Is the universe still expanding?

AI Thread Summary
The discussion centers on the expansion of the universe and the implications of redshift observed in light from distant galaxies. It highlights that redshift indicates the velocity of light sources at the time the light was emitted, not their current velocity, leading to questions about whether these sources are still moving away. Participants clarify that astronomers use mathematical models based on observed data to predict future observations, rather than making assumptions about the current state of distant objects. The conversation also touches on the philosophical aspects of scientific models and the nature of evidence supporting the Big Bang theory, emphasizing that current understanding is based on observable phenomena rather than assumptions about the universe's structure. Ultimately, the discussion reflects ongoing curiosity and debate about the universe's expansion and the reliability of cosmological models.
Simetra7
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When the HST looks out into the far off regions of space, the data it receives (the light from distant galaxies etc.), has been traveling for millions of light years. When this data shows red shift, and therefore that the source of the light is moving away from us, does this mean that at the time that light was emitted (millions of light years ago), its source was traveling at the velocity indicated by the red shift, or does the red shift indicate the velocity of the source of the light at the present time? If we can only measure the velocity from the time the light was emitted, then how do we know whether the source is still moving away from us or not?
 
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I get the basic gist of the doppler effect, but what i want to know is, does the motion of the light source affect the wavelength of the beam of light along it's whole length, considering that we are talking about a beam of light that extends through millions of light years of space. As an example, if the source of light suddenly disappeared, it would be millions of years before we would know that it had disappeared. Would we still see the red shift and assume that the source of light was speeding away from us?
 
Ahh! Now it makes more sense, Thanks. When you understand that it's the space between us and those distant objects that is expanding rather than just the objects themselves moving away from us it's easier to see why the whole length of the light beam is stretched. I think i will learn a lot from these forums.
 
I have been thinking about this subject some more, and referring back to my second post, if the source of light did disappear, (explode or collide with another star etc.) what would happen to the light that we observe from that source?
 
Simetra7 said:
I have been thinking about this subject some more, and referring back to my second post, if the source of light did disappear, (explode or collide with another star etc.) what would happen to the light that we observe from that source?

what was already on its way would keep coming as if nothing had happened.
we would only learn of the disappearance, or explosion, or collision, later when the light from THAT event had a chance to reach us
 
marcus said:
what was already on its way would keep coming as if nothing had happened.
we would only learn of the disappearance, or explosion, or collision, later when the light from THAT event had a chance to reach us


So we would still assume that that object was there, and that it was speeding away from us at the velocity indicated by the redshift?
Is most of what is known about the universe based on similar assumptions.
What i mean is could much of what we have observed out there be long gone, or are there other ways of telling whether these objects are still there?
 
Simetra7 said:
So we would still assume that that object was there, and that it was speeding away from us at the velocity indicated by the redshift?


... other ways of telling whether these objects are still there?

who is WE?

astronomer/cosmologists would not need to assume that
their models only require you to assume what is consistent with the laws of physics

(what is required by physical law is already a bit fuzzy, there is broad agreement on a lot but some disagreement and some gradual change in the consensus view)

If a star explodes, and a certain amount of energy escapes as light, neutrinos, etc. then (conservation of mass-energy law) whatever doesn't escape is going to still be there as material remnants, a cloud of crud, a neutron-star cinder etc.

the models cosmologists use DONT DEPEND ON THE MATTER BEING IN PARTICULAR FORMS , they are mathematical models that don't need to assume that a particular object remains that object----the atoms and particles are still there regardless of what arrangement they happen to be in.

==================

so I guess the answer to your question is NO we don't need to assume details that we don't actually know. The models are mathematical and not verbal. You just plug in what you have observed---from the light that already reached us----and you assume some math equations called physical laws----and you draw conclusions from that.

the conclusions are of a limited qualified nature. you can't deduce with certainty things you haven't seen yet, only make predictions about what will be observed over there in the future "we saw it explode so that glowing expanding cloud of crud that we see now, if nothing has interfered with it, is probably still out there glowing and expanding according to the laws, and we can predict that we will still see it tomorrow"


then if ever anything happens that goes against prediction, everybody gets very excited because it is a chance to revise the laws!
Physical laws are used to make predictions until they are proven wrong (or of limited applicability) by making a wrong prediction and can be replaced or corrected by improved laws.

Fortunately or unfortunately, the laws only change very slowly. Newton's laws are still more or less true (only slightly modified by einstein) and keep on being used, and keep on working. one just has to use a little common sense about not applying them to some extreme situations where they need relativistic correction.

that is good in the sense that a great deal of stuff is routinely predictable

but it is less fun for the theorists because they get their kicks when experiment and observation proves that some law is wrong and then the theorists get to look for how to tweak it so it will fit the data better, or replace it by some more clever law.

I am not all that knowledgeable about this -----basically your question goes into Philosophy of Science, or Foundations of Science, issues. So maybe somebody else here will answer in some more satisfactory way. this is the best I can do at the moment anyway.

========SUMMARY OF RESPONSE=====

NO, if "we" means scientists, then we do not claim to know about future observations, we know only what we have observed.

we make a lawful model that fits the past observations

and then we use that model to PREDICT about future observations

and that then serves to TEST the model and the laws that went into it

and if future observation goes against the predictions then everybody has fun because they get to refine the model and maybe even modify the laws.
but that doesn't happen very much because the laws have gotten pretty good and keep predicting right.
 
  • #10
Simetra7 said:
... speeding away from us at the velocity indicated by the redshift?
...

that "speeding away" is not such a good verbal image
did you read the Sci Am article by Chuck Lineweaver and Tamara Davis about expanding universe? it clears up a lot of common confusion
we have some links to that around here somewhere.

how do you imagine the recession velocity is "indicated" by the redshift?

if you think you can calculate it as a doppler effect, with the doppler shift formula, then you have misunderstood expansion

if you want to read that recent Sci Am article, ask and someone will get links----or you can probably google with Lineweaver Davis and get it
 
  • #11
marcus said:
who is WE?

astronomer/cosmologists would not need to assume that
their models only require you to assume what is consistent with the laws of physics



Sorry! "We" was probably a poor choice of words. I meant the experts in the field. My undertsanding of cosmology is limited but i am fascinated by what i have read so far and am keen to learn more. I would be very interested in reading the article that you spoke of. Thanks.
 
  • #12
Simetra7 said:
marcus said:
who is WE?

astronomer/cosmologists would not need to assume that
their models only require you to assume what is consistent with the laws of physics



Sorry! "We" was probably a poor choice of words. I meant the experts in the field. My undertsanding of cosmology is limited but i am fascinated by what i have read so far and am keen to learn more. I would be very interested in reading the article that you spoke of. Thanks.

Great, also Yaaks recommended some Wikipedia articles which could be helpful too.
As it happens Charles Lineweaver and Tamara Davis are two of my favorite cosmologists, I am glad to dig up the links to their Sci Am article.

It is one main article, on maybe 6 pages plus some SIDEBARS. I will get the links to the sidebars because they address people's common misunderstandings and i think they are very good
 
  • #13
Simetra, see if these work!
MAIN Lineweaver and Davis article in March 2005 SciAm
http://www.sciam.com/article.cfm?chanID=sa006&colID=1&articleID=0009F0CA-C523-1213-852383414B7F0147

SIDEBARS with pictorial diagrams and a question together with right and wrong answers explained.

http://www.sciam.com/media/inline/0009F0CA-C523-1213-852383414B7F0147_p39.gif
What kind of explosion was the big bang?

http://www.sciam.com/media/inline/0009F0CA-C523-1213-852383414B7F0147_p40.gif
Can galaxies recede faster than light?

http://www.sciam.com/media/inline/0009F0CA-C523-1213-852383414B7F0147_p42.gif
Can we see galaxies receding faster than light?

http://www.sciam.com/media/inline/0009F0CA-C523-1213-852383414B7F0147_p43.gif
Why is there a cosmic redshift?

http://www.sciam.com/media/inline/0009F0CA-C523-1213-852383414B7F0147_p44.gif
How large is the observable universe?

http://www.sciam.com/media/inline/0009F0CA-C523-1213-852383414B7F0147_p45.gif
Do objects inside the universe expand, too?

If these links don't work because they have gotten old, please let me know.
 
  • #14
Life becomes much simpler if you assume Hubble was wrong.
That the universe is not expanding!
That the red shift we see is partly due to the Earth's rotation on its axis,
round the sun, orbits the centre of the milky way.
We are always moving away from a lot of the sky.
But REd shift is also caused by light passing through gravity fields, light slows down.
Shapiro effect . Compton effect , Einstiens weak light.
The universe is infinite and not expanding!
 
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  • #15
johninf said:
Life becomes much simpler if you assume Hubble was wrong.

Indeed, ignorance is bliss.
 
  • #16
The majority of people in the world now believe the big bang is a fact,
they are ignorant.and do not look at evidence to the contrary.
They fell safer in a finite universe with a beginning .
Infinity frightens them.
Nevertheless the universe is infinite.
nasa is coming to the same conclusion by lokking at the geometry of the observable Universe.
 
  • #17
johninf said:
The majority of people in the world now believe the big bang is a fact,
they are ignorant.and do not look at evidence to the contrary.

Please, share with us this evidence you're so knowledgeable of.


nasa is coming to the same conclusion by lokking at the geometry of the observable Universe.

NASA has not found anything inconsistent with the Big Bang. The observable universe is flat, exactly as we've expected for over 20 years.
 
  • #18
SpaceTiger said:
Please, share with us this evidence you're so knowledgeable of.





Yes, please do...I'm all ears (eyes).
 
  • #19
Evidence favoring Big Bang theory: The cosmological microwave background radiation, primordial elemental abundance, WMAP power spectrum. large scale structure of the universe... Big Bang theory does not require a finite, or infinite, universe.
 
  • #20
If scientists are so blissfully happy, why are they so paranoid
when the big bang THEORY is critisized?
In reality they are afraid of infinity because it cannot be described mathematically.
The present math is inaccurate and innappropriate to infinity.
They are also afraid of the idea of no beggining!
 
  • #21
"The true size of the universe is probably much larger than the visible universe. The geometry of the universe suggests that it may have an infinite size and that it will expand forever. Even if the universe is not infinite, our visible universe must be a minute speck in a much larger totality."
NASA
If they concede that the univerese may be infinite NOW, then its a simple step in deduction to say that it always was.and always will be.
 
  • #22
"The cosmological microwave background radiation,"
is not supporting evidence of the big bang.
Background radiation is conatantly caused by an infinite number of supernova.
Its the ambient temperature of the universe.
 
  • #23
Simetra7 said:
... "We" was probably a poor choice of words. I meant the experts in the field. My understanding of cosmology is limited but i am fascinated by what i have read so far and am keen to learn more. I would be very interested in reading the article that you spoke of. Thanks.

"We" is a fine choice---meaning mainstream working astronomers and cosmologists. Let's include ourselves, as long as we are trying to understand the mainstream consensus of experts. I regret having sounded persnickety at that point.

Did you have a look at the Sci Am article---Lineweaver and Davis? If it was not right for you let us know and I or someone can look for other stuff about the current picture in cosmology.

right now in this thread we are getting some trouble because of a very common misconception----a lot of people don't understand the big bang set of models and think that any big bang picture has to be spatially finite. that just isn't so. From the very start----going back I think to the NINETEEN TWENTIES----people were proposing and studying expanding universe models which were spatially infinite and which started off with a singular hypersurface of infinite spatial extent

the singularity in the model has always been considered possible to be either infinite in extent or finite.

Nick (Tiger) who is a gradstudent going on to be a professional can correct me if I am wrong but this is pretty standard.

the popular misconception is that expansion has to start from a point, which it doesnt, mathematically an infinite thing can start expanding----so this is a "FAQ" type of thing we encounter over and over again at messageboards like PF. I think it comes from several reasons

1. the famous physicist John Wheeler CALLED it onset of expansion by the NAME of "big bang". He loves colorful terminology and is very imaginative. I think he also invented the term "black hole".
After a good name crops up it will often take off on its own and develop its own signif. in the public imagination.

2. people find it hard to imagine a "bang" that happens in an infinite region, they picture some comicbook explosion all emanating from one point. It is a verbal thing where the original mathematical idea gets lost and a verbal preconception dominates.

3. another verbal trouble comes from the word "singularity". In mathematics a singularity can occur at an infinite set of points. It means a PLACE WHERE THE MODEL BREAKS DOWN and fails to compute, often because it starts giving infinite or otherwise unreasonable answers, or no answers.

the classical 1915 Einstein model fails to compute right at the beginning of expansion, so that is called a singularity. It also fails to compute right around the center of a black hole.

but singularity does not mean "single point". Nobody who knows what they are talking about ever said that universe expansion has to begin at a single point, or even at a finite set of points. IT COULD but that hasnt been settled yet. It could also very well begin at an infinite set.

even a black hole singularity does not have to be a single point, in some models it is a ring (I find this hard to picture but mention it only because it is just a common truism that singularties do not in general consist of single points. It is only the WORD that gives people that idea.)

instead of meaning "single point" a singularity is an "oddity" or "peculiarity" that happens when you push a model to the limit of where it applies and it breaks down.

in some proposed new cosmologies (e.g. Loop Quantum Cosmology) the big bang singularity is smoothed out and spacetime evolution extends back to an earlier contracting phase. Eventually something like this will probably become mainstream----some improved theory which does NOT fail at the beginning of expansion will check out and be accepted by cosmologists and will replace the classical 1915 Einstein based cosmology.
then the singularity (or failure) in the classical picture will be FIXED. this has happened in other situations---improved theories (like of the atom) eliminate singularities in older classical theories.

================
so don't be misled by the words "bang" and "singularity" into thinking that the mathematical model necessarily begins at a point or has to be spatially finite.

this is actually one of the most interesting questions in big bang cosmology!

there is a number Omega, which can be MEASURED, and for which the measured value is around 1.01 or 1.005 plus/minus something.

and the uncertainty is such that it could easily be exactly 1.000, in which case the universe might actually be of infinite spatial extent! and on a very large scale UNCURVED.

but if this number is slightly more than 1, say it is 1.005, then the universe can be very huge (much bigger than what has been observed so far) but still finite.

and we really don't know, this is one of the big questions in big bang cosmology, and why they sent up satellite observatories like COBE and WMAP----to measure Omega more precisely, to shrink down the errorbounds.

a lot of mainstream cosmologists seem to think Omega is exactly one (infinite bigbang, infinite universe) I guess just because the measurement gives an answer that is so close--maybe they think "it is so close to one, why shouldn't it be exactly one?" But in all honesty the issue is still undecided and there is still an errorbar and more accurate measurements need to be made.

Hope this is helpful, and not too long winded.
 
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  • #24
marcus said:
Did you have a look at the Sci Am article---Lineweaver and Davis? If it was not right for you let us know and I or someone can look for other stuff about the current picture in cosmology.


Yes I read the article and looked at the other links too. It shed some light on what is definitely a hard concept to get your head around. Any other stuff you could dig up would be much appreciated. Thanks.
 
  • #25
Simetra7 said:
Yes I read the article and looked at the other links too. It shed some light on what is definitely a hard concept to get your head around. Any other stuff you could dig up would be much appreciated. Thanks.

this is normally SpaceTiger's beat. or Chronos. keep asking specific questions and see if you can get some more suggested reading. I am going to retire to my usual haunts and not take up Astronomy room for now.
 
  • #26
Simetra7 said:
Yes I read the article and looked at the other links too. It shed some light on what is definitely a hard concept to get your head around. Any other stuff you could dig up would be much appreciated. Thanks.
For tutorials on cosmological concepts in the most widely-accepted views on cosmology and astrophysics, you can try Ned Wright at UCLA:

http://www.astro.ucla.edu/~wright/cosmolog.htm

He props up alternate theories and concepts like straw-men and knocks them down with concepts from the "concordance view" of physics, sometimes more convincingly than others. It is a good place to visit to see how concepts in physics are developed and tested and how experiments and observations can place constraints on theory.
 
  • #27
johninf said:
"The true size of the universe is probably much larger than the visible universe. The geometry of the universe suggests that it may have an infinite size and that it will expand forever. Even if the universe is not infinite, our visible universe must be a minute speck in a much larger totality."
NASA
If they concede that the univerese may be infinite NOW, then its a simple step in deduction to say that it always was.and always will be.
The universe cannot be infinite in extent. That would violate causality. For if the universe were infinite in extent, then you could never trace the cause for its existence, and that would deny any reasonable explanation for its existence.
 
  • #28
Mike2 said:
The universe cannot be infinite in extent. That would violate causality. For if the universe were infinite in extent, then you could never trace the cause for its existence, and that would deny any reasonable explanation for its existence.
Thats a pretty silly assertion, Mike2. If you want to say "god made the universe', I would expect you to show not only how god made the universe, but also to explain how god came to be... This is not a trivial exercise...it is key. You may reject the concept of infinity, but if you do, you must define the qualities that constrain its finiteness.
 
  • #29
SpaceTiger said:
Indeed, ignorance is bliss.

Wrt what you were responding to, I'm assuming that
what johninf was talking about has been exhaustively
checked out and found to not as closely approximate
the observational record as the big bang - expansion
model. I'm assuming it because I'm also assuming
that I don't have the time to learn how to do the
comparison myself. :-)

Anyway, I've got a question. Somewhere in my
brief readings and musings about things cosmological
I've gotten the idea that the rate of expansion should be
connected somehow to the speed of light in a
vacuum.

Is there anything to this in the standard
cosmological model(s)?
 
  • #30
Expansion / inflation does not require a finite, or infinite universe. It also has nothing to do with the finite speed of light. The finite speed of light only constrains how much of the universe is visible to us at any given time after the Big Bang. And, as an added bonus, you can become greatly confused just thinking about that! [SpaceTiger has patiently tried, and I much appreciate his efforts to elevate my understanding on that point.]

Of course, that assumes there was a Big Bang. But you don't need a BB event to arrive at the same conclusion. Most cosmologists favor the BB model because it's the one that agrees with the preponderance of evidence.
 
  • #31
turbo-1 said:
Thats a pretty silly assertion, Mike2. If you want to say "god made the universe', I would expect you to show not only how god made the universe, but also to explain how god came to be... This is not a trivial exercise...it is key. You may reject the concept of infinity, but if you do, you must define the qualities that constrain its finiteness.
How did "God" enter the discussion?

The quantity that constrain its finiteness is cause and effect, premise and conclusion. If the universe is or has always been infinite in extent, then the only way this can happen is some sort of instant creation of an infinite emount of structure with no development whatsoever. When it all just instantaneously IS, then no form of cause and effect can possibly be traced. And so it defied any logical explanation or reasonable development. It is YOU who is supposing some sort of magic at work.
 
  • #32
Mike, I think it's pretty presumptuous to assume that our traditional notions of cause and effect apply to the beginning of time. Even if they did, I don't see any reason why the "cause" should have to exist in our spacetime. If either of those assumptions were wrong, so would be your conclusions.

It's really a waste of time to debate about it, though. We have about as much proof and understanding of an initial singularity as we do of God. Let's focus on those things that can conceivably be observed in the near future.
 
  • #33
marcus said:
this is normally SpaceTiger's beat. or Chronos. keep asking specific questions and see if you can get some more suggested reading. I am going to retire to my usual haunts and not take up Astronomy room for now.

I don't like this view of things. There is no "territory" on PF -- anyone who feels qualified to answer a question in any forum should do so. Besides, I'm a busy guy, so I won't be able to answer every question in as much detail as I would like. I've already cut back on my responses in other forums and, as the semester gets busier, I will likely have to cut back on my responses here as well.

Anyzok, I have no objections to what you said, nor do I have much to add. Johninf's criticisms of cosmology seem agenda-driven (religious perhaps?), so I suspect he has low standards for what constitutes an "understanding" of something.
 
  • #34
SpaceTiger said:
... I've already cut back on my responses in other forums and, as the semester gets busier, I will likely have to cut back on my responses here as well.
...

likely maybe----I know the pressure of grad school
but I nevertheless hope that you will not need to cut back.
It would diminish the interest of this forum considerably.
 
  • #35
Sherlock said:
Anyway, I've got a question. Somewhere in my
brief readings and musings about things cosmological
I've gotten the idea that the rate of expansion should be
connected somehow to the speed of light in a
vacuum.

Is there anything to this in the standard
cosmological model(s)?

I've not heard any theories relating the the speed of light to the rate of expansion of the universe, though I would not be surprised if they existed. It's certainly not a generic feature of the standard model. In general, there are some objects that recede from more quickly than the speed of light and some that recede from us more slowly.
 
  • #36
SpaceTiger said:
Mike, I think it's pretty presumptuous to assume that our traditional notions of cause and effect apply to the beginning of time. Even if they did, I don't see any reason why the "cause" should have to exist in our spacetime. If either of those assumptions were wrong, so would be your conclusions.

It's really a waste of time to debate about it, though. We have about as much proof and understanding of an initial singularity as we do of God. Let's focus on those things that can conceivably be observed in the near future.
Actually, I wasn't arguing against time being infinite. I was only arguing against space being infinite because it would either take an infinite time to get that big or it would have to be created all in an instant. In either case any understanding of how things evolved would be lost in a infinite progression into the past.

I do make an exception: that the universe started in the infinite past at an infinitesimal size. If the exponential expansion of inflation is true, then exponentials decrease to zero only in the infinite past. With no, or very little structure presumed at the infinitesimally small, cause and effect is not lost in instant complexity.
 
  • #37
Chronos said:
Expansion / inflation does not require a finite, or infinite universe. It also has nothing to do with the finite speed of light. The finite speed of light only constrains how much of the universe is visible to us at any given time after the Big Bang. And, as an added bonus, you can become greatly confused just thinking about that! [SpaceTiger has patiently tried, and I much appreciate his efforts to elevate my understanding on that point.]

Of course, that assumes there was a Big Bang. But you don't need a BB event to arrive at the same conclusion. Most cosmologists favor the BB model because it's the one that agrees with the preponderance of evidence.
I think inflation necessitates a finite universe. For it is assumed to grow, presuming that it was originally small, and has not grown to infinity yet.

Some things about inflation confuse me. The universe is supposed to be much bigger than our present cosmological event horizon will allow us to see. (60 e-folds bigger, as I have read somewhere, whatever e-folds are). But we can presumably see back to the time when atom first formed and light could travel without hinderance, the CMBR. How big was the universe at the time of last scattering? Are we seeing all of the surface of last scattering, or just part of it? Are there other places in the universe where last scattering occurred but we will never see because it is beyond our cosmological event horizon?
 
  • #38
An infinite universe has maddening paradoxes in plain view.
 
  • #39
Mike2 said:
Actually, I wasn't arguing against time being infinite. I was only arguing against space being infinite because it would either take an infinite time to get that big or it would have to be created all in an instant.

I know what you were suggesting. I'm telling you that your claim is incorrect. If you're talking about the observable universe, then you're right, it would take an infinite time to become infinite in size, but spacetime itself is under no such restriction. The big bang is not an explosion in a pre-existing space, so it does not have to be causally connected in our spacetime.

I don't really believe that the universe will end up being spatially infinite, but you can't rule it out with observations at this point.


If the exponential expansion of inflation is true, then exponentials decrease to zero only in the infinite past.

Traditional theories of inflation give it both a beginning and an end. The typical number of e-foldings in a theory describing the last inflationary period is around 50-100.
 
  • #40
Sherlock said:
Anyway, I've got a question. Somewhere in my
brief readings and musings about things cosmological
I've gotten the idea that the rate of expansion should be
connected somehow to the speed of light in a
vacuum.

Is there anything to this in the standard
cosmological model(s)?

In traditional cosmology, there is no connection between the expansion rate and the speed of light. Very distant galaxies will recede from us at greater than the speed of light and closer ones will recede more slowly. The boundary at which vr=c (relative to us) is of little physical consequence.
 
  • #41
Mike2 said:
How big was the universe at the time of last scattering?

There are several ways to answer this question. If you mean the size of the observable universe, then the best way to estimate is to look at the first peak in the power spectrum of the CMB. That gives the approximate comoving horizon size at decoupling (another name for the last scattering era). It's at angular scales of ~1 degree, which corresponds to a comoving size ~300 times smaller than our observable universe.

Another way to answer it is to give the relative physical scale for the currently observable universe. This is given by the redshift of decoupling, which is ~1000. This means that the parts of the universe that are currently observable were contained in a volume 1000 times smaller at the time of decoupling.

Yet another way is to give the relative physical size of the horizon at decoupling to the horizon at present. To get this, you just multiply the above two numbers together and find that the horizon was 300,000 times smaller.

Finally, if you're asking about the physical size of the entire surface of last scattering, including the stuff we can't see, then nobody knows. Current models indicate that the universe is almost perfectly flat, so the surface of last scattering is likely much bigger than we can currently observe.


Are there other places in the universe where last scattering occurred but we will never see because it is beyond our cosmological event horizon?

If the next epoch of exponential expansion is permanent, then yes. If not, it's hard to say.
 
  • #42
SpaceTiger said:
In traditional cosmology, there is no connection between the expansion rate and the speed of light. Very distant galaxies will recede from us at greater than the speed of light and closer ones will recede more slowly.
Ok, that's what I'd expect to find.

SpaceTiger said:
The boundary at which vr=c (relative to us) is of little physical consequence.
Could one think of the speed of light as being a maximum
at/near the universal boundary and then dropping off
in some proportion as the distance from the boundary
increases. Sort of related to the 'stretching' of 'space'
due to expansion, which I would expect to maximize at the
boundary where expansion rate is largest (the
boundary being defined as the universal 'wave front'), and
then decrease as the distance from the boundary increases?
 
  • #43
Sherlock said:
Could one think of the speed of light as being a maximum
at/near the universal boundary and then dropping off
in some proportion as the distance from the boundary
increases. Sort of related to the 'stretching' of 'space'
due to expansion, which I would expect to maximize at the
boundary where expansion rate is largest (the
boundary being defined as the universal 'wave front'), and
then decrease as the distance from the boundary increases?

I'm not quite sure what you mean. The recession speed of galaxies increases with distance from the earth, eventually going well beyond the speed of light. There is a distance at which galaxies are receding at approximately the speed of light, but this distance is not important. If we were viewing the universe from another galaxy, the "sphere" inside which galaxies were receding at less than the speed of light would be different.

As for the expansion rate (parameterized by the Hubble constant), that's usually assumed to be independent of position, by the cosmological principle. The recession velocity of galaxies relative to us is not a measure of the expansion rate because it depends on distance. To first order:

v_r=H_0d

where H0 is hubble's constant and d is the distance from us.
 
  • #44
SpaceTiger said:
I know what you were suggesting. I'm telling you that your claim is incorrect. If you're talking about the observable universe, then you're right, it would take an infinite time to become infinite in size, but spacetime itself is under no such restriction. The big bang is not an explosion in a pre-existing space, so it does not have to be causally connected in our spacetime.
I'm not necessarily talking about causality in terms of the speed of light. I'm talking about causality in terms of one thing happening as the basis of events some time after that. Yes, inflation is supposed to have space expanding very very fast, so that most places are receding from other places faster than light. Still it was at some speed so that it is at least theoretically possible to trace the sequence of events that lead to the present condition. But if the universe were infinite in extent, then it would take an eternity to get there so that it would no longer be possible to trace the sequence of events that lead to it and we could not even in theory know what is the cuase of it all. Or the infinite universe was created instantaneously which again negates any possibility of tracing the sequence of events so that no theory of creation could ever possibly be proven.

SpaceTiger said:
Traditional theories of inflation give it both a beginning and an end. The typical number of e-foldings in a theory describing the last inflationary period is around 50-100.
Obviously I'm asking what the term "e-fold" is? Thank you.
 
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  • #45
SpaceTiger said:
I'm not quite sure what you mean.
I'm not either. :-) Cosmology is fascinating. I once
read a book called Frozen Star (or something like that), and
have picked up bits and pieces here and there. However,
I have only a very pedestrian, very naive apprehension of
the field. For example, I don't know what it means to say
(that is, how it's calculated) that some galaxies are moving
away from us at superluminal speeds.

Anyway, thanks (and to others too) for replying.

What's a good intro to the nuts and bolts of cosmological
model-making? Not too advanced, but I'm ok with algebra,
linear algebra, calculus, the usual intermediate stuff.
So, something along the lines of a more conceptual
intro -- but not just a popularization of it.

I haven't gotten around to reading all the journals
of the advisors and mentors here yet. This hasn't been
my main area of interest, but I can see how one could
get hooked on cosmology.

SpaceTiger said:
The recession speed of galaxies increases with distance from the earth, eventually going well beyond the speed of light. There is a distance at which galaxies are receding at approximately the speed of light, but this distance is not important. If we were viewing the universe from another galaxy, the "sphere" inside which galaxies were receding at less than the speed of light would be different.

As for the expansion rate (parameterized by the Hubble constant), that's usually assumed to be independent of position, by the cosmological principle. The recession velocity of galaxies relative to us is not a measure of the expansion rate because it depends on distance. To first order:

v_r=H_0d

where H0 is hubble's constant and d is the distance from us.
That the recession velocity increases with distance was
part of my consideration. I assumed that the isotropic expansion
rate also increases with distance from us, and that the speed of
light in vacuum also increases with distance from us. Then,
assuming a finite, bounded universe, the expansion rate (and the
speed of light) would reach a maximum at the boundary. And,
then I wondered if the (finite) expansion rate could be related
to the finite propagational rates of all the phenomena that
we're familiar with, including light -- in some limiting sense.
Which all had to do with *first* wondering about whether it
would be possible for an object inside our universe to
accelerate beyond the boundary, and also about what
the physical basis for inertia might be.

As you can see, this is a bit ... scattered. I think I really
need that intro. :-)
 
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  • #46
Mike2 said:
I'm not necessarily talking about causality in terms of the speed of light. I'm talking about causality in terms of one thing happening as the basis of events some time after that.

Yes, but how does one apply those principles to the beginning of time? What came first, the cause or the effect? Again, I don't think it matters what speed you give to causality, it still doesn't make sense to apply these arguments to the initial singularity. The creation of spacetime itself is not an event within spacetime, so we can't say anything about what limits it.


Obviously I'm asking what the term "e-fold" is? Thank you.

My apologies, I overlooked that part of your post. An "e-fold" is just an increase in the scale factor (physical scale) of the universe by a factor of e.
 
  • #47
Sherlock said:
What's a good intro to the nuts and bolts of cosmological
model-making? Not too advanced, but I'm ok with algebra,
linear algebra, calculus, the usual intermediate stuff.
So, something along the lines of a more conceptual
intro -- but not just a popularization of it.

Well, unfortunately, I think there's a paucity of good textbooks at that level, but I can recommend the following:

 
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  • #48
SpaceTiger said:
The recession speed of galaxies increases with distance from the earth, eventually going well beyond the speed of light. There is a distance at which galaxies are receding at approximately the speed of light, but this distance is not important. If we were viewing the universe from another galaxy, the "sphere" inside which galaxies were receding at less than the speed of light would be different.


I'm having some trouble understanding the exact meaning of the recession speed of galaxies. It has been stated in earlier posts in this thread that these galaxies are not actually speeding away from us but rather the space between us and them is expanding. Does this mean that the galaxies themselves are in effect "at rest", while space stretches out all around them, and if so is the recession speed only a perceived observation which depends entirely on the distance the galaxy is viewed from? What i am trying to say is, how can something be at rest, and have a velocity at the same time?
 
  • #49
Simetra7 said:
I'm having some trouble understanding the exact meaning of the recession speed of galaxies. It has been stated in earlier posts in this thread that these galaxies are not actually speeding away from us but rather the space between us and them is expanding.

You're correct, I'm being sloppy with my terminology. The physical distance between us and them is increasing, but this isn't due to motion in space, but rather the expansion of space itself.


Does this mean that the galaxies themselves are in effect "at rest"

On average, yes, though they do usually have an extra velocity due to influences from nearby objects.


What i am trying to say is, how can something be at rest, and have a velocity at the same time?

Objects move through space according to the rules set down in general relativity, but those rules do not apply to the space(time) itself. Remember that this "motion" that they appear to have from our point of view is only a consequence of where we're viewing them from. If we were on another galaxy, they'd appear to be moving in a different direction.
 
  • #50
SpaceTiger said:
Yes, but how does one apply those principles to the beginning of time? What came first, the cause or the effect? Again, I don't think it matters what speed you give to causality, it still doesn't make sense to apply these arguments to the initial singularity. The creation of spacetime itself is not an event within spacetime, so we can't say anything about what limits it.
I think we are in agreement here. You say "beginning of spacetime". And we talk about "expansion". So doesn't that in and of itself imply that the universe cannot be infinite - that expansion would take forever to get to infinity?

SpaceTiger said:
My apologies, I overlooked that part of your post. An "e-fold" is just an increase in the scale factor (physical scale) of the universe by a factor of e.
So 60 e-folds is a scale factor of e^60?
 

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