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Red shift and homogeneity
Google seems to be unable to show threads with more
than 250 posts so I'm reposting my reply to Jim as a new thread at Jim's request. My apologies to those of you who have seen it before. George "Jim Greenfield" wrote in message om... ... I tried it myself on the good old graph paper, as follows: I marked 10 x 10 boxes with 2 blanks between each marked box. I then on page 2 repeated with 3 blanks- Expanded by 50% OK? (still homogenous) You have filled in some squares and left others blank, right? If so the distance between the centres of filled squares has increased from 3 units to 4 units or 33.3% but the approach is fine. If you had marked dots at every second or third intersection then it would be 50%. I placed page 1 over page 2, and poked a pin through each spot. Then I drew lines from each original position, to the expanded position---- and put the razor away! Because without making a selection, the expansion had shown by default all proceeding from the center.(all lines point to it) But you did make a selection ;-) I didn't se you do it but I can make some guesses: Firstly, I guess you lined up the edges of the paper. Secondly, when you had to match a square on one sheet to the corresponding square representing the same cluster of galaxies on the other sheet, I guess you selected the centre square on one to correspond to the centre square on the other. So somehow by making your red and green selections, and expanding from them, you are (accidently) nominating those as the center, before beginning. Yes (deliberately), just as you (perhaps accidentally) nominated the square at the centre of the paper to be the square at the centre of the observable universe. Now the essential feature of this demonstration is not that you can find a single centre, it comes from comparing two sets of lines made under different assumptions. You have your first set but nothing to compare so now you need to do the rest of the experiment. Get a different coloured pen and draw another set of lines but this time assume that the centre filled square on the first sheet corresponds to a filled square about eight squares from the centre on the second sheet, or, if you want to have the sheets represent the observable universe, assume we are moving and offset one sheet by eight squares when laying it over the other. It might be harder to keep track of which squares to join but I'm sure you can handle it. Of course the green and red were still separating in my diagram, but as I had expanded the whole (Universe) they were not at the indicated center. Red and green would still exhibit red shift, but it would be a vector of the real situation (if expansion was occuring) So I am still leaning to the view that red shift and expansion are the product of an intriguing illusion. (For now take it that my 100 spots represent the entire 13.7 universe, so taking a piece of it arbitrarily wont wash) But the 13.7 (whatever) that we can see is already just a tiny piece of the whole, an infinitesimal piece if the universe is infinite. I'm afraid I am still stuck with the conclusion that if distant galaxies are moving away faster than closer ones, then our (observed) universe is getting less dense further out, and isotropy, but NOT homo can be preserved under expansion. Ned Wright: "To say that the universe is homogenous means that any measurable property of the universe is the same every where". (Which brings us back to that red shift cause, as expansion causes lessening of density, and if galaxies further out are moving away faster than those close to us, then there is a differential in density occurring) While you are looking at these sheets Jim, there is something else you can do since they are nicely regular. I want you to draw a square box roughly in the centre of your first sheet 12 units on each edge. If I understand your description there should be 16 filled squares inside. Draw another box the same size at the centre of the second sheet and there should be 9 filled squares inside. The density (squares per box) has reduced to 9/16 of the earlier value (in 3D it would have reduced by 27/128). The lines should show that 7 squares have moved outside but the 9 remaining were previously inside. Now try that at the edge of the paper with the same size of boxes. You should find the same change in density but this time (depending on the size of the paper) most of the 16 original squares will have 'moved' out of the box to be replaced by 9 new squares that have moved in. The clusters represented by these squares are moving quickly out from your chosen centre but the density change is identical. Now imagine your sheet was just a sample of a whole sheet a billion miles on each edge. If you consider two boxes the same size as those you have drawn but nearly a billion miles away can you see the density before and after would still be the same as at the centre? I hope that illustrates that expansion maintains homogeneity. That is the BB model but when you then take into account the speed of light what we observe of course should be squares with three blanks between nearby and only two blanks between at greater distances. Other aspects make it a difficult thing to measure though. Jim, I may not be able to reply for a few days, we have an exhibition that will tie us up until Sunday. best regards George |
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Red shift and homogeneity
"George Dishman" wrote in message ...
Thanks very much for troubling to get restarted (I've missed a few posts 280/300, but our discussion is about where I was cut off) "Jim Greenfield" wrote in message om... ... I tried it myself on the good old graph paper, as follows: I marked 10 x 10 boxes with 2 blanks between each marked box. I then on page 2 repeated with 3 blanks- Expanded by 50% OK? (still homogenous) You have filled in some squares and left others blank, right? If so the distance between the centres of filled squares has increased from 3 units to 4 units or 33.3% but the approach is fine. If you had marked dots at every second or third intersection then it would be 50%. Yes to both I placed page 1 over page 2, and poked a pin through each spot. Then I drew lines from each original position, to the expanded position---- and put the razor away! Because without making a selection, the expansion had shown by default all proceeding from the center.(all lines point to it) But you did make a selection ;-) I didn't se you do it but I can make some guesses: Firstly, I guess you lined up the edges of the paper. Secondly, when you had to match a square on one sheet to the corresponding square representing the same cluster of galaxies on the other sheet, I guess you selected the centre square on one to correspond to the centre square on the other. This may be going to the philosophical. I was trying to picture the 'whole' universe on my graph paper- I can't go 'outside the box', because there is nowhere to go. IIUC, the CMBR origin is claimed to be the outer limit of the universe, originating from the BB before the formation of the first galaxies. So somehow by making your red and green selections, and expanding from them, you are (accidently) nominating those as the center, before beginning. Yes (deliberately), just as you (perhaps accidentally) nominated the square at the centre of the paper to be the square at the centre of the observable universe. Now the essential feature of this demonstration is not that you can find a single centre, it comes from comparing two sets of lines made under different assumptions. You have your first set but nothing to compare so now you need to do the rest of the experiment. Get a different coloured pen and draw another set of lines but this time assume that the centre filled square on the first sheet corresponds to a filled square about eight squares from the centre on the second sheet, or, if you want to have the sheets represent the observable universe, assume we are moving and offset one sheet by eight squares when laying it over the other. It might be harder to keep track of which squares to join but I'm sure you can handle it. As above, if I was considering a portion of the universe, you are probably correct, and I, as did you, made a defacto selection for 'the center'. Of course the green and red were still separating in my diagram, but as I had expanded the whole (Universe) they were not at the indicated center. Red and green would still exhibit red shift, but it would be a vector of the real situation (if expansion was occuring) So I am still leaning to the view that red shift and expansion are the product of an intriguing illusion. (For now take it that my 100 spots represent the entire 13.7 universe, so taking a piece of it arbitrarily wont wash) But the 13.7 (whatever) that we can see is already just a tiny piece of the whole, an infinitesimal piece if the universe is infinite. If BBs are accepting the possibility of an infinite (3D) universe, doesn't that kill off the CMBR arguement as evidence? If there is more 'out there' beyond the origin of the perceived (til now) CMBR, that theory is destroyed. I'm afraid I am still stuck with the conclusion that if distant galaxies are moving away faster than closer ones, then our (observed) universe is getting less dense further out, and isotropy, but NOT homo can be preserved under expansion. Ned Wright: "To say that the universe is homogenous means that any measurable property of the universe is the same every where". (Which brings us back to that red shift cause, as expansion causes lessening of density, and if galaxies further out are moving away faster than those close to us, then there is a differential in density occurring) I want you to draw a square box roughly in the centre of your first sheet 12 units on each edge. If I understand your description there should be 16 filled squares inside. Draw another box the same size at the centre of the second sheet and there should be 9 filled squares inside. The density (squares per box) has reduced to 9/16 of the earlier value (in 3D it would have reduced by 27/128). The lines should show that 7 squares have moved outside but the 9 remaining were previously inside. Now try that at the edge of the paper with the same size of boxes. You should find the same change in density but this time (depending on the size of the paper) most of the 16 original squares will have 'moved' out of the box to be replaced by 9 new squares that have moved in. The clusters represented by these squares are moving quickly out from your chosen centre but the density change is identical. Now imagine your sheet was just a sample of a whole sheet a billion miles on each edge. If you consider two boxes the same size as those you have drawn but nearly a billion miles away can you see the density before and after would still be the same as at the centre? I hope that illustrates that expansion maintains homogeneity. That is the BB model but when you then take into account the speed of light what we observe of course should be squares with three blanks between nearby and only two blanks between at greater distances. Other aspects make it a difficult thing to measure though. As above, my original "Popping" was aimed at the idea of the universe being a certain size, and formed my arguements around that. If we are going to step "outside the box" in order to understand the implications and views of being at other locations, then I am inclined to feel my position vindicated. How is this? I marked adjacent boxes ABCDEF on my graph paper. Then I moved B one space. But red shift indicates that when F was at position B (before expansion) it was moving a lot faster (say 2 squares in the same interval- which is of course exagerated). Now when I do this exercise a few more times, using all the letters, I find that density of ABCD, is less than CDEF (larger spread) So I am afraid that I still have this (belief?) that an expansion, considering ALL the universe, by default would cause a change in homogeneity. Other posters refer to light being at a different velocity when the universe was 'smaller', which is claimed to upset this view. Also that the expansion of space drags the galaxies along, rather than them travelling through space. You might have to try convincing me along those lines, in order to overcome my current skepticism ref expansion. Best regards, Jim G (I may add/subtract some of this before your return) |
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Red shift and homogeneity
"Jim Greenfield" wrote in message ... "George Dishman" wrote in message ... Thanks very much for troubling to get restarted (I've missed a few posts 280/300, but our discussion is about where I was cut off) No problem. I placed page 1 over page 2, and poked a pin through each spot. Then I drew lines from each original position, to the expanded position---- and put the razor away! Because without making a selection, the expansion had shown by default all proceeding from the center.(all lines point to it) But you did make a selection ;-) I didn't se you do it but I can make some guesses: Firstly, I guess you lined up the edges of the paper. Secondly, when you had to match a square on one sheet to the corresponding square representing the same cluster of galaxies on the other sheet, I guess you selected the centre square on one to correspond to the centre square on the other. This may be going to the philosophical. I was trying to picture the 'whole' universe on my graph paper- I can't go 'outside the box', because there is nowhere to go. It is not philosophical in the least, it is fundamental. Seeing the map as the 'whole' doesn't work because the fact that you have a finite piece of paper imposes edges on the map where there are no edges in an infinite universe. No matter how far you go, there is always an infinite amount beyond the limit of your map, or to put it another way, outside your box is just more of the same as is inside. IIUC, the CMBR origin is claimed to be the outer limit of the universe, originating from the BB before the formation of the first galaxies. Yes and no. It is the limit of how far we can see but not the limit of the universe. It does come from before the earliest galaxies were formed but not from further away. More on this later. So somehow by making your red and green selections, and expanding from them, you are (accidently) nominating those as the center, before beginning. Yes (deliberately), just as you (perhaps accidentally) nominated the square at the centre of the paper to be the square at the centre of the observable universe. Now the essential feature of this demonstration is not that you can find a single centre, it comes from comparing two sets of lines made under different assumptions. You have your first set but nothing to compare so now you need to do the rest of the experiment. Get a different coloured pen and draw another set of lines but this time assume that the centre filled square on the first sheet corresponds to a filled square about eight squares from the centre on the second sheet, or, if you want to have the sheets represent the observable universe, assume we are moving and offset one sheet by eight squares when laying it over the other. It might be harder to keep track of which squares to join but I'm sure you can handle it. As above, if I was considering a portion of the universe, you are probably correct, and I, as did you, made a defacto selection for 'the center'. Exactly, but because you have a finite piece of paper, mapping only a small portion is the best you can do. If BBs are accepting the possibility of an infinite (3D) universe, It's not a question of accepting it, Eddington came up with the balloon analogy in 1933, I guess because he was fed up trying to explain that there wasn't a centre or bounds. The possibility that space is infinite has been part of the idea since the start and astronomers have been trying to explain that to people since before you were born (unless you are over 70)! doesn't that kill off the CMBR arguement as evidence? If there is more 'out there' beyond the origin of the perceived (til now) CMBR, that theory is destroyed. Not at all, it is still consistent with the model. I cribbed this from Ned Wright's page: http://www.dishman.me.uk/George/Cosm...nsion/cmbr.gif The original is from this page: http://www.astro.ucla.edu/~wright/cosmo_03.htm#MSTD I want you to draw a square box roughly in the centre of your first sheet 12 units on each edge. If I understand your description there should be 16 filled squares inside. Draw another box the same size at the centre of the second sheet and there should be 9 filled squares inside. The density (squares per box) has reduced to 9/16 of the earlier value (in 3D it would have reduced by 27/128). The lines should show that 7 squares have moved outside but the 9 remaining were previously inside. Now try that at the edge of the paper with the same size of boxes. You should find the same change in density but this time (depending on the size of the paper) most of the 16 original squares will have 'moved' out of the box to be replaced by 9 new squares that have moved in. The clusters represented by these squares are moving quickly out from your chosen centre but the density change is identical. Now imagine your sheet was just a sample of a whole sheet a billion miles on each edge. If you consider two boxes the same size as those you have drawn but nearly a billion miles away can you see the density before and after would still be the same as at the centre? I hope that illustrates that expansion maintains homogeneity. That is the BB model but when you then take into account the speed of light what we observe of course should be squares with three blanks between nearby and only two blanks between at greater distances. Other aspects make it a difficult thing to measure though. As above, my original "Popping" was aimed at the idea of the universe being a certain size, and formed my arguements around that. If we are going to step "outside the box" in order to understand the implications and views of being at other locations, then I am inclined to feel my position vindicated. If it was of a finite size and bounded then yes you would have been correct all along, but the BB has always been unbounded. How is this? I marked adjacent boxes ABCDEF on my graph paper. Then I moved B one space. But red shift indicates that when F was at position B (before expansion) it was moving a lot faster (say 2 squares in the same interval- which is of course exagerated). Now when I do this exercise a few more times, using all the letters, I find that density of ABCD, is less than CDEF (larger spread) Suppose you marked every third square with a letter on your first sheet. That becomes every fourth square on the second sheet. Now suppose we align B like this: A B C D E F A B C D E F Clearly the letters more distant from B seem to be moving faster. C is moving at speed 1, D at 2 and so on. Now think of that as two groups, ABC and DEF, and think of the change as being composed of two effects, motion and expansion of the groups. Group ABC has not moved as a whole since the speeds are 1 to the left, 0 and 1 to the right, average 0. The group is expanding since A and C are moving away from B at speed 1 in opposite directions. Group DEF on the other hand is moving at speed 3, 2 for D, 3 for E and 4 for F so 3 on average. DEF is also expanding because D is moving away from E at speed 1 to the left while F is moving at speed 1 to the right. The key here is that both groups are expanding at the same rate, 1 square in the interval for A/C and D/F even though group DEF is moving rapidly but group ABC is not. Now align E: A B C D E F A B C D E F This time it is group ABC that is moving rapidly to the left while group DEF is static. In fact it doesn't matter what letter you align, A and C will be expanding away from B in exactly the same way that D and F are expanding away from E. The density has gone down for 0.33 letters per square to 0.25 letters per square everywhere and no choice of alignment will affect that. So I am afraid that I still have this (belief?) that an expansion, considering ALL the universe, by default would cause a change in homogeneity. Try to imagine your piece of paper as just a fraction of the whole. No matter how big it is it is no different anywhere to what you see on your sample. Think of a letter as far away as you can imagine, the letters adjacent to it will be expanding away from it by 1 square in the interval and the density in that region has gone down from 0.33 to 0.25. If it was 0.33 everywhere and it is now 0.25 everywhere, homogeneity has been preserved. Other posters refer to light being at a different velocity when the universe was 'smaller', which is claimed to upset this view. There has been speculation about that but nothing believable. The possibility exists so people do tests to look for any variation when the opportunity arises but so far it is mainly cranks pushing their own ideas. Also that the expansion of space drags the galaxies along, rather than them travelling through space. You might have to try convincing me along those lines, in order to overcome my current skepticism ref expansion. If you ever become conversant with GR, I will have to backtrack on some of what I am saying. Until then, I feel it is better to explain it in terms you understand, as close to Newtonian physics as I can manage. However, I will be open about this and suggest you read the following threads. These are experts who know the subject well, the question is not the theory but how to explain it: http://makeashorterlink.com/?V5C032776 http://makeashorterlink.com/?U2D051776 The essence is that the different ways of explaining it can be considered equivalent under certain circumstances. George |
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Red shift and homogeneity
"George Dishman" wrote in message ...
It's not a question of accepting it, Eddington came up with the balloon analogy in 1933, I guess because he was fed up trying to explain that there wasn't a centre or bounds. The possibility that space is infinite has been part of the idea since the start and astronomers have been trying to explain that to people since before you were born (unless you are over 70)! I admit I still cant quite understand the BB argument as it seems to have contradictions. Recently I read a quote saying something like this... that in a picture of the universe at a certain era early in the big bang the universe was only 183,000million miles across.etc.. I forget the source but it was a reputable theorists describing the BB . Yet how could he give a definite width to the universe when your argument and indeed now it seems a lot of different people are saying the universe was and is always infinite in size? The two explanations seem contradictory. (I`m sorry that I cant remember the quote and its source ) Also I am certain that the eddington ballon idea used to be explained in terms of the whole ballon being a finite size starting off as a singularity of infinitely small size and expanding within a empty vacuum. Hence the point at which the calculated density at so many million miles in width became less dense enouigh for emr to propogate. Sean |
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Red shift and homogeneity
"sean" wrote in message om... "George Dishman" wrote in message ... It's not a question of accepting it, Eddington came up with the balloon analogy in 1933, I guess because he was fed up trying to explain that there wasn't a centre or bounds. The possibility that space is infinite has been part of the idea since the start and astronomers have been trying to explain that to people since before you were born (unless you are over 70)! I admit I still cant quite understand the BB argument as it seems to have contradictions. Since it has to use GR, some of it may seem unintuitive. It is certainly difficult to explain it in a Newtonian style (as will become apparent as the conversation if Jim moves on). If you think there are problems, this a reasonable place to ask. You may even find you are right, there is much that is not yet known. Recently I read a quote saying something like this... that in a picture of the universe at a certain era early in the big bang the universe was only 183,000million miles across.etc.. I forget the source but it was a reputable theorists describing the BB . They are using "the universe" in the sense of "the observable universe" which in a way is quite scientific. Discussion of things that cannot be observed tends to be classed as speculation and science is restricted to what can be measured, but cosmology models the whole based on what can be seen (the angular power spectrum of the CMBR for example) so crosses the usual bound. Yet how could he give a definite width to the universe when your argument and indeed now it seems a lot of different people are saying the universe was and is always infinite in size? The two explanations seem contradictory. (I`m sorry that I cant remember the quote and its source ) He just means the bit we can see within the whole. Also I am certain that the eddington ballon idea used to be explained in terms of the whole ballon being a finite size starting off as a singularity of infinitely small size and expanding within a empty vacuum. No, the 2D surface of the balloon has always represented the 3D volume of the vacuum. Hence the point at which the calculated density at so many million miles in width became less dense enouigh for emr to propogate. It is like the expansion of the gas in the cylinder of a car, as it expands, it cools and when it becomes like the exhaust gas it is transparent. I believe early expansion was adiabatic in fact. George |
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Red shift and homogeneity
"George Dishman" wrote in message ...
Recently I read a quote saying something like this... that in a picture of the universe at a certain era early in the big bang the universe was only 183,000million miles across.etc.. I forget the source but it was a reputable theorists describing the BB . They are using "the universe" in the sense of "the observable universe" which in a way is quite scientific. Discussion of things that cannot be observed tends to be classed as speculation and science is restricted to what can be measured, but cosmology models the whole based on what can be seen (the angular power spectrum of the CMBR for example) so crosses the usual bound. Yet how could he give a definite width to the universe when your argument and indeed now it seems a lot of different people are saying the universe was and is always infinite in size? The two explanations seem contradictory. (I`m sorry that I cant remember the quote and its source ) He just means the bit we can see within the whole. To me though that implies that for the earlier universe when it was 183,000million light years across and denser it must have had a different smaller value for infinity. As it has expanded since then it is now larger according to BB and therefore is bigger than the infinity of the earlier universe. That gives two values for infinity. How can infinity be larger than infinity? The BB argument can only work if the earlier universe was smaller than the infinite universe we have now. And if it was smaller than it could not have been infinite nor could it for that matter have expanded fast enough to have become infinite now as it is impossible to go from a finite value to an infinite value. (except maybe in an abstract mathematical world) It is the trick of giving two values of infinity that I find to be contradictory. Sean |
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Red shift and homogeneity
"sean" wrote in message m... "George Dishman" wrote in message ... Recently I read a quote saying something like this... that in a picture of the universe at a certain era early in the big bang the universe was only 183,000million miles across.etc.. I forget the source but it was a reputable theorists describing the BB . They are using "the universe" in the sense of "the observable universe" which in a way is quite scientific. Discussion of things that cannot be observed tends to be classed as speculation and science is restricted to what can be measured, but cosmology models the whole based on what can be seen (the angular power spectrum of the CMBR for example) so crosses the usual bound. Yet how could he give a definite width to the universe when your argument and indeed now it seems a lot of different people are saying the universe was and is always infinite in size? The two explanations seem contradictory. (I`m sorry that I cant remember the quote and its source ) He just means the bit we can see within the whole. To me though that implies that for the earlier universe when it was 183,000million light years across and denser it must have had a different smaller value for infinity. You cannot place a value on infinity. If it could be given a value, it would be finite. As it has expanded since then it is now larger according to BB and therefore is bigger than the infinity of the earlier universe. That gives two values for infinity. How can infinity be larger than infinity? The BB argument can only work if the earlier universe was smaller than the infinite universe we have now. And if it was smaller than it could not have been infinite nor could it for that matter have expanded fast enough to have become infinite now as it is impossible to go from a finite value to an infinite value. (except maybe in an abstract mathematical world) It is the trick of giving two values of infinity that I find to be contradictory. As Jim said, many people have trouble handling the concept of the infinite. If space 'goes on forever' in the sense of distance, you cannot have bigger and smaller versions of 'forever'. Space never ends and you cannot have degrees of never. Let me also just note that this is still just a possibility and there are other variants of BB model that are not infinite, we really don't know. George |
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Red shift and homogeneity
"George Dishman" wrote in message ...
As Jim said, many people have trouble handling the concept of the infinite. If space 'goes on forever' in the sense of distance, you cannot have bigger and smaller versions of 'forever'. Space never ends and you cannot have degrees of never. Let me also just note that this is still just a possibility and there are other variants of BB model that are not infinite, we really don't know. George Yes I agree we cant have bigger and smaller versions of infinity. Thats actually the point I am trying to make.It is the BB concept that seems to suggest that there are bigger and smaller versions of infinity by saying that space is expanding in the BB model (hence the redshift) from an already infinite singularity.But how can an infinite space expand? We both agree that foever (infinity) cant be bigger or smaller. Sean |
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Red shift and homogeneity
"sean" wrote in message om... "George Dishman" wrote in message ... As Jim said, many people have trouble handling the concept of the infinite. If space 'goes on forever' in the sense of distance, you cannot have bigger and smaller versions of 'forever'. Space never ends and you cannot have degrees of never. Let me also just note that this is still just a possibility and there are other variants of BB model that are not infinite, we really don't know. George Yes I agree we cant have bigger and smaller versions of infinity. Thats actually the point I am trying to make.It is the BB concept that seems to suggest that there are bigger and smaller versions of infinity by saying that space is expanding in the BB model (hence the redshift) from an already infinite singularity.But how can an infinite space expand? We both agree that foever (infinity) cant be bigger or smaller. Why shouldn't it expand? The only way it could be stopped would be if the most distant parts were up against something, but for an infinite universe there is always more space beyond. The words bigger and smaller just don't apply, it starts infinite, it expands and it is still infinite. If you want to take a Newtonian view, I explained to Jim some time ago, every galaxy moves away from us to a place recently vacated by a more distant galaxy. There is never a galaxy that doesn't have an infinite number of more distant galaxies already beyond it. I think it's one of those things that needs a bit of time for your mind to adapt to. We are not accustomed to meeting the infinite in real life. George |
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Red shift and homogeneity
"George Dishman" wrote in message ...
"Jim Greenfield" wrote in message ... "George Dishman" wrote in message ... IIUC, the CMBR origin is claimed to be the outer limit of the universe, originating from the BB before the formation of the first galaxies. Yes and no. It is the limit of how far we can see but not the limit of the universe. It does come from before the earliest galaxies were formed but not from further away. More on this later. In which discussion I will ask, why then can we not see beyond 14bly? Now the essential feature of this demonstration is not that you can find a single centre, it comes from comparing two sets of lines made under different assumptions. You have your first set but nothing to compare so now you need to do the rest of the experiment. Get a different coloured pen and draw another set of lines but this time assume that the centre filled square on the first sheet corresponds to a filled square about eight squares from the centre on the second sheet, or, if you want to have the sheets represent the observable universe, assume we are moving and offset one sheet by eight squares when laying it over the other. It might be harder to keep track of which squares to join but I'm sure you can handle it. As above, if I was considering a portion of the universe, you are probably correct, and I, as did you, made a defacto selection for 'the center'. Exactly, but because you have a finite piece of paper, mapping only a small portion is the best you can do. If BBs are accepting the possibility of an infinite (3D) universe, It's not a question of accepting it, Eddington came up with the balloon analogy in 1933, I guess because he was fed up trying to explain that there wasn't a centre or bounds. The possibility that space is infinite has been part of the idea since the start and astronomers have been trying to explain that to people since before you were born (unless you are over 70)! doesn't that kill off the CMBR arguement as evidence? If there is more 'out there' beyond the origin of the perceived (til now) CMBR, that theory is destroyed. Not at all, it is still consistent with the model. I cribbed this from Ned Wright's page: http://www.dishman.me.uk/George/Cosm...nsion/cmbr.gif The original is from this page: http://www.astro.ucla.edu/~wright/cosmo_03.htm#MSTD I want you to draw a square box roughly in the centre of your first sheet 12 units on each edge. If I understand your description there should be 16 filled squares inside. Draw another box the same size at the centre of the second sheet and there should be 9 filled squares inside. The density (squares per box) has reduced to 9/16 of the earlier value (in 3D it would have reduced by 27/128). The lines should show that 7 squares have moved outside but the 9 remaining were previously inside. Now try that at the edge of the paper with the same size of boxes. You should find the same change in density but this time (depending on the size of the paper) most of the 16 original squares will have 'moved' out of the box to be replaced by 9 new squares that have moved in. The clusters represented by these squares are moving quickly out from your chosen centre but the density change is identical. Now imagine your sheet was just a sample of a whole sheet a billion miles on each edge. If you consider two boxes the same size as those you have drawn but nearly a billion miles away can you see the density before and after would still be the same as at the centre? I hope that illustrates that expansion maintains homogeneity. That is the BB model but when you then take into account the speed of light what we observe of course should be squares with three blanks between nearby and only two blanks between at greater distances. Other aspects make it a difficult thing to measure though. As above, my original "Popping" was aimed at the idea of the universe being a certain size, and formed my arguements around that. If we are going to step "outside the box" in order to understand the implications and views of being at other locations, then I am inclined to feel my position vindicated. If it was of a finite size and bounded then yes you would have been correct all along, but the BB has always been unbounded. How is this? I marked adjacent boxes ABCDEF on my graph paper. Then I moved B one space. But red shift indicates that when F was at position B (before expansion) it was moving a lot faster (say 2 squares in the same interval- which is of course exagerated). Now when I do this exercise a few more times, using all the letters, I find that density of ABCD, is less than CDEF (larger spread) Suppose you marked every third square with a letter on your first sheet. That becomes every fourth square on the second sheet. Now suppose we align B like this: A B C D E F A B C D E F No. My letters spread as A B C D E F (exagerated, but in yor spread, B is travelling the same speed as F, which is not red shift observed) Clearly the letters more distant from B seem to be moving faster. C is moving at speed 1, D at 2 and so on. Now think of that as two groups, ABC and DEF, and think of the change as being composed of two effects, motion and expansion of the groups. Group ABC has not moved as a whole since the speeds are 1 to the left, 0 and 1 to the right, average 0. The group is expanding since A and C are moving away from B at speed 1 in opposite directions. Group DEF on the other hand is moving at speed 3, 2 for D, 3 for E and 4 for F so 3 on average. DEF is also expanding because D is moving away from E at speed 1 to the left while F is moving at speed 1 to the right. The key here is that both groups are expanding at the same rate, 1 square in the interval for A/C and D/F even though group DEF is moving rapidly but group ABC is not. Now align E: A B C D E F A B C D E F This time it is group ABC that is moving rapidly to the left while group DEF is static. In fact it doesn't matter what letter you align, A and C will be expanding away from B in exactly the same way that D and F are expanding away from E. The density has gone down for 0.33 letters per square to 0.25 letters per square everywhere and no choice of alignment will affect that. I think that you have placed your galaxies at distances dictated by c, but have changed your observation points (from galaxy to galaxy) INSTANTLY. This has allowed the appearance that the view would be the same anywhere, when if the relocation was done similarly to the arriving images (at c), I don't think your spread of maintained homogeneity stands up. So I am afraid that I still have this (belief?) that an expansion, considering ALL the universe, by default would cause a change in homogeneity. Try to imagine your piece of paper as just a fraction of the whole. No matter how big it is it is no different anywhere to what you see on your sample. Think of a letter as far away as you can imagine, the letters adjacent to it will be expanding away from it by 1 square in the interval and the density in that region has gone down from 0.33 to 0.25. If it was 0.33 everywhere and it is now 0.25 everywhere, homogeneity has been preserved. Other posters refer to light being at a different velocity when the universe was 'smaller', which is claimed to upset this view. There has been speculation about that but nothing believable. The possibility exists so people do tests to look for any variation when the opportunity arises but so far it is mainly cranks pushing their own ideas. Also that the expansion of space drags the galaxies along, rather than them travelling through space. You might have to try convincing me along those lines, in order to overcome my current skepticism ref expansion. If you ever become conversant with GR, I will have to backtrack on some of what I am saying. Until then, I feel it is better to explain it in terms you understand, as close to Newtonian physics as I can manage. However, I will be open about this and suggest you read the following threads. These are experts who know the subject well, the question is not the theory but how to explain it: http://makeashorterlink.com/?V5C032776 http://makeashorterlink.com/?U2D051776 These guys seem to chuck out the Doppler red shift for cosmological scales. We spent considerable time in a certain railway station which was supposed to be very sound evidence for BB per this very Doppler red shift............ The essence is that the different ways of explaining it can be considered equivalent under certain circumstances. George I'm afraid that I am still with Sean on this (or vice versa), in that the term "expanding infinity" is oxymoronic and contradictory. There may "appear" to have been some form of BB, but appearances can be deceptive! Can you perhaps give me link to Super Nova information which is claimed to be heavy support for BB? Thanks George Jim G |
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Popping The Big Bang | Jim Greenfield | Astronomy Misc | 701 | July 8th 07 05:40 PM |