![]() |
| If this is your first visit, be sure to check out the FAQ by clicking the link above. You may have to register before you can post: click the register link above to proceed. To start viewing messages, select the forum that you want to visit from the selection below. |
|
|||||||
| Tags: cmbr, neutron, stars |
|
|
Thread Tools | Display Modes |
|
#61
|
|||
|
|||
|
"N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:YyRPe.129306$E95.57191@fed1read01... Dear George Dishman, "George Dishman" wrote in message ... ... Last I heard, there was no Dark Matter at the time of the CMBRM. Where does this stand now? Where did you hear that? I thought the WMAP results supported dark matter. I "heard that" here on sci.astro. Since I don't catch every bit of late breaking news, and since I frequently get my memories rearranged, I was asking you. So Dark Matter is evident in the CMBRM? I just noticed this in another thread: "Sam Wormley" wrote in message news:67FPe.281485$x96.554@attbi_s72... .... o The WMAP data give the most precise values for the density of ordinary [baryonic] matter made of protons and neutrons and for the dark matter: 0.4 and 2.5 yoctograms per cubic meter. These correspond to omega_b = 0.0224 +/- 0.0009 and omega_m = 0.135 +/- 0.009. However, you may also find this interesting: http://lambda.gsfc.nasa.gov/product/...rams_table.pdf Note the decoupling time is given as 118,000 years, somewhat more than the 6300 I have been discussing. These are not the same however, the first I think is the time it took for the plasma to become neutral. Recombination of one atom releases radiation which tends to reionise other atoms so it takes a while for the plasma to dilute and release the radiation. That's different from the optical depth of the plasma. My memory also failed, z is 1089, not 1079, so the calculated figure would drop to 6137 light years. However, that show be modified as the fraction of the gas which was ionised would have been decreasing during the much longer period. I hope that clears up a few points, I don't want to mislead anyone. George |
| Ads |
|
#62
|
|||
|
|||
|
Dear George Dishman:
"George Dishman" wrote in message ... "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. I don't disagree that he is more of a GR expert than I will ever be. 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. "There is one interpretation" is clearly false. 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.". Including Schwarzchild. What is annoying people who have been "experts" in GR by any normal standard is that you refuse to listen. George, I have been listening. I have provided reasonable citations from experts. I have logically countered those of my points for which logic can be of any help. If you or anyone else is annoyed that someone can ask a question that GR expert's solutions indicate is a valid question, I am sorry. I was not asking you to answer it. I am not sure now why I even bothered you nice folks. Funny, I thought I was helping... It is what happens at r=0 where there is a real singularity and GR fails that is open to interpretation. This is your interpretation. Because the experts I cite (and more) don't allow us to reach "the singularity at the center", since the BH does eventually evaporate. So the strain you go through to extend Newton into a black hole is your own fault. 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. "The observer falls at c". Indirect methods referenced to produce animations only list Schwarzchild, which are singular at the event horizon, yet no method is "hinted" at to cover the transition. 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? Yes, I have. To quote a famous person: "it is only a mathematical model." And one of several. 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. .... in 4D spacetime The path average over any section would be a chord between two points. As long as the "two points" are formed into /\s, and integrated over the curved path, I agree. The horizon is where the slope of the line is c. Yep. 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. Presumably for the frame of reference of an observer at infinity. And when you factor in the "slower local clock" as you approach the event horizon, falling at "the speed of light" *non-locally*, isn't possible in *this* Universe. 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 Thanks. 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. Compare with the light cones that GR produces to show the severance of out and inner "spaces"... http://www.phy.syr.edu/courses/modul...arzschild.html Note that the speed of light radially out of the hole is zero at the event horizon, because "radially out of the hole" is not physically meaningful there. 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. And the second reference to Baez has another identical Universe to ours being formed up just inside the event horizon. 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 have provided references. "Who" is contradicting you? 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. You said the word: "annoyed". It is as if "this is a question that must not be asked." And Martin appeared to be simply dragging me around by my chain. I had more civil behavior from Androcles, than I seemed to get from Martin. See I was hoping this question would open new doors. And some have opened, I've got the spectral data that I needed, and some good things to consider when modelling: - multiple models need to be considered, - the matter infalling into a BH that is spewing X-ray jets, is spewing it inside also, - the CMBR will be a big player, but its contribution will be a function of when the BH formed up, - and the BH's own evaporation will provide a (perhaps) non-trivial input. Now I just need to guess how much of the companion is consumed, and over what period of time, and I'll bet we have best guesses available on the web also. But I have now closed doors that didn't need to be closed. Annoyance wasn't my intent. Thanks. David A. Smith |
|
#63
|
|||
|
|||
|
Dear George Dishman:
"George Dishman" wrote in message ... "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. OK. Thanks. I'll chew on that. 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. I misunderstood. OK. The "same magnitude" I saw was the difference you intentionally formed, and the swapping of the units "year" and "ly" just confused me. 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. George, when I went to school, we talked about the "direction" and "magnitude" of a vector. I meant "direction portion of its momentum", also called a "unit vector". I was less than clear, as usual. We agree, move on. 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. No, the formula just has "v", the comment is again about the choice of coordinates in which the formula is valid, not breaking down the speed into components. And the point is moot, since it wasn't as clearly phrased on his pages as I "remembered". Agreed, let's drop it. OK. 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. Indeed but I couldn't find anything on any of the pages that even hinted there was a physical singularity at the event horizon, I am well aware some coordinate system have problems but that is not what we are arguing about. George, what I don't get is why there must be a "physical singularity" at the event horizon, for an internal Universe to have formed. Physical has a pretty good meaning in Physics, and we cannot measure anything starting at the event horizon and including the "inside". What is fundamentally physical about something you can never get a reading on? 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). No, WMAP said it ocurred around 380,000 years and it's about 6300 years thick from the calculations we did before. The numbers aren't that exact of course. However, I still don't understand. Imagine the universe was a billion light years in every direction. At 372,300 years it was all filled with plasma that was sufficiently hot and dense to be fairly opaque. 6300 years later it had thinned to the point that it was mostly transparent. What do you mean by "The plasma would be too thick to fill 760,000 ly" I misunderstood the significance of the 6300 years. It is from full opacity, to fully transparent. I thought this "6300ly" (a distance) was the size of the Universe when the self-exciting plasma decoupled. In other words, the Universe became "just a little too large" for light to make it all the way around. The spectrum depends on the temperature only, why would the thickness prevent it being generated? See immediately above. 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? You have been saying there is a singularity between them. By the definition of singularity, there is. What is continuous across the horizon is conservation of momenergy, conservation of charge, Pauli exclusion, and perhaps more that I am not aware of. If there isn't, they are parts of the same universe. In terms of black holes, I thought we agreed that the universes were separated by a singularity but I say it is at r=0 while you say it is at the event horizon. Either way you couldn't calculate across it. OK. 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, Me too which is why I am curious. Mine is likely 4 years old, just about as long as I have been "lurking". and since I frequently get my memories rearranged, I was asking you. So Dark Matter is evident in the CMBRM? I haven't seen anything on the subject, one way or the other in the group. I thought the results of WMAP for the angular power spectrum were consistent with the fraction of dark matter found by other means but I haven't checked the site yet and my memory is poor too. OK. Another thread, another day. 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. OK, maybe I misread you, I thought you were trying to get satellite readings of the spectrum of an event horizon itself. It is the big red nose, orange wig, and big floppy shoes I normally wear... ;) 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. No, you misunderstand, I said we are outside the event horizon of Cyg X1 and all the other black holes in our universe which you might look at to get a spectrum to do your calculations. And do you not feel that what light is "sprayed out", also falls back in? Or it expected to be like a laser, and only "heat" is not directed outwards? I guess I'll do my own search... 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. Indeed. 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? That depends on the type, our [central black hole] will flare when a star falls in and be quiescent otherwise. In the early universe I think they tend to be bright steadily. I'm not too familiar with this though. I'll do some research, and state my sources (and conclusions) so that those that know better (which are many here) can do it right (or ignore it). David A. Smith |
|
#64
|
|||
|
|||
|
Dear George Dishman:
"George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:YyRPe.129306$E95.57191@fed1read01... Dear George Dishman, "George Dishman" wrote in message ... ... Last I heard, there was no Dark Matter at the time of the CMBRM. Where does this stand now? Where did you hear that? I thought the WMAP results supported dark matter. I "heard that" here on sci.astro. Since I don't catch every bit of late breaking news, and since I frequently get my memories rearranged, I was asking you. So Dark Matter is evident in the CMBRM? I just noticed this in another thread: "Sam Wormley" wrote in message news:67FPe.281485$x96.554@attbi_s72... ... o The WMAP data give the most precise values for the density of ordinary [baryonic] matter made of protons and neutrons and for the dark matter: 0.4 and 2.5 yoctograms per cubic meter. These correspond to omega_b = 0.0224 +/- 0.0009 and omega_m = 0.135 +/- 0.009. However, you may also find this interesting: http://lambda.gsfc.nasa.gov/product/...rams_table.pdf Note the decoupling time is given as 118,000 years, somewhat more than the 6300 I have been discussing. These are not the same however, the first I think is the time it took for the plasma to become neutral. Recombination of one atom releases radiation which tends to reionise other atoms so it takes a while for the plasma to dilute and release the radiation. That's different from the optical depth of the plasma. My memory also failed, z is 1089, not 1079, so the calculated figure would drop to 6137 light years. However, that show be modified as the fraction of the gas which was ionised would have been decreasing during the much longer period. I hope that clears up a few points, I don't want to mislead anyone. You have gone out of the way not to. I hope I have never given the impression that you hadn't. Is the 6137 ly a "maximum" or "average" path length? Just a couple of search terms, if you don't mind, so that I know what the physical model is... David A. Smith |
|
#65
|
|||
|
|||
|
"N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:9O%Pe.129977$E95.125942@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:YyRPe.129306$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... ... 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. .... 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. .... George, when I went to school, we talked about the "direction" and "magnitude" of a vector. I meant "direction portion of its momentum", also called a "unit vector". I was less than clear, as usual. We agree, move on. OK, if yuou had said "maintain its direction I would have followed. The expansion of space is isotropic hence stretching does not affect the direction of the photon. Is that a more appropriate answer? ... I couldn't find anything on any of the pages that even hinted there was a physical singularity at the event horizon, I am well aware some coordinate system have problems but that is not what we are arguing about. George, what I don't get is why there must be a "physical singularity" at the event horizon, for an internal Universe to have formed. Physical has a pretty good meaning in Physics, and we cannot measure anything starting at the event horizon and including the "inside". What is fundamentally physical about something you can never get a reading on? An observer at great istance cannot get information from inside the horizon. However the reverse is not true, As Andrews simulations show, the infalling observer can still see objects outside. Now also consider three people roped together falling in with the rope stretched by the tidal forces (it is oriented radially). At some instant, the central person reaches a location which is exactly on the horizon as determined by an observer far outside. Of course that observer can no longer see much. The person nearest the hole is already within the horizon while the third person is still outside and can wave to the distant observer. At that point, I believe the three people can still communicate both ways, but by the time the third person hears anything from the first, he too will have fallen too far to relay the information to the distant observer. The event horizon no more creates a ne universe than a one-way mirror and in particular all the laws of physics apply locally, i.e. between the three victims. Of course they don't have long to check this but that's another matter. That's why I don't consider this a new universe. The page you cited shows the inside of the cylinder as being part of this with spacetime being continuous over the horizon, what isn't shown is where the observer goes after he hits the singularity. That isn't "in" this diagram, the suggestion is it might be another universe. No, WMAP said it ocurred around 380,000 years and it's about 6300 years thick from the calculations we did before. The numbers aren't that exact of course. However, I still don't understand. Imagine the universe was a billion light years in every direction. At 372,300 years it was all filled with plasma that was sufficiently hot and dense to be fairly opaque. 6300 years later it had thinned to the point that it was mostly transparent. What do you mean by "The plasma would be too thick to fill 760,000 ly" I misunderstood the significance of the 6300 years. It is from full opacity, to fully transparent. Well it is really the length over which the visibility falls by e^-1. It's easiest to think in reverse about how far light would penetrate into the plasma. The probability of a photon being absorbed depends on the distance so the number that haven't been absorbed falls exponentially. That's what the calculation with the cross section provides. The time for the material to recombine from transparent to opaque is much longer as I just discovered, see my other post on the WMAP results. Overall we will se a combination of the two effects but you now understand what I was talking about. I thought this "6300ly" (a distance) was the size of the Universe when the self-exciting plasma decoupled. In other words, the Universe became "just a little too large" for light to make it all the way around. Ah, that explains it. No, the universe was probably infinite at all times. Your thinking Newtonian here. 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? You have been saying there is a singularity between them. By the definition of singularity, there is. What is continuous across the horizon is conservation of momenergy, conservation of charge, Pauli exclusion, and perhaps more that I am not aware of. Spacetime is continuous over the horizon as are all the laws of physics as viewed by an infalling observer. Schwarzchild coordinates try to use a stationary observer which cannot happen, that's why they fail. ...Last I heard, there was no Dark Matter at the time of the CMBRM. Where does this stand now? .... I haven't seen anything on the subject, one way or the other in the group. I thought the results of WMAP for the angular power spectrum were consistent with the fraction of dark matter found by other means but I haven't checked the site yet and my memory is poor too. OK. Another thread, another day. See my other post. (You just posted a reply to it, I'll read that next.) 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. OK, maybe I misread you, I thought you were trying to get satellite readings of the spectrum of an event horizon itself. It is the big red nose, orange wig, and big floppy shoes I normally wear... ;) Those and your repeated use of "free BH" ;-) If you want the spectrum of the acretion disk of an active BH, that's a different matter entirely. 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. No, you misunderstand, I said we are outside the event horizon of Cyg X1 and all the other black holes in our universe which you might look at to get a spectrum to do your calculations. And do you not feel that what light is "sprayed out", also falls back in? Or it expected to be like a laser, and only "heat" is not directed outwards? I guess I'll do my own search... What does that have to do with accusing me of being "comfortable in believing" we are outside the event horizon of all the black holes we can observe? There's a bit of talking past each other going on here (or you're pulling my leg vbg!). George |
|
#66
|
|||
|
|||
|
"N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:cR%Pe.130026$E95.96359@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:YyRPe.129306$E95.57191@fed1read01... Dear George Dishman, "George Dishman" wrote in message ... ... Last I heard, there was no Dark Matter at the time of the CMBRM. Where does this stand now? Where did you hear that? I thought the WMAP results supported dark matter. I "heard that" here on sci.astro. Since I don't catch every bit of late breaking news, and since I frequently get my memories rearranged, I was asking you. So Dark Matter is evident in the CMBRM? I just noticed this in another thread: "Sam Wormley" wrote in message news:67FPe.281485$x96.554@attbi_s72... ... o The WMAP data give the most precise values for the density of ordinary [baryonic] matter made of protons and neutrons and for the dark matter: 0.4 and 2.5 yoctograms per cubic meter. These correspond to omega_b = 0.0224 +/- 0.0009 and omega_m = 0.135 +/- 0.009. However, you may also find this interesting: http://lambda.gsfc.nasa.gov/product/...rams_table.pdf Note the decoupling time is given as 118,000 years, somewhat more than the 6300 I have been discussing. These are not the same however, the first I think is the time it took for the plasma to become neutral. Recombination of one atom releases radiation which tends to reionise other atoms so it takes a while for the plasma to dilute and release the radiation. That's different from the optical depth of the plasma. My memory also failed, z is 1089, not 1079, so the calculated figure would drop to 6137 light years. However, that show be modified as the fraction of the gas which was ionised would have been decreasing during the much longer period. I hope that clears up a few points, I don't want to mislead anyone. You have gone out of the way not to. I hope I have never given the impression that you hadn't. Is the 6137 ly a "maximum" or "average" path length? Just a couple of search terms, if you don't mind, so that I know what the physical model is... The particles in the plasma are randomly scattered and have a cross-section. If you work out how far into the plasma an arbitrary line will go before hitting a particle (i.e. working back along the path of a photon to see where it originated) the distribution for lots of photons will fall exponentially with distance. It is the coefficient in that function so about 63% come from the first 6137 light years, 63% of the remainder from the next 6137 and so on. However, that calculation assumed the plasma was fully ionised. The fraction that was ionised fell over a much longer period, about 118,000 years if I understand the term "decoupling time" on the WMAP page. If so, it would be necessary to find an equation for the reduction in that fraction, and also note the density would change significantly over that time, and then apply the previous analysis too and integrate. It all becomes much more complex. My only warning over that is that the end result might be what WMAP means by "decoupling time" rather than the ionisation per se. That's something I need to research too. George |
|
#67
|
|||
|
|||
|
"N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:aq%Pe.129590$E95.58692@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:qoOPe.129290$E95.2723@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... 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. "There is one interpretation" is clearly false. OK, other than you, I have only seen one interpretation from all the experts I have read including the pages you cited though I accept you read them differently. 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.". Including Schwarzchild. Yes. However, as long as you know the manner in which they don't work, you can correct that. What is annoying people who have been "experts" in GR by any normal standard is that you refuse to listen. George, I have been listening. I have provided reasonable citations from experts. I have logically countered those of my points for which logic can be of any help. You countered your own points - must be a typo? If you or anyone else is annoyed that someone can ask a question that GR expert's solutions indicate is a valid question, I am sorry. I was not asking you to answer it. I am not sure now why I even bothered you nice folks. Funny, I thought I was helping... I think Martin got a bit annoyed when he talked of your attitude being a bit netkookish, apologies to all if I misread that, but it wasn't because you asked the question but that you seemed to discount the answer when it wasn't what you wanted. It is what happens at r=0 where there is a real singularity and GR fails that is open to interpretation. This is your interpretation. Because the experts I cite (and more) don't allow us to reach "the singularity at the center", since the BH does eventually evaporate. Look at the page you cite later http://www.phy.syr.edu/courses/modul...arzschild.html The bottom diagram shows the "foolish observer" reaching the central singularity in a short time, milliseconds to hours for real black holes. Evaporation takes billions of years. So the strain you go through to extend Newton into a black hole is your own fault. None of this is Newton, pure GR. 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. "The observer falls at c". Correct and accurate for a distant observer. Also clearly shown on the page you cited as the otward lightcone must be at c relative to the infalling observer and it is parallel to the horizon. Indirect methods referenced to produce animations only list Schwarzchild, which are singular at the event horizon, yet no method is "hinted" at to cover the transition. If the coordinates flip, just use the right one inside. I don't know the details but I guess most books on GR will tell you. 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. Presumably for the frame of reference of an observer at infinity. I believe so. And when you factor in the "slower local clock" as you approach the event horizon, falling at "the speed of light" *non-locally*, isn't possible in *this* Universe. That doesn't make sense to me. Look at the page you cited again, the slope of the infalling "foolish observer" is that of "falling at c" as he crosses the event horizon. His (local) clock is ticking off the time in equal steps along his worldline. The reason we see his clock slowing is that the outgoing lightlike lines take progressively longer to reach the left edge of the graphic where a static observer might be located. Accroding to that observer, the infalling observer is moving at c even though he appears slowed when seen through a telescope. That is just an optical illusion. 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. Compare with the light cones that GR produces to show the severance of out and inner "spaces"... http://www.phy.syr.edu/courses/modul...arzschild.html Note that the speed of light radially out of the hole is zero at the event horizon, because "radially out of the hole" is not physically meaningful there. I am an idiot. You said "towards anyone outside the BH." but I considered infalling light. My mistake, you are right on that one. It only stops us viewing what happens though, it doesn't stop it happening. 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. And the second reference to Baez has another identical Universe to ours being formed up just inside the event horizon. You mean this page? http://math.ucr.edu/home/baez/PUB/generichole Again, he shows the paths of test particles falling through the event horizon and falling for some time before reaching either "a -spacelike- curvature singularity" or a "weak null Cauchy horizon singularity", whatever that means. Either way there is nothing unusual about the region inside the horizon prior to hitting the singularities. In fact the text also says "just as for the Schwarzschild solution, but no wormhole or multiple 'external universe' sheets." so you have a diagram with a line in the middle separating two regions and "no external universes" shown. Clearly all of that diagram refers to our universe. This is perhaps why I couldn't fathom why you cited it. 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 have provided references. "Who" is contradicting you? For example your statement that "Baez has another identical Universe to ours being formed up just inside the event horizon." seems to contradict his statement that the diagram doesn't show any "external universe sheets". 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. You said the word: "annoyed". It is as if "this is a question that must not be asked." No, I think it was "why ask if you are going to ignore any answer that conflicts with what you have already decided." You asked about the influence on the spectrum of the singularity at the event horizon and the answer you got was that there is no effect because the event horizon isn't a physical singularity, just a glitch in the maths. And Martin appeared to be simply dragging me around by my chain. I had more civil behavior from Androcles, than I seemed to get from Martin. See I was hoping this question would open new doors. And some have opened, I've got the spectral data that I needed, and some good things to consider when modelling: Well perhaps another door has opened too, the event horizon isn't a singularity as you thought and perhaps that knowledge will lead you to an improved understanding of GR and new models. Be positive, it is up to you what you make of it. - multiple models need to be considered, - the matter infalling into a BH that is spewing X-ray jets, is spewing it inside also, - the CMBR will be a big player, but its contribution will be a function of when the BH formed up, - and the BH's own evaporation will provide a (perhaps) non-trivial input. Now I just need to guess how much of the companion is consumed, and over what period of time, and I'll bet we have best guesses available on the web also. But I have now closed doors that didn't need to be closed. Annoyance wasn't my intent. You can always take someone out of your killfile as easily as you plonked them in ;-) George |
|
#68
|
|||
|
|||
|
Dear George Dishman:
"George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:9O%Pe.129977$E95.125942@fed1read01... Dear George Dishman: "George Dishman" wrote in message ... "N:dlzc D:aol T:com (dlzc)" N: dlzc1 D:cox wrote in message news:YyRPe.129306$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... ... 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. ... 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. ... George, when I went to school, we talked about the "direction" and "magnitude" of a vector. I meant "direction portion of its momentum", also called a "unit vector". I was less than clear, as usual. We agree, move on. OK, if yuou had said "maintain its direction I would have followed. The expansion of space is isotropic hence stretching does not affect the direction of the photon. Is that a more appropriate answer? Yes. Had I used "unit vector", it would have been clear also, but toting that around in context is a little unwieldy. ... I couldn't find anything on any of the pages that even hinted there was a physical singularity at the event horizon, I am well aware some coordinate system have problems but that is not what we are arguing about. George, what I don't get is why there must be a "physical singularity" at the event horizon, for an internal Universe to have formed. Physical has a pretty good meaning in Physics, and we cannot measure anything starting at the event horizon and including the "inside". What is fundamentally physical about something you can never get a reading on? An observer at great istance cannot get information from inside the horizon. However the reverse is not true, As Andrews simulations show, the infalling observer can still see objects outside. Now also consider three people roped together falling in with the rope stretched by the tidal forces (it is oriented radially). At some instant, the central person reaches a location which is exactly on the horizon as determined by an observer far outside. Of course that observer can no longer see much. The person nearest the hole is already within the horizon while the third person is still outside and can wave to the distant observer. At that point, I believe the three people can still communicate both ways, but by the time the third person hears anything from the first, he too will have fallen too far to relay the information to the distant observer. The event horizon no more creates a ne universe than a one-way mirror and in particular all the laws of physics apply locally, i.e. between the three victims. Of course they don't have long to check this but that's another matter. That's why I don't consider this a new universe. The page you cited shows the inside of the cylinder as being part of this with spacetime being continuous over the horizon, what isn't shown is where the observer goes after he hits the singularity. That isn't "in" this diagram, the suggestion is it might be another universe. Which is what I feel is *perhaps* experimentally falsifiable. No, WMAP said it ocurred around 380,000 years and it's about 6300 years thick from the calculations we did before. The numbers aren't that exact of course. However, I still don't understand. Imagine the universe was a billion light years in every direction. At 372,300 years it was all filled with plasma that was sufficiently hot and dense to be fairly opaque. 6300 years later it had thinned to the point that it was mostly transparent. What do you mean by "The plasma would be too thick to fill 760,000 ly" I misunderstood the significance of the 6300 years. It is from full opacity, to fully transparent. Well it is really the length over which the visibility falls by e^-1. It's easiest to think in reverse about how far light would penetrate into the plasma. The probability of a photon being absorbed depends on the distance so the number that haven't been absorbed falls exponentially. That's what the calculation with the cross section provides. The time for the material to recombine from transparent to opaque is much longer as I just discovered, see my other post on the WMAP results. Overall we will se a combination of the two effects but you now understand what I was talking about. "Understand more", yes. I thought this "6300ly" (a distance) was the size of the Universe when the self-exciting plasma decoupled. In other words, the Universe became "just a little too large" for light to make it all the way around. Ah, that explains it. No, the universe was probably infinite at all times. Your thinking Newtonian here. Perhaps. 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? You have been saying there is a singularity between them. By the definition of singularity, there is. What is continuous across the horizon is conservation of momenergy, conservation of charge, Pauli exclusion, and perhaps more that I am not aware of. Spacetime is continuous over the horizon as are all the laws of physics as viewed by an infalling observer. Schwarzchild coordinates try to use a stationary observer which cannot happen, that's why they fail. I agree on the reason for the failure of Schwarzchild coordinates, and that the various conservation laws will hold locally. ...Last I heard, there was no Dark Matter at the time of the CMBRM. Where does this stand now? ... I haven't seen anything on the subject, one way or the other in the group. I thought the results of WMAP for the angular power spectrum were consistent with the fraction of dark matter found by other means but I haven't checked the site yet and my memory is poor too. OK. Another thread, another day. See my other post. (You just posted a reply to it, I'll read that next.) 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. OK, maybe I misread you, I thought you were trying to get satellite readings of the spectrum of an event horizon itself. It is the big red nose, orange wig, and big floppy shoes I normally wear... ;) Those and your repeated use of "free BH" ;-) If you want the spectrum of the acretion disk of an active BH, that's a different matter entirely. I want to model (at least) three separate types of black hole: - one that is sitting in intergalactic space, with no companion, no accretion (a free BH) - one that is in a galactic disk, with one or more companions that it is consuming, - one that is in the center of a galaxy. If it is to be done, it should be done more than half-*ssed. 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. No, you misunderstand, I said we are outside the event horizon of Cyg X1 and all the other black holes in our universe which you might look at to get a spectrum to do your calculations. And do you not feel that what light is "sprayed out", also falls back in? Or it expected to be like a laser, and only "heat" is not directed outwards? I guess I'll do my own search... What does that have to do with accusing me of being "comfortable in believing" we are outside the event horizon of all the black holes we can observe? There's a bit of talking past each other going on here (or you're pulling my leg vbg!). I am not pulling your leg. I am probably "frame jumping", from outside to inside, and back. I keep trying to discuss what is seen from the inside, and you keep trying to discuss the outside. We clearly are talking past each other... David A. Smith |