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Old 24-March-2008, 07:31 PM
TalmadgeG1 TalmadgeG1 is offline
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Default Shape of space?

The last podcast that I listen to dealt with the shape of space and that the universe is flat. I was wondering if the universe could actually be a sphere with a size so large that to use it appear flat much like the earth does with a view of the horizon. Our galaxy is just part of the crust o the sphere universe which would be thin compared to the dimensions of the sphere itself. The rapid expansion of space could have made it so the the distances to other reaches of the universe are so distant that not light or any other ray could be detected? Just wondering if anyone has thrown this out there and if it has be shown wrong yet by math/physics?
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Old 25-March-2008, 07:38 PM
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What they mean by "flat" is that it's generally isotropic, particular as you include larger dimensions for comparison. Only locally (that's a very relative term) does it "clump" into smaller things like galaxies and galactic clusters. There are a couple much larger gaps and clumps, but for the most part, it's flat.
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Old 27-March-2008, 12:35 AM
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Quote:
Originally Posted by TalmadgeG1 View Post
Our galaxy is just part of the crust o the sphere universe which would be thin compared to the dimensions of the sphere itself.
As I understand it, yes, the 'shape' of space could be spherical, but so large as to appear flat over that portion of the universe we can observe. (I believe the observations are that the universe is flat within 2% margin of error.)

But... the 'sphere' is a two dimensional analogy of our three dimensional space. Try to think not of the whole sphere (its volume), rather just it's surface. Then try to extrapolate that two dimemsional spherical surface shape to higher dimensions, three, four, more.

Don't worry you can't. No one can. Even the experts can't visualise that 2d sphere surface in higher dimensions, they use mathematics instead.

Once you're ok with that, you can see that our real 3d space isn't the crust of a large hollow sphere. And it isn't necesarily a sphere. Maybe a cube, donut, soccer ball etc.
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Old 28-March-2008, 03:14 AM
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To make it easy, Flat just means that 2 parallel lines going in any direction will stay parallel. The shape can be many things.

It is flat in 3 dimentions. Not just 2 like a piece of paper.

Hard to wrap your head around I know...but when it clicks, you will totally get it.
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Old 28-March-2008, 03:18 AM
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Quote:
Originally Posted by Steve Limpus View Post
As I understand it, yes, the 'shape' of space could be spherical, but so large as to appear flat over that portion of the universe we can observe. (I believe the observations are that the universe is flat within 2% margin of error.)

But... the 'sphere' is a two dimensional analogy of our three dimensional space. Try to think not of the whole sphere (its volume), rather just it's surface. Then try to extrapolate that two dimemsional spherical surface shape to higher dimensions, three, four, more.

Don't worry you can't. No one can. Even the experts can't visualise that 2d sphere surface in higher dimensions, they use mathematics instead.

Once you're ok with that, you can see that our real 3d space isn't the crust of a large hollow sphere. And it isn't necesarily a sphere. Maybe a cube, donut, soccer ball etc.


It can't really be spherical, because lines around the surface of a sphere do not stay parallel. They intersect at the poles and are widest at the equator. To have this shape, the universe would have to have 2 starting points.
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Old 28-March-2008, 04:49 AM
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Quote:
Originally Posted by EvilEye View Post
It can't really be spherical, because lines around the surface of a sphere do not stay parallel. They intersect at the poles and are widest at the equator. To have this shape, the universe would have to have 2 starting points.
Please don't say it can't be spherical EvilEye. By Occam's Razor it must be spherical as the simplest possible solution. This is Q/A after all and if you want to go shooting down the big bang there is the ATM for that


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Old 28-March-2008, 10:50 AM
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How is it ATM?

The accepted Shape thus far is a Taurus. (where lines do stay parallel)
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Old 28-March-2008, 08:38 PM
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how can the universe have a shape at all? I just don't understand, and am not formally educated in this area, i just can't help to think about it. Having a shape implies that there is a center and edges. Having a shape also implies that there must be something "containing" this shape. I just can't grasp any possibility other than an infinitel universe void of any type of shape. Is this a silly idea? it just bothers me constantly....
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Old 28-March-2008, 09:47 PM
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Have a look at this website - it is a good introduction to the concept of the shape of space.
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Old 29-March-2008, 01:57 AM
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Nice link Speedfreek.

Hi Evil Eye. As I understand it the observations are that the universe is flat to within 2% - which leaves the possibility the universe could be negatively or positively curved (and very large - but that wouldn't be a surprise). Having said that, the consensus seems to be that it is flat, and it would seem there's a 98% chance thats correct. A lot of the research goes over my head though...
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Old 29-March-2008, 02:17 AM
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Quote:
Originally Posted by reenpeery View Post
Having a shape also implies that there must be something "containing" this shape. I just can't grasp any possibility other than an infinitel universe void of any type of shape. Is this a silly idea? it just bothers me constantly....
It's like a splinter in your mind, no?

Hang around this forum and it will start to make sense. Mostly.

Just say the word if you would like more links, I'm happy to share my favorites too. And, there's a whole thread of links here:

Resources On The Web

And of course Fraser and Pamela's podcasts:

http://www.astronomycast.com/

It seems to me the most likely 'something' to contain the universe would be a higher dimension(s) - so compare our universe (three dimensions) to the surface of an expanding balloon (two dimensions) in your living room - the higher dimension is your living room (and the air inside the balloon). Thats just my lay opinion though.

Scientists think we may even see real evidence of other dimensions when the Large Hadron Collider fires up later this year.
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Old 30-March-2008, 09:46 AM
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Quote:
Originally Posted by EvilEye View Post
How is it ATM?

The accepted Shape thus far is a Taurus. (where lines do stay parallel)
Er, I drive a Taurus. Methinks you mean a torus. Makes me hungry for a donut.
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Old 30-March-2008, 11:55 AM
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ok....yes.
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Old 30-March-2008, 01:51 PM
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Presumably "torus" means the overall topology is S1×S1×S1, which could be locally flat. Then again S3 is also special, could it also be locally flat?
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Old 30-March-2008, 02:09 PM
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S1? S3? Please explain.
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Old 30-March-2008, 02:38 PM
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S1 is a circle, S2 is a sphere, S3 is a hypersphere.
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Old 30-March-2008, 06:11 PM
cosmocrazy cosmocrazy is offline
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Default space? or universe?

I have the same problem as reenpeery, why can't we just base an idea on that space i.e. the black void of nothing between matter and energy is nothing more than that, an infinite void which could be populated with matter and energy way beyond what we can detect. Or the outer most edges of what we can detect are exactly that the edge of our universe. Is our universe defined by this boundry? ( if it exists ) and the rest is an infinite void? or are we trying to define it as the whole of space? which may be just nothing. I do understand that we detect a background radiation emitting from all directions but this may only show that we are unable to detect further out than the bubble of matter and energy which we are a part of. assuming that there is a way to detect beyond this?
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Old 30-March-2008, 07:03 PM
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Hey Cosmocrazy,

that would certainly be a lot easier. But space isn't nothing. The best theories and observations we have come up with (Big Bang cosmology, and chuck in inflation too) strongly suggest space as we know it (and time for that matter) began with this initial hot dense state called the Big Bang.

The very beginning, less than 10^-43 seconds, is beyond our comprehension, and may always be.

Infinity, when you think about it for a while, has at least as many mind bending problems as 'How did the Big Bang happen' so might not help that much.
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Old 30-March-2008, 07:41 PM
cosmocrazy cosmocrazy is offline
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Hi Steve, thanks, yes i see your point and i can see how infinity creates its own set of problems. the thing i,m struggling to understand is - from the theory of the big bang all matter energy and spacetime sprang into existance from a singularity.Before this point is beyond our comprehension, we can only assume that spacetime matter and energy did not exist and from that moment on the universe spacetime and matter/ energy inflated into the form that we observe today.ok. but if for example that "space" inflates and expands 3 dimensionally with time then surely the space between the subatomic particles expands also i.e between electrons and the nuclei of an atom. If this were the case then the four known forces of nature balance out this inflation to keep matter in the form that we observe, therefore becoming the cosmological constant? i.e electromagnetism & nuclear for the atoms and gravity for everything else?
Its probally because i can only percieve things in the 4 dimensions i know? also i'm very under-educated in the mathematical theories invovled in the physics.
But i,m learning lots from this forum!!
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Old 30-March-2008, 09:34 PM
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Quote:
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If this were the case then the four known forces of nature balance out this inflation to keep matter in the form that we observe, therefore becoming the cosmological constant?
Yes the balance between the four forces result in the universe we observe.

The cosmological constant was cooked up by Einstein because his calculations predicted the universe must expand or contract, but he didn't trust them - he favoured a static eternal universe. The constant was a correction of sorts to counteract the predicted expansion or contraction. When Hubble showed the universe was expanding, Einstein quietly erased the cosmological constant.

But then, the expansion was observed to be accelerating. Welcome back cosmological constant. I don't think scientists have a good handle on what it is, but I've often seen references to a kind of 'vacuum energy' of space, or perhaps it is a vestige of the force that drove inflation. There seems to be some consensus the rate of acceleration varies over time.
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If something is in me which can be called religious then it is the unbounded admiration for the structure of the world so far as our science can reveal it... of the manifestations of the profoundest reason and the most radiant beauty, which are only accessible to our reason in their most elementary forms...
Albert Einstein
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Old 30-March-2008, 10:38 PM