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#21
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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:AvzKe.6008$E95.4317@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:yxdKe.308849$Qo.131840@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... ... ... have you looked at Andrew Hamilton's animations? http://casa.colorado.edu/~ajsh/schw.shtml External objects end up sweeping an arc across the sky. Other objects in other places do the same. Definitely NOT specular images. And this is a non-rotating BH, which adds yet another twist (literally) to the infalling light. And note that in the simulation, the external-Universe stars don't change color. The point is that you can see them, there is nothing at the event horizon but vacuum. It isn't a physical barrier but just a location. You can't "see them". They are no longer point sources, but area sources. Why? Those on Andrew's page are nearby and start as areas (just as we see the Sun) and are then distorted. Distant point sources would surely remain as points, wouldn't they? What we see isn't. Of course, we can't resolve that fine either. Yet. Andrew's page doesn't depart from the classical Schwarzchild solution, he expects that we "travel at the speed of light", yet we strike the singularity in finite time. Maybe I'm trying to read more into the pages than he intends. "Like" the CMBRM. ... Yes. Unfortunately, if outer-r becomes timelike, the entire history of the container Universe is written on the inner Big Bang... at least until the contained Universe evaporates. Anything that ever (outer-time) infalls, arrvies at the inner "Big Bang". I don't believe that is physical though, just an artificial peculiarity of the coordinates Schwarzschild used. Kruskal still has it timelike. It is not a peculiarity, but a requirement. Of course, but isn't the time axis contiguous through the horizon? It was the switch between spatial and temporal that I thought was the artefact. No. The outer-space axis stops, and the inner-time axis starts. And this might simply be an artifact of the Kruskal coordinates. The other metric you referred to (Eddington - __________) had the inner-time axis part outer-time and part outer-space. Andrew Hamilton's pages would take such effects into account. Perhaps. Not doubting the abilities, just questioning what a "Universe full of stars" would look like. Go out in your back yard one night ;-) Serously though, why would you expect to see anything different? I would expect to see the CMBRM, frankly. Without an intervening plasma cloud, I would expect to see a smeared out image of the outer-history of our container Universe. True but the point was simply that you would still receive photons from outside. Still receive photons is not at issue. Are they specular? No. Are they diffuse? Yes and no. Is the surfaceo-of-last-emission transparent? What surface? The surface of the star that originally emitted the light. Someone well outside the event horizon would see a sky not unlike our own (perhaps brighter if the were in the core of a galaxy). One wonders if the container Universe has "one less" compactified dimension than we do. But this is for another "wondering"... Someone infalling just inside the horizon would see the same but squished into a smaller fraction of the sky with the rest looking devoid of sources. You seem to be saying the whole sky would be illuminated but it should be more like looking through a pinhole lens above you. That is what Andrew says, yes. But that is not what the Kruskal coordinates indicate to me. What you see "just inside" is *completely disconnected* from outer-time (it is after all orthogonal to outer-space, which we have turned into inner-time with our "travelling at the speed of light"). What you see may be the entire light-infall history of the outer-Univserse, from the formation of our black hole, until it evaporates. There is no material to emit at the event horizon, it is a location and all matter is passing it at the speed of light as determined by an observer at infinity (I think!). Not quite. It is a location in *time*, and all matter (and energy) propagate from there. And I understand that you are uncomfortable with this. I am uncomfortable with the idea that there is a physical exchange of axes because I have read many times that it was never real, just a problem with the coordinates, but I can't find useful references and I may be mistaken about which coordinates had and resolved the problem. I am playing with this. I am seeing how "far into the dark" it will take me. I am neither buying nor selling stock. The kinetic velocities obtained in the new internal space will likely only be sufficient to conserve energy and momentum. Velocity relative to what? Relative to an observer outside the horizon, it is greater than the speed of light (I think). Velocity relative to other massive infallees. The progenitors of quasars, galaxies, sperm whales, and potted flowers. No. Is the "photon historical record" of infalling light through the event horizon isothermal? No, it has the spectrum of whatever stars and external objects produced it only severely blue shifted (depending on the motion of the infalling observer as you said). *Integrated over time*. Why? We only see what is on our past light cone. Our light cone cannot see beyond the "beginning of time". The outer-Universe does not have this constraint. It can drop light in in its own time, and it enters our inner Universe "at the Big Bang". Note I am not entirely diagreeing. I wonder whether primordial black holes could have grown rapidly in such a high density environment that they existed before the mix became transparent and were the seeds of what are now galactic clusters. I think we may lewarn a lot when we can detect Pop III SNe but we will have to wait for at least the next generation of telescopes to come on line. No one currently believes the Universe started out "the size of a grapefruit", Put "grapefruit inflation cosmology" into Google and you will get about 600 hits ;-) It is the conventional view at the moment I believe. http://zebu.uoregon.edu/~imamura/123...lecture-7.html "During inflation, the Universe increases in size by a huge factor -- perhaps by as much as a factor of 10^(10^12)!!! Some models say that the size of the current Universe increased from 10^-50 centimeters to roughly the size of a grapefruit during inflation." The lecture seems contradictory on the period of inflation, saying it started at the end of the era from 10^-43s to 10^-35s and ending at the start of the next period. Anyway, the use of a grapefruit to illustrate the size wasn't my idea! I find it hard to swallow expansion at greater than c, in a closed Universe, with light easily able to circumnavigate it. It seems to me could only work if the Unvierse were absolutely homogeneous. unless they also posit "c_BB c_now". You "helped establish" the CMBRM was many tens of million light years thick, only ~300,000 years after the BB, based on the (lack of) spectra. You can't get that big from a point (essentially) in that time. Or am I misunderstanding again? You are misunderstanding something but this has moved on so I'll reply to a later post. OK. The simple answer is that GR says there was no container and the density was far too high to see through it anyway when you go back far enough. The "surface of last scattering" is a feature of the gas _in_ the universe and a black hole has nothing equivalent. GR *does* allow description of a container, It does allow it for a black hole but not for the big bang AIUI. The big bang is closer to a white hole in GR. Which describes the inside of an event horizon, in Kruskal coordinates, to a "t". but it is a description you are not comfortable with. No it was your switching of teporal and spatial axes that I doubt. OK. Not really "switching", since inner-space is only constrained to be orthogonal to inner-time, so if you *assume* something about the relationship between outer-space and inner-time (as Kruskal does), you still can't say anything about the relationship between outer-space and inner-space. The inside of the event horizon is the only spatial location in the newly minted space from which the light could have come, so is therefore opaque. And you are reciting the established/accepted source of the CMBR, that does not obviate an alternate choice of sources *fully in compliance with GR*. GR says the event horizon is just a place in the vacuum so it allows light to pass inwards freely. Light could also pass outwards execpt that any source inside is moving away from an external observer faster than the speed of light so it cannot reach them, the light falls inwards even if emitted in an outwards direction. I am saying that the horizon isn't opaque and I don't know why you are suggesting it would be. Because the "inside of the event horizon" is a coordinate in time... not space. There is no "place" in this Universe before "the beginning". So the apparent position of the light source is... NOT in this Universe. The light is sourced from the Big Bang, as far as us infalling denizens are concerned. GR doesn't require that the CMBRM be Universe filling gas, unless gas is the source. GR doesn't provide a source for the CMBR of any kind, you need matter to produce it. Doesn't have to be matter "in here". Could even be our Universe consuming the odd Hawking radiation from our own evaporating hole. The source could be a container Universe, depending on the answer to my question to Tom. If there were a container then the source could be the matter in the container universe in which case the light would have falling in through the horizon. That is quite different to saying it was the horizon that produced the light or that the horizon is opaque and could in some way thermalise the spectrum of the stars in the container. It is a lousy word game, George. You think based on Andrew's simulations, that light enters more-or-less spectrally. You don't think that an entire outer-Universe (of whatever age) could be doing this, and that its entire history (positions, temperatures, size, curvature, etc.) could arrive at the same innner-instant. The surface-of-last-emission *isn't in this Universe*, only the Big Bang is. Even so, it could be a way to resolve the age of the Universe that contains us, since only certain light profiles could result in what we see. Or not. I'm not sure what you are trying to resolve, the age appears to be 13.7 billion years. I've said what I am trying to achieve too many times. I'm trying to allow discovery of coalesced objects right up to the CMBR. I'm trying to allow for heavier atoms to exist in quantity right up to the CMBR. It turns out I'm trying to allow us to attempt to be able to see the Universe that spawned us. As I have said, my "hypothesis" allows for structures to be found right up to the CMBRM, even for heavier elements to be present from the "get go". And since infalling light is not fatally blue shifted for those that are "falling towards the singularity", the CMBRM is not necessary to have protected us from the "fires of creation". I don't follow, if we were falling towards a singularity, the universe would be shrinking. No. The outer r becomes inner t. I don't accept that, I believe it was found to be an artefact of the maths only. I will be happy if you can show me to be wrong though. Once I can go back to school, after my kids graduate, perhaps I'll have enough brain left to do that. Don't hold your breath. The outer Universe "expects us" to become more and more dense. We have internal-space that is orthogonal to our time. This space is defined by c and time. The speed of light (as expected by the outer Universe) is an inverse function of density. As we approach a singularity (from outer reconing), c approaches 0 (as the outer Universe expects, Pardon? c is invariant in GR locally. The outer universe sees increasing time dialtion but that doesn't change c. I'm realy not following what you are saying here at all. Shapiro time delay. The value of c *is* c locally. We are NOT local to the outer Universe. It has us becoming more and more dense, approaching a singularity at c, in some finite time. c decreases with both increasing curvature and increasing density. not as we would observe), and space becomes larger and larger. Viola! Expansion. The problem is the "discontinuity" that occurs at the event horizon, and the confusion between inner and outer coordinates that results. But that is just a description problem (eg: non-standard verbage is required). Or better coordinates! Perhaps. Perhaps work with "dual to black holes" will provide sone additional insight. "Better" isn't always "more comfortable". I also don't agree with the infalling light being necessarily fatal. I wasn't really saying that earlier. I wasn't sure what you meant by: I can't be sure what we would have seen had it not existed, but then we wouldn't be here to see anything. ... perhaps that there would be no matter for us to be comprised of... Yes, that was it. What the universe would look like if it contained no matter whatsoever is moot! This is where I diverge with Bjoern. He believes you can have a Universe without matter. You can solve the equations for that condition, but we wouldn't be in it. But Einstein suggests that spacetime is the product of all mass-energy in the Universe (if I understand correctly). This means no mass/energy provides null spacetime. It is partly philosophical, what does it mean to calculate the trajectory of a test paticle in a universe devoid of particles ;-) Very true. Is it moving? How can it be a test particle, if it has no other mass to be negligible wrt? Given a Universe, you have mass/energy. Given mass/energy, you have spacetime. That seems more relevant to our situation. .... BUT ... Is spacetime something that can exist with mass/energy? We can model it, just as we can model Euclidian spacetime. When you *shred* spacetime with curvature so high that the carrier for all distance-related features (aka. light) can no longer communciate two-way to the gestalt of the Universe, does it simply "twist" and set up shop again? Because an outer Universe no longer detects the momentum of objects that fall into a black hole (except in gestalt), does this mean the momentum is lost? That was my point, even after crossing the event horizon, you would still be able to see the part of the universe you had left hence the horizon cannot be opaque. There is no part of the external Universe that extends into the internal Universe. What you see, perhaps, is all the positions and all the intensities of all the stars, and the container Universe's CMBR, spread across 2 pi steradians... for all time. Neglecting expansion, which only serves to red shift the panopoly. It *is* opaque, it is NOT specular. You cannot see before the Big Bang, even without a CMBRM. But you would in what you describe, you would be seeing "all the stars" in the container Universe, the horizon would only be a location in the vacuum. Only as a plenum. The "off ramp" is all you can see, with the CMBR as the "sound of car horns" on a freeway to which we are but a side road. It would have to be seeing the lights of cars coming down the off ramp. Even from a great distance where the individual lights cannot be distinguished, the integrated spectrum would be a blend of many thermal curves but at different temperatures (types of bulbs) and that mix wouldn't be thermal itself. That is my question. Integrated "over all time", and the large angles of space we can resolve it at, I wonder that it could not appear as anything but "isothermal". Structures can infall into large black holes and survive... probably not gravitationally bound ones, but who knows. Maybe the nature of the early Universe actually tells us how steep the off ramp is (namely something about how many of the four forces yield to the curvature of the event horizon). for a very large black hole, the acceleration at the horizon is negligible. I believe a human in a spacesuit could easily survive crossing the horizon of a super-massive BH with nothing more than a spacesuit. These things are bound by c-moderated forces. Consider the Roche limit. Do you think that "gravitationally bound" structures could survive intact? I don't think so. No matter how large the BH... David A. Smith |
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#22
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"N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:YsdLe.25309$E95.8692@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:AvzKe.6008$E95.4317@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:yxdKe.308849$Qo.131840@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... ... ... have you looked at Andrew Hamilton's animations? http://casa.colorado.edu/~ajsh/schw.shtml External objects end up sweeping an arc across the sky. Other objects in other places do the same. Definitely NOT specular images. And this is a non-rotating BH, which adds yet another twist (literally) to the infalling light. And note that in the simulation, the external-Universe stars don't change color. The point is that you can see them, there is nothing at the event horizon but vacuum. It isn't a physical barrier but just a location. You can't "see them". They are no longer point sources, but area sources. Why? Those on Andrew's page are nearby and start as areas (just as we see the Sun) and are then distorted. Distant point sources would surely remain as points, wouldn't they? What we see isn't. Of course, we can't resolve that fine either. Yet. What we see in our sky is mostly black with a little light from high temperature sources. The CMBR matches a source covering 4 pi steradins at low temperature. There is a big difference between those even if we couldn't resolve the individual sources. Andrew's page doesn't depart from the classical Schwarzchild solution, he expects that we "travel at the speed of light", yet we strike the singularity in finite time. Maybe I'm trying to read more into the pages than he intends. I think he simply intends to illustrate what GR predicts. Kruskal still has it timelike. It is not a peculiarity, but a requirement. Of course, but isn't the time axis contiguous through the horizon? It was the switch between spatial and temporal that I thought was the artefact. No. The outer-space axis stops, and the inner-time axis starts. And this might simply be an artifact of the Kruskal coordinates. The other metric you referred to (Eddington - __________) had the inner-time axis part outer-time and part outer-space. I have been trying to find something on this and this is the best I have found so far: http://math.ucr.edu/home/baez/RelWWW/wrong.html#holes Note the bullet list below the Penrose diagram "The Schwarzschild solution 'changes signature' at the event horizon. This is incorrect--- this is a common student misconception which arises from misunderstanding the nature of the coordinate singularity in the Schwarzschild chart for the external region at r = 2m." Chris then references this post: http://math.ucr.edu/home/baez/PUB/line and if you can follow that lot you will know far more about the subject than I ever will! Someone infalling just inside the horizon would see the same but squished into a smaller fraction of the sky with the rest looking devoid of sources. You seem to be saying the whole sky would be illuminated but it should be more like looking through a pinhole lens above you. That is what Andrew says, yes. But that is not what the Kruskal coordinates indicate to me. Coordinates are just a way of understanding the situation and without some sort of software to ray-trace the infalling light to the observer, I don't see how you can make any prediction. Still, maybe your intuition is that far beyond mine. What you see "just inside" is *completely disconnected* from outer-time (it is after all orthogonal to outer-space, which we have turned into inner-time with our "travelling at the speed of light"). What you see may be the entire light-infall history of the outer-Univserse, from the formation of our black hole, until it evaporates. See Chris Hillman's page on common fallacies. "During inflation, the Universe increases in size by a huge factor -- perhaps by as much as a factor of 10^(10^12)!!! Some models say that the size of the current Universe increased from 10^-50 centimeters to roughly the size of a grapefruit during inflation." The lecture seems contradictory on the period of inflation, saying it started at the end of the era from 10^-43s to 10^-35s and ending at the start of the next period. Anyway, the use of a grapefruit to illustrate the size wasn't my idea! I find it hard to swallow expansion at greater than c, in a closed Universe, with light easily able to circumnavigate it. Well I think a closed universe is now considered by most to be a low probability, but that doesn't really matter in that inflation is compatible with GR which is what the BB model is built on. It seems to me could only work if the Unvierse were absolutely homogeneous. Again I don't follow that. The simple answer is that GR says there was no container and the density was far too high to see through it anyway when you go back far enough. The "surface of last scattering" is a feature of the gas _in_ the universe and a black hole has nothing equivalent. GR *does* allow description of a container, It does allow it for a black hole but not for the big bang AIUI. The big bang is closer to a white hole in GR. Which describes the inside of an event horizon, in Kruskal coordinates, to a "t". You really need someone familiar with GR to comment on that and some of your following points. I'm out of my depth but it appears what you are saying is still derived from the supposed coordinate change. GR doesn't require that the CMBRM be Universe filling gas, unless gas is the source. GR doesn't provide a source for the CMBR of any kind, you need matter to produce it. Doesn't have to be matter "in here". Could even be our Universe consuming the odd Hawking radiation from our own evaporating hole. Now that is more like it. Hawking radiation viewed from the inside as a source of the CMBR is at least qualitatively sensible. However, the temperature is only high for a very small hole, not universe sized. Still, it is more credible than stars in the container because it is black body and would fill the horizon. The source could be a container Universe, depending on the answer to my question to Tom. If there were a container then the source could be the matter in the container universe in which case the light would have falling in through the horizon. That is quite different to saying it was the horizon that produced the light or that the horizon is opaque and could in some way thermalise the spectrum of the stars in the container. It is a lousy word game, George. You think based on Andrew's simulations, that light enters more-or-less spectrally. It seems clear to me from his simulation plus numerous spacetime diagrams in various coordinates that looking out through the horizon would be like looking through a badly bulging sheet of glass with the added bonus of extreme frequency shifts. There would be tremendous distortion and it would become a bright area in a dark sky as you fell further. You don't think that an entire outer-Universe (of whatever age) could be doing this, and that its entire history (positions, temperatures, size, curvature, etc.) could arrive at the same innner-instant. The surface-of-last-emission *isn't in this Universe*, only the Big Bang is. No, I think that idea comes from thinking that time in the exterior becomes space in the interior which I have seen said to be a fallacy many times. .... I'm trying to allow for heavier atoms to exist in quantity right up to the CMBR. It turns out I'm trying to allow us to attempt to be able to see the Universe that spawned us. David, I don't think of you as a crank by any means but perhaps I could say something that may give that impression to elicit an explanation in the form of your rebuttal. Please don't take it the wrong way: It seems to me that you are trying to find a way to remove the H/He mix as the source of the CMBR not because you see any observational or theoretical evidence that causes you to question it, but only because you would like to be able to see back to the big bang itself. How would you disabuse me of that impression? I'll snip the rest as it seems to be mostly covered by what we have said above. George |
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#23
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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:YsdLe.25309$E95.8692@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:AvzKe.6008$E95.4317@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:yxdKe.308849$Qo.131840@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... ... ... have you looked at Andrew Hamilton's animations? http://casa.colorado.edu/~ajsh/schw.shtml External objects end up sweeping an arc across the sky. Other objects in other places do the same. Definitely NOT specular images. And this is a non-rotating BH, which adds yet another twist (literally) to the infalling light. And note that in the simulation, the external-Universe stars don't change color. The point is that you can see them, there is nothing at the event horizon but vacuum. It isn't a physical barrier but just a location. You can't "see them". They are no longer point sources, but area sources. Why? Those on Andrew's page are nearby and start as areas (just as we see the Sun) and are then distorted. Distant point sources would surely remain as points, wouldn't they? What we see isn't. Of course, we can't resolve that fine either. Yet. What we see in our sky is mostly black with a little light from high temperature sources. The CMBR matches a source covering 4 pi steradins at low temperature. There is a big difference between those even if we couldn't resolve the individual sources. And if those high temperature sources were averaged over "all time", they would be distant and hot, and close and cool, and everything in between. And if they were further diffuse, rather than specular, they might still not add up to a "black body curve". Just have to see. Andrew's page doesn't depart from the classical Schwarzchild solution, he expects that we "travel at the speed of light", yet we strike the singularity in finite time. Maybe I'm trying to read more into the pages than he intends. I think he simply intends to illustrate what GR predicts. *One* set of solutions, and not Kruskal coordinates. He made assumptions, assumptions not evident without mining his pages. I think I'd rather kill my hypothesis with logic (integrating over the surface) rather than use someone else's assumptions to try and do it. I am very uncomfortable with his assumption that we could fall at c... for example. Kruskal still has it timelike. It is not a peculiarity, but a requirement. Of course, but isn't the time axis contiguous through the horizon? It was the switch between spatial and temporal that I thought was the artefact. No. The outer-space axis stops, and the inner-time axis starts. And this might simply be an artifact of the Kruskal coordinates. The other metric you referred to (Eddington - __________) had the inner-time axis part outer-time and part outer-space. I have been trying to find something on this and this is the best I have found so far: http://math.ucr.edu/home/baez/RelWWW/wrong.html#holes Note the bullet list below the Penrose diagram "The Schwarzschild solution 'changes signature' at the event horizon. This is incorrect--- this is a common student misconception which arises from misunderstanding the nature of the coordinate singularity in the Schwarzschild chart for the external region at r = 2m." Note that his comment applies "for the external region"... Chris then references this post: http://math.ucr.edu/home/baez/PUB/line and if you can follow that lot you will know far more about the subject than I ever will! Some appropriate quotes: QUOTE Terminology: at this point we have introduced four classes of observers in the Schwarzschild vacuum whose physical experience we can profitably study: .... 3. "Novikov observers" who fall radially inwards from rest at r = r0. |
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#24
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"N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:81xLe.35947$E95.12374@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:YsdLe.25309$E95.8692@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:AvzKe.6008$E95.4317@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:yxdKe.308849$Qo.131840@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... ... ... have you looked at Andrew Hamilton's animations? http://casa.colorado.edu/~ajsh/schw.shtml External objects end up sweeping an arc across the sky. Other objects in other places do the same. Definitely NOT specular images. And this is a non-rotating BH, which adds yet another twist (literally) to the infalling light. And note that in the simulation, the external-Universe stars don't change color. The point is that you can see them, there is nothing at the event horizon but vacuum. It isn't a physical barrier but just a location. You can't "see them". They are no longer point sources, but area sources. Why? Those on Andrew's page are nearby and start as areas (just as we see the Sun) and are then distorted. Distant point sources would surely remain as points, wouldn't they? What we see isn't. Of course, we can't resolve that fine either. Yet. What we see in our sky is mostly black with a little light from high temperature sources. The CMBR matches a source covering 4 pi steradins at low temperature. There is a big difference between those even if we couldn't resolve the individual sources. And if those high temperature sources were averaged over "all time", they would be distant and hot, and close and cool, and everything in between. When we look at a distant star, we see it at one particular time in the past related to its distance. Looking out through an event horizon would not change that. And if they were further diffuse, rather than specular, they might still not add up to a "black body curve". Just have to see. Andrew's page doesn't depart from the classical Schwarzchild solution, he expects that we "travel at the speed of light", yet we strike the singularity in finite time. Maybe I'm trying to read more into the pages than he intends. I think he simply intends to illustrate what GR predicts. *One* set of solutions, and not Kruskal coordinates. A change of coordinates cannot change the appearance, it must be the same in all though some may be easier to use than others. It is the same as using cartesian or polar coordinates to calculate the effect of an inverse square law force, one or the other might be easier but both must predict Keplerian orbits. He made assumptions, assumptions not evident without mining his pages. Ah now that's different and very interesting. Can you give me a pointer to what you found? I think I'd rather kill my hypothesis with logic (integrating over the surface) rather than use someone else's assumptions to try and do it. I am very uncomfortable with his assumption that we could fall at c... for example. Relative to what? Relative to an observer at infinity, that's not an assumption but derived from the theory. Kruskal still has it timelike. It is not a peculiarity, but a requirement. Of course, but isn't the time axis contiguous through the horizon? It was the switch between spatial and temporal that I thought was the artefact. No. The outer-space axis stops, and the inner-time axis starts. And this might simply be an artifact of the Kruskal coordinates. The other metric you referred to (Eddington - __________) had the inner-time axis part outer-time and part outer-space. I have been trying to find something on this and this is the best I have found so far: http://math.ucr.edu/home/baez/RelWWW/wrong.html#holes Note the bullet list below the Penrose diagram "The Schwarzschild solution 'changes signature' at the event horizon. This is incorrect--- this is a common student misconception which arises from misunderstanding the nature of the coordinate singularity in the Schwarzschild chart for the external region at r = 2m." Note that his comment applies "for the external region"... No, his comment is that the existence of a change of signature is incorrect. He explains that this "arises from misunderstanding the nature of the coordinate singularity ... for the external region" snip quoted text The same objects, will provide multiple specular images. And this is still outside the event horizon. Interesting but as you say those were for an external observer and external sources. Chris Hillman's webpage is referenced at the bottom, but of course Chris is "gone"... Is he? It's several years since I followed the group. That's a shame. ... without some sort of software to ray-trace the infalling light to the observer, I don't see how you can make any prediction. Still, maybe your intuition is that far beyond mine. We can always make a prediction, if we are not afraid to be wrong. They only way to be wrong is misapplying the theory or making an error in the maths. Predictions are made by the equations, not the person. Hypotheses are like that. You place the key in the ignition, and hope the wheels don't fall off before you get off the lot... Hypotheses and postulates are another matter entirely. What you see "just inside" is *completely disconnected* from outer-time (it is after all orthogonal to outer-space, which we have turned into inner-time with our "travelling at the speed of light"). What you see may be the entire light-infall history of the outer-Univserse, from the formation of our black hole, until it evaporates. See Chris Hillman's page on common fallacies. It doesn't forbid my interpretation. I think it does actually, Chris is just letting you know that there is no change of signature predicted by the equations of GR. If you want to discard GR and come up with an alternative then perhaps that might but that's another matter again. "During inflation, the Universe increases in size by a huge factor -- perhaps by as much as a factor of 10^(10^12)!!! Some models say that the size of the current Universe increased from 10^-50 centimeters to roughly the size of a grapefruit during inflation." The lecture seems contradictory on the period of inflation, saying it started at the end of the era from 10^-43s to 10^-35s and ending at the start of the next period. Anyway, the use of a grapefruit to illustrate the size wasn't my idea! I find it hard to swallow expansion at greater than c, in a closed Universe, with light easily able to circumnavigate it. Well I think a closed universe is now considered by most to be a low probability, but that doesn't really matter in that inflation is compatible with GR which is what the BB model is built on. 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. 2) Density equal to the critical value means spatially and temporally infinite, no big crunch. Expansion continues for ever but is asymptotic to zero speed. 3) Density less than the critical value also means spatially and temporally infinite and expansion continues for ever but never slows to zero. Wright addresses this a bit he http://www.astro.ucla.edu/~wright/cosmo_03.htm Dark energy throughs a spanner in the works so different combinations of open/closed and a crunch become possible. Expansion doesn't involve expanding "into" anything, Correct. so how can we verify an extent into which matter is entering "new" space? It isn't, old space is stretching. It seems to me could only work if the Unvierse were absolutely homogeneous. Again I don't follow that. It doesn't mean much, but energy (even kinetic) provides gravitational attraction. But: - expansion isn't kinetic motion, Other than the dark energy contribution, you will find many argue it is precisely that, the remnant kinetic motion from t=0. The sum of that kinetic energy and gravitational potential energy is zero in many of the GR models. and - the "velocity" is now sub-c anyway. Velocity of matter relative to the local co-moving reference, yes, but matter beyond our horizon is still moving at greater than c at present due to the expansion of the intervening space. The simple answer is that GR says there was no container and the density was far too high to see through it anyway when you go back far enough. The "surface of last scattering" is a feature of the gas _in_ the universe and a black hole has nothing equivalent. GR *does* allow description of a container, It does allow it for a black hole but not for the big bang AIUI. The big bang is closer to a white hole in GR. Which describes the inside of an event horizon, in Kruskal coordinates, to a "t". You really need someone familiar with GR to comment on that and some of your following points. I'm out of my depth but it appears what you are saying is still derived from the supposed coordinate change. A "what if". Correct. GR doesn't require that the CMBRM be Universe filling gas, unless gas is the source. GR doesn't provide a source for the CMBR of any kind, you need matter to produce it. Doesn't have to be matter "in here". Could even be our Universe consuming the odd Hawking radiation from our own evaporating hole. Now that is more like it. Hawking radiation viewed from the inside as a source of the CMBR is at least qualitatively sensible. However, the temperature is only high for a very small hole, not universe sized. But if the entire history of our event horizon is written there... from first creation (at likely very low black body temperature) until the last squeak of the "balloon deflating" into a very cold Universe (an extremely hot and very small surface, with very short history). Then you would get an almost flat spectrum. A black body would require either one constant temperature throughout the history or a red-shift from it to us that exactly matched the variation in temreature over time. Still, it is more credible than stars in the container because it is black body and would fill the horizon. See the stuff I quoted above. I still believe, without material support (yet), that the integrated history of any surface over a long period *could* approximate a black body. See above. It is a lousy word game, George. You think based on Andrew's simulations, that light enters more-or-less spectrally. It seems clear to me from his simulation plus numerous spacetime diagrams in various coordinates that looking out through the horizon would be like looking through a badly bulging sheet of glass with the added bonus of extreme frequency shifts. There would be tremendous distortion and it would become a bright area in a dark sky as you fell further. And multiple *apparent* sources, From the section from the FAQ you quoted, that is the case externally. Internally I think you only see one copy of each. Outside a ray can wind several times round the hole before it is seen without crossing the horizon (I think) and of course you are familiar with the "Einstein cross". and diffused sources, and so on. I'm less sure of that one, I need to read Andrew's pages again (later). And this is without "buying into" the event horizon appearing as a source for all the light (and other stuff) that ever infell, delivered on "day one". I certainly don't accept that unless you can show it follows from the theory. You don't think that an entire outer-Universe (of whatever age) could be doing this, and that its entire history (positions, temperatures, size, curvature, etc.) could arrive at the same innner-instant. The surface-of-last-emission *isn't in this Universe*, only the Big Bang is. No, I think that idea comes from thinking that time in the exterior becomes space in the interior which I have seen said to be a fallacy many times. *I* haven't seen it said to be a fallacy *any* times, George. Other than by those that profess to not know GR, but offer opinions on it anyway. And Bjoern, who definately does know GR. Not trying to slam you or anyone else. Chris's page is one example where he says it is "a common student misconception". I am sure I have seen similar statements elsewhere. It is a valid and accepted way to model a black hole. It has consequences. *These* consequences are testable. If Kruskal is a valid method, and describes an internal Universe with separate spacetime, we should be able to "look back". Depending on the nature of the CMBRM. We are defined by our questions. I commented on coordinates earlier. ... I'm trying to allow for heavier atoms to exist in quantity right up to the CMBR. It turns out I'm trying to allow us to attempt to be able to see the Universe that spawned us. David, I don't think of you as a crank by any means but perhaps I could say something that may give that impression to elicit an explanation in the form of your rebuttal. Please don't take it the wrong way: It seems to me that you are trying to find a way to remove the H/He mix as the source of the CMBR not because you see any observational or theoretical evidence that causes you to question it, but only because you would like to be able to see back to the big bang itself. How would you disabuse me of that impression? I'll snip the rest as it seems to be mostly covered by what we have said above. Please do consider me a crank, I don't but the answers you give next clear up a lot, that was my hope. if you can deliver the "death blow" necessary to retire this idea. "Being nice" isn't going to do anyone any good. I am not trying to falsify it, just understand what motivated it in the first place. I am trying *only* to offer an alternative to "uniformly distributed, opaque plasma" as the source for the CMBR. *If* my hypothesis is correct, the "hint of structure" that we are beginning to resolve in the CMBRM, could be possibly/maybe/perhaps resolved into an image of the Universe that contains ours. I will admit that the "uniformly distributed, opaque plasma" bothered me, because: 1) I didn't think that any "normal matter" could be made to do that at 3000 K; and 2) I didn't think that that matter, once cooled and somewhat coalesced, wouldn't write its absorption lines in the CMBR light; and 3) Structures are being found close to the CMBRM, indicating that galaxy formation is going to have to be revised to be very fast indeed.; and 4) The presence of heavy metals in any given spiral galactic disc requires a rate of supernova occurence that is not "seen" even today, much less close to the CMBRM. I have been relieved of my incorrect notions 1) and 2). That's good, it saves me some typing ;-) Notion 4) is likely only my (ill-informed) imagination. Well certainly the absence of metals in Pop II stars and nebulae would be a problem under notion 4. Galaxies undergoing high rates of star formation are seen and IIRC rates around 10 billion years ago are at least an order of magnitude higher than now. Also look up Pop III stars. With low metallicity, lifetimes were shorter too (IIRC). I'll try to find more later but this isn't a problem. Notion 3) hasn't really happened yet. No, more mature galaxies are being found earlier than expected but at the same time the role of super-massive black holes is being reconsidered and simltaneous evolution is looking more favourable. Given the high density in the early universe, the existence of super-massive black holes prior to decoupling would not surprise me, but the formation of solid objects at those temperatures would. I am simply playing with what still appears to be a possibility that is in agreement with GR, and provides an "open sky" for any observations of structures and heavy metals in any quantity in this Universe, right up to the Big Bang. I didn't come here (with this thread) thinking we could resolve the "face of God" or anything. Resolving the container Universe would simply be a benefit of not having "Universe-filling" opaque plasma between *now* and the beginning. And I didn't think of that until, what, two responses ago. OK, that is a side effect, but why are you trying to do away with the plasma? The elemental abundancies match the nucleosynthesis model very well but require high density and teperatures around 10^9K. We see samples of that mix in Pop II stars so losing the low-metallicity early universe would be an immense problem. Other than placing my heart out on my sleeve, this is the best I can do to "disabuse" you. You will believe me or not. You will tell me that you believe me or not. Nothing I do will change my fate either way. I will only tell you that I think I understand your thoughts more clearly as a result of your answers. I hope you and Steve have good weekends. I get to finish my flooring. Oh... boy. I haven't started mine yet :-( George |
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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:81xLe.35947$E95.12374@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:YsdLe.25309$E95.8692@fed1read01... .... going to attempt some deft trimming ... .... What we see in our sky is mostly black with a little light from high temperature sources. The CMBR matches a source covering 4 pi steradins at low temperature. There is a big difference between those even if we couldn't resolve the individual sources. And if those high temperature sources were averaged over "all time", they would be distant and hot, and close and cool, and everything in between. When we look at a distant star, we see it at one particular time in the past related to its distance. Looking out through an event horizon would not change that. I understand your assertion. Kruskal coordinates do not require/allow this. .... Andrew's page doesn't depart from the classical Schwarzchild solution, he expects that we "travel at the speed of light", yet we strike the singularity in finite time. Maybe I'm trying to read more into the pages than he intends. I think he simply intends to illustrate what GR predicts. *One* set of solutions, and not Kruskal coordinates. A change of coordinates cannot change the appearance, it must be the same in all though some may be easier to use than others. You say "it must be the same in all"? Space and time are irretrievably bound, which is the strong suite of GR. "That which works" out here, doesn't at/near an event horizon. It isn't just mathematics, it is a requirement of the model. Models can change, but unlikely they they will get fundamentally simpler, more easy to understand. I think you are being provincial. I accept that you do not wish to do the "leg work" required. It is the same as using cartesian or polar coordinates to calculate the effect of an inverse square law force, one or the other might be easier but both must predict Keplerian orbits. Yet "time stops" at the event horizon (stationary time, which of course is non-physical). Space must therefore stop since c and time define space (again, stationary space). Yet spacetime is a product of mass/energy, and a BH has that in plenty. I am proposing that things "must be the same in all". I am simply toying with *which* things are the same. Einstein (and Mach) suggested that the the things I think are important/invariant, NOT spacetime, is mass/energy. The field equations even "fabricate" spacetime from mass and energy terms, for crying out loud. He made assumptions, assumptions not evident without mining his pages. Ah now that's different and very interesting. Can you give me a pointer to what you found? .... adding the link back in for posterity ... URL:http://casa.colorado.edu/~ajsh/schw.shtml It isn't what I found, George. Read my sentence again. It is that I didn't find "what assumptions the pretty pictures are based on", in the infinte variations of how that can be expressed in the English language. Even he URL:http://casa.colorado.edu/~ajsh/home.html .... I don't see a path to the answer. I think I'd rather kill my hypothesis with logic (integrating over the surface) rather than use someone else's assumptions to try and do it. I am very uncomfortable with his assumption that we could fall at c... for example. Relative to what? Relative to an observer at infinity, that's not an assumption but derived from the theory. Really? Is that c at the infinite observer's location, or c at the local curvature to the faller? Look, George, we "fall at c" through time (hackles raise on the backs of necks of those whom I have now affronted). This is why the r axis is referred to as "timelike". Are there two time axes? I think Andrew's verbiage is no less "loose" than mine above, in his assertion. .... I have been trying to find something on this and this is the best I have found so far: http://math.ucr.edu/home/baez/RelWWW/wrong.html#holes Note the bullet list below the Penrose diagram "The Schwarzschild solution 'changes signature' at the event horizon. This is incorrect--- this is a common student misconception which arises from misunderstanding the nature of the coordinate singularity in the Schwarzschild chart for the external region at r = 2m." Note that his comment applies "for the external region"... No, his comment is that the existence of a change of signature is incorrect. He explains that this "arises from misunderstanding the nature of the coordinate singularity ... for the external region" The entire bullet point applies to the external region. It says something about the Scwarzchild coordinates at the event horizon. It says they are not usable on the inside. Kruskal is, and even Eddington has a *fundamentally different* "time axis" inside. snip quoted text The same objects, will provide multiple specular images. And this is still outside the event horizon. Interesting but as you say those were for an external observer and external sources. Do you think they get *more* pure, or make more "sense" on the inside? Chris Hillman's webpage is referenced at the bottom, but of course Chris is "gone"... Is he? It's several years since I followed the group. That's a shame. I don't know what happened. Only rumors. I miss the answers that I would get that would take me *days* (or more) to decipher. Bilge is frequently like that, when he is not "sweeping the floor". ... without some sort of software to ray-trace the infalling light to the observer, I don't see how you can make any prediction. Still, maybe your intuition is that far beyond mine. We can always make a prediction, if we are not afraid to be wrong. They only way to be wrong is misapplying the theory or making an error in the maths. Predictions are made by the equations, not the person. I disagree. Kruskal has his name on his choice of coordinates. He chose them because he wanted to make a prediction (or solve) to the inside of the event horizon. Predictions are *enabled* by models, and mathematics. Only people "give a sh*t" enough to need predictions, or make predictions. Hypotheses are like that. You place the key in the ignition, and hope the wheels don't fall off before you get off the lot... Hypotheses and postulates are another matter entirely. Do I not have an hypothesis? What you see "just inside" is *completely disconnected* from outer-time (it is after all orthogonal to outer-space, which we have turned into inner-time with our "travelling at the speed of light"). What you see may be the entire light-infall history of the outer-Univserse, from the formation of our black hole, until it evaporates. See Chris Hillman's page on common fallacies. It doesn't forbid my interpretation. I think it does actually, Chris is just letting you know that there is no change of signature predicted by the equations of GR. If you want to discard GR and come up with an alternative then perhaps that might but that's another matter again. You have misunderstood Chris' page, I believe. All the pages I have seen refer to the "radius" as "timelike" inside the BH, regardless of coordinate system. Are there two times? .... Well I think a closed universe is now considered by most to be a low probability, but that doesn't really matter in that inflation is compatible with GR which is what the BB model is built on. 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. I wonder why they feel that space would contract again in such a short time? The FRW metric has the Universe collapse again, but after many billions of years. 2) Density equal to the critical value means spatially and temporally infinite, no big crunch. Expansion continues for ever but is asymptotic to zero speed. Which doesn't quite appear here, because of "acceleration of expansion" 3) Density less than the critical value also means spatially and temporally infinite and expansion continues for ever but never slows to zero. Wright addresses this a bit he http://www.astro.ucla.edu/~wright/cosmo_03.htm Dark energy throughs a spanner in the works so different combinations of open/closed and a crunch become possible. And the cosmological constant as well/in addition... Expansion doesn't involve expanding "into" anything, Correct. so how can we verify an extent into which matter is entering "new" space? It isn't, old space is stretching. I guess it is the fabric of the English language that is stretching in my mind. When I hear "non-closed", I think of "opening into another space" either "in the beginning" or "in the middle" or "at the end". It seems to me could only work if the Unvierse were absolutely homogeneous. Again I don't follow that. It doesn't mean much, but energy (even kinetic) provides gravitational attraction. But: - expansion isn't kinetic motion, Other than the dark energy contribution, you will find many argue it is precisely that, the remnant kinetic motion from t=0. The sum of that kinetic energy and gravitational potential energy is zero in many of the GR models. However, our "expansion velocity" is much higher than our kinetic motion wrt the Universe at large. and - the "velocity" is now sub-c anyway. Velocity of matter relative to the local co-moving reference, yes, but matter beyond our horizon is still moving at greater than c at present due to the expansion of the intervening space. A "fact" we expect, and cannot ever verify. And I am not questioning, FWIW. .... Doesn't have to be matter "in here". Could even be our Universe consuming the odd Hawking radiation from our own evaporating hole. Now that is more like it. Hawking radiation viewed from the inside as a source of the CMBR is at least qualitatively sensible. However, the temperature is only high for a very small hole, not universe sized. But if the entire history of our event horizon is written there... from first creation (at likely very low black body temperature) until the last squeak of the "balloon deflating" into a very cold Universe (an extremely hot and very small surface, with very short history). Then you would get an almost flat spectrum. A black body would require either one constant temperature throughout the history or a red-shift from it to us that exactly matched the variation in temreature over time. I don't think it would be a flat spectrum, since an expanding Universe would decrease the intensity on the surface... if the surface were controlled/limited by the amount of matter/energy inside (ie. Schwarzchild radius). Still, it is more credible than stars in the container because it is black body and would fill the horizon. See the stuff I quoted above. I still believe, without material support (yet), that the integrated history of any surface over a long period *could* approximate a black body. See above. Seen. I just have to get some intensity and spectral data, make enough assumptions that a mechanical engineer can solve it (without cracking too many books I don't already own), and present the results. The laughter will eventually die down. It is a lousy word game, George. You think based on Andrew's simulations, that light enters more-or-less spectrally. It seems clear to me from his simulation plus numerous spacetime diagrams in various coordinates that looking out through the horizon would be like looking through a badly bulging sheet of glass with the added bonus of extreme frequency shifts. There would be tremendous distortion and it would become a bright area in a dark sky as you fell further. And multiple *apparent* sources, From the section from the FAQ you quoted, that is the case externally. Internally I think you only see one copy of each. Outside a ray can wind several times round the hole before it is seen without crossing the horizon (I think) and of course you are familiar with the "Einstein cross". And it can wind around and enter from mutiple places, because the hole is ingesting matter/energy and consuming/redefining the various rings. and diffused sources, and so on. I'm less sure of that one, I need to read Andrew's pages again (later). Take some time. We can do this once-a-week, so that I do not burn so much of your (and Steve's, and who-ever-else's) time. I respond quickly to show respect. But it is not like I can get to the place I need to in a very short period of time. We can even take this offline. And this is without "buying into" the event horizon appearing as a source for all the light (and other stuff) that ever infell, delivered on "day one". I certainly don't accept that unless you can show it follows from the theory. It does: Google with this exact search term: timelike OR time-like "black hole" site:.edu 3720 hits. The point is, is it worth/possible to check it? Can we use this model to describe the early Universe, or is it a "band aid" where none is required? No, I think that idea comes from thinking that time in the exterior becomes space in the interior which I have seen said to be a fallacy many times. *I* haven't seen it said to be a fallacy *any* times, George. Other than by those that profess to not know GR, but offer opinions on it anyway. And Bjoern, who definately does know GR. Not trying to slam you or anyone else. Chris's page is one example where he says it is "a common student misconception". I am sure I have seen similar statements elsewhere. I believe you misunderstood. It is a valid and accepted way to model a black hole. It has consequences. *These* consequences are testable. If Kruskal is a valid method, and describes an internal Universe with separate spacetime, we should be able to "look back". Depending on the nature of the CMBRM. We are defined by our questions. I commented on coordinates earlier. When is the last time you asked "what if"? ... I'm trying to allow for heavier atoms to exist in quantity right up to the CMBR. It turns out I'm trying to allow us to attempt to be able to see the Universe that spawned us. David, I don't think of you as a crank by any means but perhaps I could say something that may give that impression to elicit an explanation in the form of your rebuttal. Please don't take it the wrong way: It seems to me that you are trying to find a way to remove the H/He mix as the source of the CMBR not because you see any observational or theoretical evidence that causes you to question it, but only because you would like to be able to see back to the big bang itself. How would you disabuse me of that impression? I'll snip the rest as it seems to be mostly covered by what we have said above. Please do consider me a crank, I don't but the answers you give next clear up a lot, that was my hope. if you can deliver the "death blow" necessary to retire this idea. "Being nice" isn't going to do anyone any good. I am not trying to falsify it, just understand what motivated it in the first place. I am trying *only* to offer an alternative to "uniformly distributed, opaque plasma" as the source for the CMBR. *If* my hypothesis is correct, the "hint of structure" that we are beginning to resolve in the CMBRM, could be possibly/maybe/perhaps resolved into an image of the Universe that contains ours. I will admit that the "uniformly distributed, opaque plasma" bothered me, because: 1) I didn't think that any "normal matter" could be made to do that at 3000 K; and 2) I didn't think that that matter, once cooled and somewhat coalesced, wouldn't write its absorption lines in the CMBR light; and 3) Structures are being found close to the CMBRM, indicating that galaxy formation is going to have to be revised to be very fast indeed.; and 4) The presence of heavy metals in any given spiral galactic disc requires a rate of supernova occurence that is not "seen" even today, much less close to the CMBRM. I have been relieved of my incorrect notions 1) and 2). That's good, it saves me some typing ;-) Notion 4) is likely only my (ill-informed) imagination. Well certainly the absence of metals in Pop II stars and nebulae would be a problem under notion 4. Galaxies undergoing high rates of star formation are seen and IIRC rates around 10 billion years ago are at least an order of magnitude higher than now. Also look up Pop III stars. With low metallicity, lifetimes were shorter too (IIRC). I'll try to find more later but this isn't a problem. Not for here-now, no. My "band-aid" may not be necessary. Notion 3) hasn't really happened yet. No, more mature galaxies are being found earlier than expected but at the same time the role of super-massive black holes is being reconsidered and simltaneous evolution is looking more favourable. Given the high density in the early universe, the existence of super-massive black holes prior to decoupling would not surprise me, but the formation of solid objects at those temperatures would. "At those temperatures" assumes that you can't see the container. This is where I am trying to fabricate some "breathing room". I am simply playing with what still appears to be a possibility that is in agreement with GR, and provides an "open sky" for any observations of structures and heavy metals in any quantity in this Universe, right up to the Big Bang. I didn't come here (with this thread) thinking we could resolve the "face of God" or anything. Resolving the container Universe would simply be a benefit of not having "Universe-filling" opaque plasma between *now* and the beginning. And I didn't think of that until, what, two responses ago. OK, that is a side effect, but why are you trying to do away with the plasma? If the Big Bang were simply the apparent arrival of all the matter and energy that ever infell into an event horizon, at a new instant in a new spacetime (created/extruded/established by all that matter/energy), the the plasma becomes something that may or may not exist. My hypothesis actually cannot "do away with" the plasma, much to my chagrin. It is possible that our horizon were small enough that the strong and weak interaction forces would succumb, and external structures as small as atoms get shredded into protons, neutrons, and electrons. And it could all still have happened just as the standard theory predicts, and *still* we be derived from a container. So we may be struggling with something that is just like the aether... completely unverifiable. The elemental abundancies match the nucleosynthesis model very well but require high density and teperatures around 10^9K. We see samples of that mix in Pop II stars so losing the low-metallicity early universe would be an immense problem. Our hole could have formed in an early Universe, and our hole could have consumed its companion(s) early on too. Or we could have shredded whatever we got first... somehow I want to believe we are much bigger than this. Other than placing my heart out on my sleeve, this is the best I can do to "disabuse" you. You will believe me or not. You will tell me that you believe me or not. Nothing I do will change my fate either way. I will only tell you that I think I understand your thoughts more clearly as a result of your answers. I can respect that. I hope you and Steve have good weekends. I get to finish my flooring. Oh... boy. I haven't started mine yet :-( Stock up on Glucosamine-Chondroitin. Start it a week in advance. It won't prevent pain, but it seems to take a bit of the sting out, and I think the pain is gone a little quicker. Assuming you don't pay someone else to do the labor. ;) David A. Smith |
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N:dlzc D:aol T:com (dlzc) wrote: "George Dishman" wrote in message ... When we look at a distant star, we see it at one particular time in the past related to its distance. Looking out through an event horizon would not change that. I understand your assertion. Kruskal coordinates do not require/allow this. This is independent of coordinates. When an observer observes a light ray at a given event and direction, that specifies a particular null geodesic along which the light ray propagated. This geodesic path can (in principle) be traced back to its origin, which will be a definite place and time (presumably on the surface of the star in question). So the event of the light's origin is fixed by its observation; everything I have mentioned here is purely geometry, independent of coordinates. One might use coordinates for convenience in specifying the events and direction(s) involved, but that's merely convenience and does not affect the underlying geometrical relationships. |