point.
And your basis for this is?
If the universe is curved and closed, it may be in the form of a 4-dimensional spheroid. Just like on a 3-dimensional sphere, if you head in one direction long enough, you will arrive back at your starting point.
 

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