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#51
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"N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:LouPe.125018$E95.97822@fed1read01... Dear Martin Brown: "Martin Brown" wrote in message ... N:dlzc D:aol T:com (dlzc) wrote: Dear Martin Brown: "Martin Brown" wrote in message ... .... And he can still see the fixed stars outside the BH. That is what Andrew's simulations show, yes. Yet the photon sphere will be continually ingested/drained by an expanding hole, and the Einstein rings will sucessively give up some of their contents. At least. Sorry but I cannot make any sense of the last two sentences. You won't be able to see anything out of an active feeding BH since it will be surrounded by opaque dense relativistic plasma. WE ARE TALKING ABOUT A FALLING PERSON INSIDE. How is the world is he supposed to see specular images through an opaque dense relativistic plasma (shades of the CMBRM, Batman!), Martin? Can we see through the CMBRM? David, before shouting at people, remember you were talking about a black hole, not the big bang at this point: "And he can still see the fixed stars outside the BH." There is no "opaque dense relativistic plasma" around many black holes. At the event horizon, there is nothing but vacuum so the person inside can look back and see the external stars. Obviously this would be different for a BH that has a disk fed from a companion but again you can still see out to that disk and the bottom of any jets. George |
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#52
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"N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:5JPOe.124798$E95.60198@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:yUwOe.124442$E95.97537@fed1read01... Dear Geroge Dishman, .... I understand what you are saying, George. Now try these: URL:http://www.aleph.se/Trans/Global/Omega/baby.txt David, is there a way to get rid of the "URL:" part, it breaks the link in Outlook Express because the text is no longer a URL if you put "URL" in front. I intentionally add the URL:, so that Outlook Express and other readers will correctly form long links. Oh well... FWIW the links work for me. Sometimes it does for me too but the definition of a URL starts with the protocol to be used followed by a colon. You are telling the software to use the "URL" protocol instead of "HTTP". I'll trim a lot because we have really covered it. But nothing else did, nor did it it in any particular talk about the production of an inner Universe due to a choice of metric. However, it is not important. I think it is a good question if the event horizon is even *in* this Universe. If there is a wind blowing from your back at Mach2, you cannot hear someone in front of you. They are still "in this universe". The key pint is that no physics changes at the horizon and there is no discontinuity. http://www.astronomycafe.net/qadir/ask/a11125.html Note also Andrew's quiz question 5: http://casa.colorado.edu/~ajsh/quiz.html#quiz The answer is he http://casa.colorado.edu/~ajsh/schwp.html#metricinside Then he claims that we "fall at c". And yet, this seems to be what is at hand. Imagine a duck swimming up river at 5m/s in a stream that narrows approaching a weir. As the stream narrows, the water moves faster. If the duck starts where the water flows at 4m/s it will escape but if it starts where it is 6m/s it will move towards the weir ever faster until it goes over. A singularity occurs if the width of the stream gets to zero at the weir as the speed becomes infinite, but nothing happens to the water (or the duck) where the flow is 5m/s. The analogies are fine George. Unfortunately, *to whom* does the infalling person appear to fall at c? Presumably a stationary observer, but there are on possible stationary observers inside the photon sphere, much less inside the event horizon. This I think is where I disagree with Martin (which worries me somewhat). I believe the answer is "to an observer at infinity not moving relative to the location of the black hole.". Have a look at the freefall diagram: http://casa.colorado.edu/~ajsh/schwp.html#freefall Note that the green lines fall to the centre in finite time and the time coordinate which is the Y axis is the same regardless of whether the green line is inside or outside. The orange lines show light emitted by an infalling object. As the green lines approach the horizon, the orange lines get nearer to vertical and take ever longer to reach the right-hand edge of the chart where a 'distant' observer might hover by continually firing a rocket. Once the green line (the freefalling object) crosses the horizon though, the orange lines fall inwards, the water is moving too fast for the duck (neat, I just found Andrew used the same idea but with canoes). So what use are the words, what meaning can they convey where the context is not part of this Universe (except though total mass, total charge, total angular moementum)? It is still part of this universe, the other universe idea comes in after the matter passes the r=0 point. George |
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#53
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N:dlzc D:aol T:com (dlzc) wrote:
"Martin Brown" wrote in message ... N:dlzc D:aol T:com (dlzc) wrote: Dear Martin Brown: "Martin Brown" wrote in message ... N:dlzc D:aol T:com (dlzc) wrote: Yes, trick needed. Schwarzchild is singular at the event horizon, as we have covered ad nauseum. Yet he managed to achieve a continuous presentation... maybe it is well behaved on either side of the EH. Schwarzschild coordinates are singular at the event horizon in the same way that latitude and longitude are singular at the Earth's North pole. Which of those goes to infinity, Martin? Neither. But some infinities can be dealt with safely. Similar predictions are made in Kruskal and Eddington models, and they are not singular at the EH. We simply don't know what he used. I don't believe the choice of coordinate systems makes any difference to the physics - it is just more confusing and difficult to work out the calculations in some than in others. It doesn't have any real physical significance and can be worked around. Kruskal, Eddington and others. Yes, I know. Then why do you choose to ignore them? Why do you assume that I did? They both fold outer space or outer spacetime into a separate inner time axis. Why do you posture, rather than read the references that have been cited? I must have missed the references you cited in support of your position. Please repost them... I understand this is uncomfortable, and I am sorry for that. It is just a question. Teenagers ask about sex too... You are begining to sound like Gerald Kelleher. The singularity at the centre of a BH in the classical GR geometric interpretation cannot be so easily dismissed. Yes, it can. "Classical GR" provides that an entirely separate Universe is formed inside the BH. And if this is close to reality, the "central singularity" we are heading for (but will never reach) is an infinitely diffuse, cold future. "Newton" provides a "central infinitely dense lump at the center." I think you will find most practitioners expect infalling material to find itself at the centre of a BH (even a large one) in a relatively short time. ISTR an hour or so for a big galactic centre BH. Outer expectations of inner duration are simply the Newton in you (and others). Once the object crosses the event horizon, it is gestalt with the BH. If somone wanted a "speed of gravity" experiment, that would be the place to run it. When would an orbitting body cease to respond to two distinct bodies, and only orbit the single fatter BH? I am inclined to trust the dynamical equations YMMV. The analogies are fine George. Unfortunately, *to whom* does the infalling person appear to fall at c? Himself. That is going to take some explaining. Light can and will pass him at c in both directions (towards and away from EH). So which way does he get "infintely redshifted light", and from which way does he get "infintely blueshifted light"? Just because light does not exit the EH, doesn't mean that light cannot be directed opposite his fall. Lets try the more precise description for a massive test particle falling under GR of "c-epsilon" as epsilon tends to zero instead. So he doesn't fall at c wrt himself, and you are busting my chops. Great! He can measure his own velocity wrt to the fixed stars located outside the black hole and provided he chooses a nice massive queiecent BH to jump into he might live long enough to complete the experiment before being annihilated on reaching the centre. And he can still see the fixed stars outside the BH. That is what Andrew's simulations show, yes. Yet the photon sphere will be continually ingested/drained by an expanding hole, and the Einstein rings will sucessively give up some of their contents. At least. Sorry but I cannot make any sense of the last two sentences. You won't be able to see anything out of an active feeding BH since it will be surrounded by opaque dense relativistic plasma. WE ARE TALKING ABOUT A FALLING PERSON INSIDE. Definitely strong indications of NetKook here. Shouting incoherently. How is the world is he supposed to see specular images through an opaque dense relativistic plasma (shades of the CMBRM, Batman!), Martin? Can we see through the CMBRM? A BH in total isolation from all other matter is only detectable from outside by watching how it distorts light passing near it. Only when it is actively feeding is there an accretion disk, relativistic plasmas etc. Light from outside can cross and enter freely through the EH, but it can never leave (shades of Hotel California). In practice I suspect there may be some opacity problems near real ones that are not feeding because of rotating embedded magnetic fields and electron positron pair production etc. Maybe someone has done the calculation. But in a thought experiment the requirement is only to decide whether the existing laws of physics can be applied to the situation and yield a self consistent result. The falling observer is entitled to enter the BH with a clock and full knowledge of the laws of astronomy, physics and GR. He can measure the mass/size of the BH and then time how long it takes him to reach the singularity (subject to some minor experimental difficulties). Sure can. Apparently ~125 Gy give or take tens (or hundreds) of Gy. Is that an estimate of the time to reach our nearest BH ? Or something else? Most estimates I have seen for observers time to live after freefalling into even the most massive BH observed in our universe are only a couple of hours. That is the *internal* time it takes for us to reach the "infinitely diffuse cold, future". People that think Newton, standing on the outside, will see us "undifferentiate" the instant they figure we cross the event horizon. The horizon is the "singularity at the center" to those "outsiders". Or not. That is what the question is about. You are really going to have to define your terms more carefully and/or draw what you mean or better still the equations. Once again your last few sentences do not make any sense to me. I don't think we are using much Newtonian dynamics here... Regards, Martin Brown |
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#54
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"N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:XQROe.124809$E95.70204@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... I had written a more extensive reply but it got trashed when a virus checker update locked up and has mostly been superseded so I'll trim this severely. What is raising the question of a non-closed Universe? Without dark energy, GR gives some simple solutions for an expanding universe: 1) Density greater than the critical value means spatially and temporally finite so we have a closed universe and a big crunch. Expansion slows and reverses. A photon created at t=0 gets exactly half way across the universe when the crunch arrives. Which doesn't work too well, since we have photons arriving in all directions from even ~300,000 y after the Big Bang. Why is that relevant, there wasn't a centre as you know. Let's see. We can determine the temperature of the CMBR a "billion years ago" by observing processes in distant stars. You have arrived at 4300 6300 LY actually but never mind. I hope to hold that number. light years for the thickness of the CMBR. Seems to me like we are still receiving light that has travelled more than once around the size of that early Universe, Age now is 13.7 billion years. Hypothetically, if we were in a closed universe currently at maximum volume, the crunch would be at 27.4 billion years. In that case GR said it would take a photon precisely 54.8 billion years to get back to where it was created after going "once round". The cosmological constant changes all that though. even though it may no longer be able to make it around the size of the Universe now. So the stated condition "A photon created at t=0 gets exactly half way across the universe when the crunch arrives." is obviously not met in this Universe. Currently a closed universe seems highly unlikely as we have discussed. Agreed. You asked me "why" and I was answering that. Then I still don't understand why you said "Which doesn't work too well, since we have photons arriving in all directions from even ~300,000 y after the Big Bang". They were produced everywhere so would be arriving from all directions even 1s after the bang. And how they could have NOT been aroud the early Universe *at least once*, when it took ~300,000 years to get to a size of 6300 ly. Maybe I'm being too Newtonian about it... No, I think it's more basic. The size in such a universe would not be static. The radius first increases then decreases. slice through it and stack different slices at different times and you get a shape like an american football standing on one end. The path of a photon would be a variable radius helix starting at the base and winding round to the top. Looking down from the top it turns through only 180 degrees total. My figure of 6300 LY would suggest it was opaque at 372,700 years and transparent at 379,000 years. "In an instant" doesn't seem inappropriate in cosmological terms. ... but it does to a mechanical engineer! Is the "thickness" being the same order of magnitude as the global "quench" meaningful? What do you mean by "global 'quench'"? What was completed by "379,000 years". The plasma was quenched to a normal matter state. If we were expanding compressed air as an analogy, it the point at which water vapor (as opposed to steam) would form. OK, but then 6300 years is two order smaller than that, not the same order of magnitude. The z of the CMBR can be thought of as produced by motion of the source away from us but it can also be considered as similar to gravitational redshift or a stretching of the wavelength of the photon while it was travelling through space that was being stretched. That sucked when Paul Lutus was feeding it to me. It is a standard way of expressing it. I'm not keen myself but I think the three descriptions are effectively equivalent while appearing different in the same sense as wave/particle duality. But it requires that the photon give up some of its energy, yet retain the vector portion of its mometum entirely intact. We don't know how to do that. Both energy and momentum are proportional to frequency, and both values are frame-dependent. Ignoring my 'proper motion' part, the kinetic motion and the "expansion velocity" are one and the same. I think that I will stick with Ned Wright's defintion, wherein "kinetic motion" is kept separate form expansion. "Let each man lay his dead according to his own fashion." Can you give me a pointer to this in his tutorial, I wasn't aware he used the terms. I'll search later but if you have bookmarked the section it would save me some time. I swear it was there explicitly. Any way, as close I can find is Part 2: http://www.astro.ucla.edu/~wright/cosmo_02.htm (without the URL:...) Works perfectly :-) QUOTE Note that the redshift-velocity law is not the special relativistic Doppler shift law 1+z = sqrt[(1+v/c)/(1-v/c)] which only applies to special relativistic coordinates, not to cosmological coordinates. END QUOTE neither a search for "kinetic" nor "motion" yielded as clear a delineation as I'd like. I think we have lost the thread on this, that is just "the velocity" and doesn't draw any distinctions. They keep talking about "recombination", It is a misnomer, it should be just "combination", it's a bit of an in-joke actually. Perhaps. But many still believe that it started from some "central singularity", some complex (perhaps) ordered (certainly bound) state, it had to "de-order" to "get out", then *recombined* to simpler diffuse forms. I've never seen anything like that suggested. Like a white hole (or evaporating black one), which is hotter than the Universe that contains it. It is, but being hotter means the contents are ionised. "Recombination" implies something cold has been ionised by heating and is now becoming cold again. Then that is 'new physics' No, it isn't. I'll continue to disagree on that. I provided three links that indicate that it isn't "new physics", but a prediction of GR, quantum mechanics, or some combination thereof. You may continue to disagree. I just think you are looking at those pages with a preconceived notion and are seeing what you expect. I respect Steve Carlip's knowledge on GR so I'll read what he says with great interest. Consider a young Universe, some 6300 ly "across", with mass sufficient to achieve a "curvature coefficient" of 1079 (compared to today). Lots of confusion there, the optical thickness of the period of recombination was 6300 ly but that happened at 380,000 years so the part of the universe which is _currently_ observable might have been 760,000 LY across and the whole universe would have been billions of light years across or perhaps infinite. The plasma would be too thick to fill 760,000 ly, I have no idea what that means! and still generate the spectrum. Or that! Perhaps this is another lesson for another day... The universe appears to be flat and would have been then too. The figure of 1079 is the redshift compared to today, not the curvature. An indication of the curvature of the Universe that emitted the light, vs. the Universe that detected it. Again your words mean nothing to me. I believe z is a measure of the angle between two normals to a surface that has curvature between them, but I also suspect that's too simplistic. However, I don't see how you could compute the angle between two points on curved surfaces in different universes. How do you calculate across the discontinuity? That may be a small beginning, but it no less massive. It still held only 4% of the required matter in baryonic form. Sufficient to produce a redshift many orders of magnitude greater than our Sun does, and by similar means. Last I heard, there was no Dark Matter at the time of the CMBRM. Where does this stand now? Where did you hear that? I thought the WMAP results supported dark matter. For the CMBR, use this link http://lambda.gsfc.nasa.gov/product/...prod_table.cfm Yes. This would be good (as a start) for a free BH, or one near our position in a "largely spiral" galaxy. I intended that as a good start for the CMBR after the removal of all stars. You need individual stellar spectra separately. A free BH has no spectrum since it is black ! The detector of a satellite can behave like a "differential area" on an event horizon. Again I have no idea what you mean. If we point a satellite at a black hole, we don't see the hole, only the universe behind distorted a bit. You believe that the images will come in spectrally, I do not. That would be inside, we are outside all the black holes we can use for a reference. Then I need to come up with a spectrum for a BH consuming a companion, Try Cyg X1 A good search ("Cygnus X1"). I'll see what I can find. Is it "close" and/or is the line-of-sight pretty clear? http://en.wikipedia.org/wiki/Cygnus_X-1 2500 parsecs. and to somehow infer the influx to the BH at the center of our own galaxy. It appears to be in a relatively clear region so is invisible. Vaccum cleaners are like that! How about the center of Andromeda? Is it pretty quiet there also? These may be of more use http://www.astr.ua.edu/keel/agn/ In particular http://www.astr.ua.edu/keel/agn/spectra.html http://heasarc.gsfc.nasa.gov/docs/ob...n/agntext.html http://en.wikipedia.org/wiki/Active_Galactic_Nuclei Thanks, it's nice to know you appreciate it. I could tell you do the same and while we may disagree I hope you feel you benefit as much as me from reading the cited resources. What fun would it be if everyone agreed with me? I wouldn't get to learn anything. ;) Now if I just can... A few more links to keep you going ;-) If only I had the time to study them all myself George |
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#55
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Dear George Dishman:
"George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:5JPOe.124798$E95.60198@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:yUwOe.124442$E95.97537@fed1read01... Dear Geroge Dishman, ... I understand what you are saying, George. Now try these: URL:http://www.aleph.se/Trans/Global/Omega/baby.txt David, is there a way to get rid of the "URL:" part, it breaks the link in Outlook Express because the text is no longer a URL if you put "URL" in front. I intentionally add the URL:, so that Outlook Express and other readers will correctly form long links. Oh well... FWIW the links work for me. Sometimes it does for me too but the definition of a URL starts with the protocol to be used followed by a colon. You are telling the software to use the "URL" protocol instead of "HTTP". OK. I'll trim a lot because we have really covered it. But nothing else did, nor did it it in any particular talk about the production of an inner Universe due to a choice of metric. However, it is not important. I think it is a good question if the event horizon is even *in* this Universe. If there is a wind blowing from your back at Mach2, you cannot hear someone in front of you. They are still "in this universe". The key pint is that no physics changes at the horizon and there is no discontinuity. http://www.astronomycafe.net/qadir/ask/a11125.html This is the standard interpretation, yes. There are alternatives to this interpretation, alternatives provided by GR experts, and I am attempting to test what I see is a perhaps falsifiable part of their solutions. Yet I keep getting this "but the standard interpretation is..." Note also Andrew's quiz question 5: http://casa.colorado.edu/~ajsh/quiz.html#quiz The answer is he http://casa.colorado.edu/~ajsh/schwp.html#metricinside I think we can stop talking about Andrew and his pages. His methods are not revealed, his wording is (apparently) sloppy, so I don't think I can learn anything further from his pages as they stand. Then he claims that we "fall at c". And yet, this seems to be what is at hand. Imagine a duck swimming up river at 5m/s in a stream that narrows approaching a weir. As the stream narrows, the water moves faster. If the duck starts where the water flows at 4m/s it will escape but if it starts where it is 6m/s it will move towards the weir ever faster until it goes over. A singularity occurs if the width of the stream gets to zero at the weir as the speed becomes infinite, but nothing happens to the water (or the duck) where the flow is 5m/s. The analogies are fine George. Unfortunately, *to whom* does the infalling person appear to fall at c? Presumably a stationary observer, but there are on possible stationary observers inside the photon sphere, much less inside the event horizon. This I think is where I disagree with Martin (which worries me somewhat). I believe the answer is "to an observer at infinity not moving relative to the location of the black hole.". Have a look at the freefall diagram: http://casa.colorado.edu/~ajsh/schwp.html#freefall Note that the green lines fall to the centre in finite time and the time coordinate which is the Y axis is the same regardless of whether the green line is inside or outside. The orange lines show light emitted by an infalling object. As the green lines approach the horizon, the orange lines get nearer to vertical and take ever longer to reach the right-hand edge of the chart where a 'distant' observer might hover by continually firing a rocket. Once the green line (the freefalling object) crosses the horizon though, the orange lines fall inwards, the water is moving too fast for the duck (neat, I just found Andrew used the same idea but with canoes). I have discussed path_average_speed with you in relation to Shapiro time delay. Any usage of "falling at c" for any observer outside the BH is meaningless, even if you don't "buy" the "new internal Universe" interpretation. Because the path_average_speed for light at the horizon now has a 0 value towards anyone outside the BH. So such claims would be non-sequitur. So what use are the words, what meaning can they convey where the context is not part of this Universe (except though total mass, total charge, total angular moementum)? It is still part of this universe, the other universe idea comes in after the matter passes the r=0 point. No. I provided citations, George, but I cannot make you read them. The other Universe starts at (some function of) r_S. David A. Smith |
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#56
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Dear George Disman:
"George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:LouPe.125018$E95.97822@fed1read01... Dear Martin Brown: "Martin Brown" wrote in message ... N:dlzc D:aol T:com (dlzc) wrote: Dear Martin Brown: "Martin Brown" wrote in message ... ... And he can still see the fixed stars outside the BH. That is what Andrew's simulations show, yes. Yet the photon sphere will be continually ingested/drained by an expanding hole, and the Einstein rings will sucessively give up some of their contents. At least. Sorry but I cannot make any sense of the last two sentences. You won't be able to see anything out of an active feeding BH since it will be surrounded by opaque dense relativistic plasma. WE ARE TALKING ABOUT A FALLING PERSON INSIDE. How is the world is he supposed to see specular images through an opaque dense relativistic plasma (shades of the CMBRM, Batman!), Martin? Can we see through the CMBRM? David, before shouting at people, remember you were talking about a black hole, not the big bang at this point: "And he can still see the fixed stars outside the BH." That is not what *I* said George. It was to what I was responding. I will apologize to Martin under separate cover. There is no "opaque dense relativistic plasma" around many black holes. At the event horizon, there is nothing but vacuum so the person inside can look back and see the external stars. Obviously this would be different for a BH that has a disk fed from a companion but again you can still see out to that disk and the bottom of any jets. I find it fascinating that such a plasma might also fulfill the needs of a CMBRM. But I don't find it compelling, only "convenient". I think the intergrated light history, on its own, will be sufficient. I wonder if they got any sort of spectral information on the "dual to a black hole" experiments... David A. Smith |
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#57
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Dear Martin Brown:
"Martin Brown" wrote in message ... N:dlzc D:aol T:com (dlzc) wrote: "Martin Brown" wrote in message ... N:dlzc D:aol T:com (dlzc) wrote: Dear Martin Brown: "Martin Brown" wrote in message ... .... And he can still see the fixed stars outside the BH. That is what Andrew's simulations show, yes. Yet the photon sphere will be continually ingested/drained by an expanding hole, and the Einstein rings will sucessively give up some of their contents. At least. Sorry but I cannot make any sense of the last two sentences. You won't be able to see anything out of an active feeding BH since it will be surrounded by opaque dense relativistic plasma. WE ARE TALKING ABOUT A FALLING PERSON INSIDE. Definitely strong indications of NetKook here. Shouting incoherently. I need to apologize to you Martin. You had kept a level tone until you claimed that the infaller could see external stars, and then said that he could not see external stars. I lost it. I apologize. Now as far as "NetKook" goes... It is evident that you wish to do anything but discuss this. Goodbye. plonk David A. Smith |
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#58
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Dear George Dishman,
"George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:XQROe.124809$E95.70204@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... I had written a more extensive reply but it got trashed when a virus checker update locked up and has mostly been superseded so I'll trim this severely. OK. .... even though it may no longer be able to make it around the size of the Universe now. So the stated condition "A photon created at t=0 gets exactly half way across the universe when the crunch arrives." is obviously not met in this Universe. Currently a closed universe seems highly unlikely as we have discussed. Agreed. You asked me "why" and I was answering that. Then I still don't understand why you said "Which doesn't work too well, since we have photons arriving in all directions from even ~300,000 y after the Big Bang". They were produced everywhere so would be arriving from all directions even 1s after the bang. And how they could have NOT been aroud the early Universe *at least once*, when it took ~300,000 years to get to a size of 6300 ly. Maybe I'm being too Newtonian about it... No, I think it's more basic. The size in such a universe would not be static. The radius first increases then decreases. slice through it and stack different slices at different times and you get a shape like an american football standing on one end. The path of a photon would be a variable radius helix starting at the base and winding round to the top. Looking down from the top it turns through only 180 degrees total. *That* went right over my head! I know the light cone, which could remotely be called one end of a football (Amercian football, yes?), and the expansion of the Universe could be called the other end... but the spiral? My figure of 6300 LY would suggest it was opaque at 372,700 years and transparent at 379,000 years. "In an instant" doesn't seem inappropriate in cosmological terms. ... but it does to a mechanical engineer! Is the "thickness" being the same order of magnitude as the global "quench" meaningful? What do you mean by "global 'quench'"? What was completed by "379,000 years". The plasma was quenched to a normal matter state. If we were expanding compressed air as an analogy, it the point at which water vapor (as opposed to steam) would form. OK, but then 6300 years is two order smaller than that, not the same order of magnitude. 379,000 - 372,700 = 6,300 .... looks like the same order of magnitude. The z of the CMBR can be thought of as produced by motion of the source away from us but it can also be considered as similar to gravitational redshift or a stretching of the wavelength of the photon while it was travelling through space that was being stretched. That sucked when Paul Lutus was feeding it to me. It is a standard way of expressing it. I'm not keen myself but I think the three descriptions are effectively equivalent while appearing different in the same sense as wave/particle duality. But it requires that the photon give up some of its energy, yet retain the vector portion of its mometum entirely intact. We don't know how to do that. Both energy and momentum are proportional to frequency, and both values are frame-dependent. "We don't know how to do that." Stretching is what we don't know how to do. What we do see right here/now is gravitational time dilation, which is sufficient also to describe the redshift of ancient light. Ignoring my 'proper motion' part, the kinetic motion and the "expansion velocity" are one and the same. I think that I will stick with Ned Wright's defintion, wherein "kinetic motion" is kept separate form expansion. "Let each man lay his dead according to his own fashion." Can you give me a pointer to this in his tutorial, I wasn't aware he used the terms. I'll search later but if you have bookmarked the section it would save me some time. I swear it was there explicitly. Any way, as close I can find is Part 2: http://www.astro.ucla.edu/~wright/cosmo_02.htm (without the URL:...) Works perfectly :-) QUOTE Note that the redshift-velocity law is not the special relativistic Doppler shift law 1+z = sqrt[(1+v/c)/(1-v/c)] which only applies to special relativistic coordinates, not to cosmological coordinates. END QUOTE neither a search for "kinetic" nor "motion" yielded as clear a delineation as I'd like. I think we have lost the thread on this, that is just "the velocity" and doesn't draw any distinctions. It does, George. It delineates between velocity in Minkowski spacetime, and expansion velocity. And the point is moot, since it wasn't as clearly phrased on his pages as I "remembered". They keep talking about "recombination", It is a misnomer, it should be just "combination", it's a bit of an in-joke actually. Perhaps. But many still believe that it started from some "central singularity", some complex (perhaps) ordered (certainly bound) state, it had to "de-order" to "get out", then *recombined* to simpler diffuse forms. I've never seen anything like that suggested. Like a white hole (or evaporating black one), which is hotter than the Universe that contains it. It is, but being hotter means the contents are ionised. "Recombination" implies something cold has been ionised by heating and is now becoming cold again. OK. Then that is 'new physics' No, it isn't. I'll continue to disagree on that. I provided three links that indicate that it isn't "new physics", but a prediction of GR, quantum mechanics, or some combination thereof. You may continue to disagree. I just think you are looking at those pages with a preconceived notion and are seeing what you expect. I respect Steve Carlip's knowledge on GR so I'll read what he says with great interest. You indicated that you felt the same way about John Baez. Two of the citations I provided were his, and the third was Chris Hillman. Steve Carlip is also a very smart cookie. Consider a young Universe, some 6300 ly "across", with mass sufficient to achieve a "curvature coefficient" of 1079 (compared to today). Lots of confusion there, the optical thickness of the period of recombination was 6300 ly but that happened at 380,000 years so the part of the universe which is _currently_ observable might have been 760,000 LY across and the whole universe would have been billions of light years across or perhaps infinite. The plasma would be too thick to fill 760,000 ly, I have no idea what that means! and still generate the spectrum. Or that! It is based on the words you provided, which came from your understanding of the topic when you said it. So maybe a timeline will reveal my confusion: BB - 366,000 - 372,300 - 379,000 - 14 Gy .... you say the CMBRM is 6300 ly thick, so I assumed 366,000 is the start of it (or the beginning of the end). Perhaps this is another lesson for another day... The universe appears to be flat and would have been then too. The figure of 1079 is the redshift compared to today, not the curvature. An indication of the curvature of the Universe that emitted the light, vs. the Universe that detected it. Again your words mean nothing to me. I believe z is a measure of the angle between two normals to a surface that has curvature between them, but I also suspect that's too simplistic. However, I don't see how you could compute the angle between two points on curved surfaces in different universes. How do you calculate across the discontinuity? It is continuous between them, isn;t it? That may be a small beginning, but it no less massive. It still held only 4% of the required matter in baryonic form. Sufficient to produce a redshift many orders of magnitude greater than our Sun does, and by similar means. Last I heard, there was no Dark Matter at the time of the CMBRM. Where does this stand now? Where did you hear that? I thought the WMAP results supported dark matter. I "heard that" here on sci.astro. Since I don't catch every bit of late breaking news, and since I frequently get my memories rearranged, I was asking you. So Dark Matter is evident in the CMBRM? For the CMBR, use this link http://lambda.gsfc.nasa.gov/product/...prod_table.cfm Yes. This would be good (as a start) for a free BH, or one near our position in a "largely spiral" galaxy. I intended that as a good start for the CMBR after the removal of all stars. You need individual stellar spectra separately. A free BH has no spectrum since it is black ! The detector of a satellite can behave like a "differential area" on an event horizon. Again I have no idea what you mean. If we point a satellite at a black hole, we don't see the hole, only the universe behind distorted a bit. Sigh... George, I am going to use the recorded spectra, as detected by "detectors", and infer from that via the magic of integration, what the EH of a black hole would ingest over its surface, over its lifetime. I thought I said this more than once. You believe that the images will come in spectrally, I do not. That would be inside, we are outside all the black holes we can use for a reference. This is what you are comfortable in believing, yes George. I have seen "non-beginner" solutions to GR that indicate that perhaps our Big Bang is the inside of an event horizon of a black hole that contains our Universe. I propose to test this by the above mentioned integration. Then I need to come up with a spectrum for a BH consuming a companion, Try Cyg X1 A good search ("Cygnus X1"). I'll see what I can find. Is it "close" and/or is the line-of-sight pretty clear? http://en.wikipedia.org/wiki/Cygnus_X-1 2500 parsecs. http://www.oa.uj.edu.pl/research/cygx1.html .... spectral references. Much more suitable. http://astrophysics.sr.unh.edu/mccon...26_v4_p119.pdf .... and graphs! line-of-sight is clear. So I will assume the spectrum ingested is pretty close to the same, adjusting for the difference in distance and angular size (using Einstein ring #1 as the outer boundary). and to somehow infer the influx to the BH at the center of our own galaxy. It appears to be in a relatively clear region so is invisible. Vaccum cleaners are like that! How about the center of Andromeda? Is it pretty quiet there also? These may be of more use http://www.astr.ua.edu/keel/agn/ In particular http://www.astr.ua.edu/keel/agn/spectra.html http://heasarc.gsfc.nasa.gov/docs/ob...n/agntext.html http://en.wikipedia.org/wiki/Active_Galactic_Nuclei Here is a problem in modelling. Would you say that the percentage of active galactic nucleii vs. non-active (Milky Way and Andromeda) would be and indication that this behavior might be periodic. In other words, my black-hole-in-galactic-center model should be sometimes active, and sometimes not, roughly like the percentage above? Thanks, it's nice to know you appreciate it. I could tell you do the same and while we may disagree I hope you feel you benefit as much as me from reading the cited resources. What fun would it be if everyone agreed with me? I wouldn't get to learn anything. ;) Now if I just can... A few more links to keep you going ;-) If only I had the time to study them all myself I won't blindside anybody. Anything I find will be on the internet. Thanks to all. David A. Smith |
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"N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:qoOPe.129290$E95.2723@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:5JPOe.124798$E95.60198@fed1read01... Dear George Dishman: .... The key p[o]int is that no physics changes at the horizon and there is no discontinuity. http://www.astronomycafe.net/qadir/ask/a11125.html This is the standard interpretation, yes. There are alternatives to this interpretation, alternatives provided by GR experts, That is where you disagree with myself and both Martin and Steve Carlip. I consider Steve to be a "GR expert" having read his posts for many years though he would no doubt disagree. Andrew Hamilton is A professor lecturing on the subject and is saying the same thing, there is only one interpretation at the event horizon for a non- rotating, non-charged black hole and it doesn't have a singularity. and I am attempting to test what I see is a perhaps falsifiable part of their solutions. Yet I keep getting this "but the standard interpretation is..." No, what you keep getting is "There is only one model provided by GR but it can be described in a variety of coordinate schemes, some of which don't work at the horizon.". What is annoying people who have been "experts" in GR by any normal standard is that you refuse to listen. It is what happens at r=0 where there is a real singularity and GR fails that is open to interpretation. Note also Andrew's quiz question 5: http://casa.colorado.edu/~ajsh/quiz.html#quiz The answer is he http://casa.colorado.edu/~ajsh/schwp.html#metricinside I think we can stop talking about Andrew and his pages. His methods are not revealed, his wording is (apparently) sloppy, "Answer to the quiz question 5: False." That seems pretty unamibguous to me. so I don't think I can learn anything further from his pages as they stand. "The Schwarzschild metric remains valid inside the Schwarzschild radius. It is fine to perform mathematical calculations using the Schwarzschild metric." Have you learnt that? This I think is where I disagree with Martin (which worries me somewhat). I believe the answer is "to an observer at infinity not moving relative to the location of the black hole.". Have a look at the freefall diagram: http://casa.colorado.edu/~ajsh/schwp.html#freefall Note that the green lines fall to the centre in finite time and the time coordinate which is the Y axis is the same regardless of whether the green line is inside or outside. The orange lines show light emitted by an infalling object. As the green lines approach the horizon, the orange lines get nearer to vertical and take ever longer to reach the right-hand edge of the chart where a 'distant' observer might hover by continually firing a rocket. Once the green line (the freefalling object) crosses the horizon though, the orange lines fall inwards, the water is moving too fast for the duck (neat, I just found Andrew used the same idea but with canoes). I have discussed path_average_speed with you in relation to Shapiro time delay. Note the the freefall lines are curved. The path average over any section would be a chord between two points. The horizon is where the slope of the line is c. Any usage of "falling at c" for any observer outside the BH is meaningless, "Falling at", implies to me the instantaneous speed rather than an average. Outside the horizon it is less than c, at the horizon is is equal to c while inside it is greater. This is valid all the way to the central singularity where the lines become horizontal and speed becomes infinite. even if you don't "buy" the "new internal Universe" interpretation. I'm not saying I am not prepared to consider it but according to GR the entry to that universe would be through the singularity at r=0 or at the Cauchy horizon in the more general case I think. This may be of interest, I ihaven't had a chance to look through it myself yet though: http://www.absoluteastronomy.com/enc...hy_horizon.htm Because the path_average_speed for light at the horizon now has a 0 value towards anyone outside the BH. Not true, look at the freefall diagram again http://casa.colorado.edu/~ajsh/stffbig_gif.html You are talking about light this time rather than a freefalling object so draw a chord between any two points on a _yellow_ line. It has a finite non-zero value. Infinitely far from the black hole the slope of the line will be asymptotic to 45 degrees, the speed of light. A path-average speed of zero would require a chord to a yellow line which was vertical on the diagram. So such claims would be non-sequitur. So what use are the words, what meaning can they convey where the context is not part of this Universe (except though total mass, total charge, total angular moementum)? It is still part of this universe, the other universe idea comes in after the matter passes the r=0 point. No. I provided citations, George, but I cannot make you read them. The other Universe starts at (some function of) r_S. I read most of the pages. John Baez page was the first of a series and I read the first three pages but his maths is somewhat beyond my level. However, there seemed to be only one paragraph that directly addressed this point and subsequent pages were getting further from the subject. I quoted that to you, here is the section in whole (if you were refering to some other paragraph please point me at it): | To begin with, Lee Smolin, one of the originators of the loop representation | of quantum gravity, has been spending the last year or so writing a book | in a popular style, to be entitled "Life and Light," which tours the | cosmos and makes some interesting speculations on "evolutionary | cosmology." These speculations are based on 2 hypotheses. | | A. The formation of a black hole creates "baby universe," the final | singularity of the black hole tunnelling right on through to the initial | "big bang" singularity of the new universe thanks to quantum effects. | While this must undoubtedly seem outre to anyone unfamiliar with the | sort of thing theoretical physicists amuse themselves with these days, | in a recent review article by John Preskill on the information loss | paradox for black holes, he reluctantly concluded that this was the | *most conservative* solution of that famous problem! and the relevant part again: "the final singularity of the black hole tunnelling right on through to the initial 'big bang' singularity of the new universe" Now I read "the final singularity" to mean r=0 where there undoubtedly is a singularity. I guess you might read it as meaning at the horizon, but at best it doesn't resolve the question and IMHO it supports what I and everyone else has been telling you. If you can find something clear and unambiguous that supports what you are saying about GR then I will happily listen, I am here to learn, but so far you have just been contradicting everything I have ever read about the event horizon. I think that's why Martin got the impression you are taking a netkook attitude to this, though from past discussions I'm somewhat surprised at your response. George |
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"N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:YyRPe.129306$E95.57191@fed1read01... Dear George Dishman, "George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:XQROe.124809$E95.70204@fed1read01... .... And how they could have NOT been aroud the early Universe *at least once*, when it took ~300,000 years to get to a size of 6300 ly. Maybe I'm being too Newtonian about it... No, I think it's more basic. The size in such a universe would not be static. The radius first increases then decreases. slice through it and stack different slices at different times and you get a shape like an american football standing on one end. The path of a photon would be a variable radius helix starting at the base and winding round to the top. Looking down from the top it turns through only 180 degrees total. *That* went right over my head! I know the light cone, which could remotely be called one end of a football (Amercian football, yes?), and the expansion of the Universe could be called the other end... but the spiral? OK I'll try again. This must have been a post I saw some years ago in s.p.r but I can't find it ATM. ASCII is a problem my football looks like this: ^ / \ ( ) \ / V The big bang is at the bottom, the crunch is at the top and now is somewhere below the middle as space is still expanding. I'll show us as a dot in the middle: _____ crunch ^ / \ ( . ) ___ now \ / V _____ bang A photon from the bang would pass us at 45 degrees to a horizontal on that diagram _____ crunch ^ / \ ( / ) ___ photon \ / V _____ bang Now extend that line in both directions always keeping it at 45 degrees to a horizontal until it reaches all the way from the bang to the crunch. If you now look down from the top and assuming the football is transparent, the line is a curve that goes 180 degrees round the football. If the maximum extent looking down is a circle, then the path of the light I think would be a smaller circle drawn between the centre of the larger circle and the circumference. Hence in this closed universe a photon only gets half way round the universe between bang and crunch, you couldn't see the back of your head even with a big enough telescope. I will again emphasise this is an obsolete model which has greater than critical density and no cosmological constant. My figure of 6300 LY would suggest it was opaque at 372,700 years and transparent at 379,000 years. "In an instant" doesn't seem inappropriate in cosmological terms. ... but it does to a mechanical engineer! Is the "thickness" being the same order of magnitude as the global "quench" meaningful? What do you mean by "global 'quench'"? What was completed by "379,000 years". The plasma was quenched to a normal matter state. If we were expanding compressed air as an analogy, it the point at which water vapor (as opposed to steam) would form. OK, but then 6300 years is two order smaller than that, not the same order of magnitude. 379,000 - 372,700 = 6,300 WMAP says recombination was about 380,000 years after the bang, I subtracted 6300 to get 372,700. ... looks like the same order of magnitude. 378,000 is about two orders greater than 6300. The z of the CMBR can be thought of as produced by motion of the source away from us but it can also be considered as similar to gravitational redshift or a stretching of the wavelength of the photon while it was travelling through space that was being stretched. That sucked when Paul Lutus was feeding it to me. It is a standard way of expressing it. I'm not keen myself but I think the three descriptions are effectively equivalent while appearing different in the same sense as wave/particle duality. But it requires that the photon give up some of its energy, yet retain the vector portion of its mometum entirely intact. We don't know how to do that. Both energy and momentum are proportional to frequency, and both values are frame-dependent. "We don't know how to do that." Stretching is what we don't know how to do. I thought you said we didn't know how to reduce the energy without reducing the momentum which is true. What we do see right here/now is gravitational time dilation, which is sufficient also to describe the redshift of ancient light. Gravitational time dilation, Doppler shift and stretching are all ways of describing the effect that reduces the frequency. Reducing the frequency affects both energy and momentum. You said "But it requires that the photon give up some of its energy, yet retain the vector portion of its mometum entirely intact" which isn't correct. QUOTE Note that the redshift-velocity law is not the special relativistic Doppler shift law 1+z = sqrt[(1+v/c)/(1-v/c)] which only applies to special relativistic coordinates, not to cosmological coordinates. END QUOTE neither a search for "kinetic" nor "motion" yielded as clear a delineation as I'd like. I think we have lost the thread on this, that is just "the velocity" and doesn't draw any distinctions. It does, George. It delineates between velocity in Minkowski spacetime, |