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#2
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(Old Physics)
Message-id: Thank you for your defense of the question, Mr. Jastrzebski. If Bilge were to answer the question he would probably point out that the stresses on the shell that would cause it to collapse would be part of SR-GR. My object in posing it is two fold. First it is difficult for me to reconcile that the mass of say 10^22 suns would be equal to a shell a billion LYs in diameter with a mass of about two pounds per sq ft and a BH with an EH of the same diameter. It just dosn't seem that time would stop there to an outside observer; it would just proceed half as fast. It is more complex than that. Mass 10^22 suns is about everything that there is in the universe. This matter if spread relatively uniformly throughout the space makes the space bulging out everywhere about the same and this bulging makes the space closed within itself similarly like bulging of the earth surface makes the earth surface closed within itself. So there can be no outside observer that could look at it from outside. We can look at it only from inside. While we don't have problems with imagining 2D curved surface of the earth closed within itself it is rather tough to imagine 3D curved space closed within itself. That's why I wrote a whole article about how we can imagine such thing without getting too big a headache or even go crazy. It is in my "Einsteinian Gravity for Poets and Science Teachers" in http://www.geocities.com/wlodekj/sci/gravity.htm in section about curved space. If you read it you may share with me your impressions about style, clarity, possible errors, etc. Result of all this is that the mass of those 10^22 suns (or any mass spread uniformly throughout the space) would curve the space of the universe so that it would be closed in itself (smaller mass would result in greater radius of curvature according to formula R=c/sqrt(4 pi G rho) where c is speed of light, G is Newtonian gravitational constant, rho is density of space). So formally it would be a BH since light (or anything else) could never leave it. "Leaving it" wouldn't have any meaning neither since there is no outside to this space. This is all what there is: 10^22 suns floating in space that is closed within itself. You don't need a shell just a space closed within itself. No outside. How much the time is dilated in this space while looked at by the inside observers? We may recall that there is a fixed relation between the curvature of space and time dilation. Namely the relative amount of one is equal to the relative amount of the other. As I mentioned before this equal amounts are forced on the universe by its inability to create energy from nothing (a.k.a. "the principle of conservation of energy"). Mathematicians who call themselves "gravity physicists", and consequently the astronomers who listen to them since they can't handle relativity on their own, don't believe that energy is conserved "in gravity" (actually they say as Bilge does too, that they don't know what word "energy" means "in gravity" and so they are not able to say whether it is conserved or not). So they may have different ideas about the relation between time dilation and curvature of space than those expressed here. Actually, assuming that energy can be created from nothing and destroyed to nothing, they enjoy a lot of freedom in assuming how much energy may be created legally form nothing and so for them there are no barriers in their ideas about the universe. Those who think that energy can't be created or destroyed (as I do) don't have this freedom of thought and have to follow physics that assumes strict conservation of energy and everything what follows from it. One important result is the mentioned equality of relative time dilation and relative curvature of space ((@^2)T/@t@r + 1/R = 0, where @ is partial, T is proper time, t is coordinate time, r is coordinate distance, R is radius of curvature of space). The above is of course not what standard (big bang) cosmology assumes (since conservation of energy has been dropped from standard cosmology) and so if you want to know the standard cosmology's opinion about those things I'm not the proper authority on this subject. I can only tell you what would happen in a world in which energy is conserved. If you are still interested then it would be the following: When you look through this curved by the presence of matter space, the farther you look along r the more time dilation (dT/dt) you see (mathematically you just integrate the above formula along r). Since you'll see time running slower the farther you look you'll see also the spectra of galaxies at those far away places shifted towards red. The astronomers call the effect "Hubble's redshift" and think that it is because those galaxies move away, and so they call "Hubble's constant" the ratio of their alleged "speed of recession" to the distance (presently about 70 km/s/Mpc). I call this effect "general time dilation" since it is always some amount of it in the space. The amount of this shift per unit of distance from the above relation equals 1/R (so the value of Hubble's constant equals c/R). For the observed Hubble's constant the radius of curvature of space of the universe turns out to be R = ~4 Mpc and so it means that the density of this space is about 6x10^(-27) kg/m^3. Since this is well within estimates that astronomers do for the density of the universe we don't need to believe the astronomers that galaxies move away and instead we may stick to the idea that energy is conserved. So we have time dilation forced on the universe by the curvature of space (and the mention inability of the universe to create energy from nothing). One more advantage of sticking to conservation of energy rather than to the idea that the universe is expanding is that since the above predicts exponential time dilation with distance, it simulates not a simple uniform expansion but accelerating one. Which is observed and for which the official cosmology needs not only to suspend conservation of energy but also invent some special forces accelerating the alleged expansion ("Dark Energy"). But this is common fate of silly theories: the more facts show up the more silly the theory becomes until it collapses under the weight of its own silliness. So we just need to wait for more facts. BTW "anomalous" acceleration of space probes Pioneer 10 and 11 is also on the side of conservation of energy and numerical values fit within several percent. So that's approximately the answer to your question about the time dilation in a space containing 10^22 suns :-). Second, it makes me wonder about the dynamics of quasars which are believed to generate their light in an acreation disk around a BH with a mass in the range of a hundred million suns. Could it be that part of the redshift of quasars is from time dilation-gravity within this region? What else do you think it could be? The only thing that produces redshift (excluding recession of quasars for which there is no evidence and even as Halton Arp maintains it is contradicted by observations because of obvious bridges between them and galaxies with much smaller redshifts) is time dilation. However except the common (almost Newtonian) gravitational time dilation (the one that equals Newtonian potential divided by c^2) there is also, overlooked by astronomers, general time dilation caused just by the conservation of energy in curved space at conditions in which Newtonian potential may be zero. It must have mislead astronomers into thinking that this redshift (they call it "dynamical friction") is negligible and they never bothered to calculate it. So the quasars' redshift might be combination of those two, or even mostly this neglected so far "general time dilation". But it has to be analyzed rather by astronomers after they give up Newtonian prejudices and understand how energy is conserved in gravity and therefore why there has to be this "general time dilation". Which won't be an easy project while most of them think that energy can't be conserved and moderators don't let to discuss the issue of conservation considering it "too speculative". Conservation of energy is "too speculative" for astronomers. They would rather discuss "dark energy" and "repulsive gravitational force" (the one that "accelerates" the "expansion"). So we may need another century to get rid of all those myths about the universe and to notice that Einsteinian gravity explained all those things several generations ago. -- Jim |
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#3
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(Jim Jastrzebski) wrote in message ...
(Old Physics) Message-id: Thank you for your defense of the question, Mr. Jastrzebski. If Bilge were to answer the question he would probably point out that the stresses on the shell that would cause it to collapse would be part of SR-GR. My object in posing it is two fold. First it is difficult for me to reconcile that the mass of say 10^22 suns would be equal to a shell a billion LYs in diameter with a mass of about two pounds per sq ft and a BH with an EH of the same diameter. It just dosn't seem that time would stop there to an outside observer; it would just proceed half as fast. It is more complex than that. Mass 10^22 suns is about everything that there is in the universe. This matter if spread relatively uniformly throughout the space makes the space bulging out everywhere about the same and this bulging makes the space closed within itself similarly like bulging of the earth surface makes the earth surface closed within itself. So there can be no outside observer that could look at it from outside. We can look at it only from inside. While we don't have problems with imagining 2D curved surface of the earth closed within itself it is rather tough to imagine 3D curved space closed within itself. That's why I wrote a whole article about how we can imagine such thing without getting too big a headache or even go crazy. It is in my "Einsteinian Gravity for Poets and Science Teachers" in http://www.geocities.com/wlodekj/sci/gravity.htm in section about curved space. If you read it you may share with me your impressions about style, clarity, possible errors, etc. Result of all this is that the mass of those 10^22 suns (or any mass spread uniformly throughout the space) would curve the space of the universe so that it would be closed in itself (smaller mass would result in greater radius of curvature according to formula R=c/sqrt(4 pi G rho) where c is speed of light, G is Newtonian gravitational constant, rho is density of space). So formally it would be a BH since light (or anything else) could never leave it. "Leaving it" wouldn't have any meaning neither since there is no outside to this space. This is all what there is: 10^22 suns floating in space that is closed within itself. You don't need a shell just a space closed within itself. No outside. How much the time is dilated in this space while looked at by the inside observers? We may recall that there is a fixed relation between the curvature of space and time dilation. Namely the relative amount of one is equal to the relative amount of the other. As I mentioned before this equal amounts are forced on the universe by its inability to create energy from nothing (a.k.a. "the principle of conservation of energy"). Mathematicians who call themselves "gravity physicists", and consequently the astronomers who listen to them since they can't handle relativity on their own, don't believe that energy is conserved "in gravity" (actually they say as Bilge does too, that they don't know what word "energy" means "in gravity" and so they are not able to say whether it is conserved or not). So they may have different ideas about the relation between time dilation and curvature of space than those expressed here. Actually, assuming that energy can be created from nothing and destroyed to nothing, they enjoy a lot of freedom in assuming how much energy may be created legally form nothing and so for them there are no barriers in their ideas about the universe. Those who think that energy can't be created or destroyed (as I do) don't have this freedom of thought and have to follow physics that assumes strict conservation of energy and everything what follows from it. One important result is the mentioned equality of relative time dilation and relative curvature of space ((@^2)T/@t@r + 1/R = 0, where @ is partial, T is proper time, t is coordinate time, r is coordinate distance, R is radius of curvature of space). The above is of course not what standard (big bang) cosmology assumes (since conservation of energy has been dropped from standard cosmology) and so if you want to know the standard cosmology's opinion about those things I'm not the proper authority on this subject. I can only tell you what would happen in a world in which energy is conserved. If you are still interested then it would be the following: When you look through this curved by the presence of matter space, the farther you look along r the more time dilation (dT/dt) you see (mathematically you just integrate the above formula along r). Since you'll see time running slower the farther you look you'll see also the spectra of galaxies at those far away places shifted towards red. The astronomers call the effect "Hubble's redshift" and think that it is because those galaxies move away, and so they call "Hubble's constant" the ratio of their alleged "speed of recession" to the distance (presently about 70 km/s/Mpc). I call this effect "general time dilation" since it is always some amount of it in the space. The amount of this shift per unit of distance from the above relation equals 1/R (so the value of Hubble's constant equals c/R). For the observed Hubble's constant the radius of curvature of space of the universe turns out to be R = ~4 Mpc and so it means that the density of this space is about 6x10^(-27) kg/m^3. Since this is well within estimates that astronomers do for the density of the universe we don't need to believe the astronomers that galaxies move away and instead we may stick to the idea that energy is conserved. So we have time dilation forced on the universe by the curvature of space (and the mention inability of the universe to create energy from nothing). One more advantage of sticking to conservation of energy rather than to the idea that the universe is expanding is that since the above predicts exponential time dilation with distance, it simulates not a simple uniform expansion but accelerating one. Which is observed and for which the official cosmology needs not only to suspend conservation of energy but also invent some special forces accelerating the alleged expansion ("Dark Energy"). But this is common fate of silly theories: the more facts show up the more silly the theory becomes until it collapses under the weight of its own silliness. So we just need to wait for more facts. BTW "anomalous" acceleration of space probes Pioneer 10 and 11 is also on the side of conservation of energy and numerical values fit within several percent. So that's approximately the answer to your question about the time dilation in a space containing 10^22 suns :-). Second, it makes me wonder about the dynamics of quasars which are believed to generate their light in an acreation disk around a BH with a mass in the range of a hundred million suns. Could it be that part of the redshift of quasars is from time dilation-gravity within this region? What else do you think it could be? The only thing that produces redshift (excluding recession of quasars for which there is no evidence and even as Halton Arp maintains it is contradicted by observations because of obvious bridges between them and galaxies with much smaller redshifts) is time dilation. However except the common (almost Newtonian) gravitational time dilation (the one that equals Newtonian potential divided by c^2) there is also, overlooked by astronomers, general time dilation caused just by the conservation of energy in curved space at conditions in which Newtonian potential may be zero. It must have mislead astronomers into thinking that this redshift (they call it "dynamical friction") is negligible and they never bothered to calculate it. So the quasars' redshift might be combination of those two, or even mostly this neglected so far "general time dilation". But it has to be analyzed rather by astronomers after they give up Newtonian prejudices and understand how energy is conserved in gravity and therefore why there has to be this "general time dilation". Which won't be an easy project while most of them think that energy can't be conserved and moderators don't let to discuss the issue of conservation considering it "too speculative". Conservation of energy is "too speculative" for astronomers. They would rather discuss "dark energy" and "repulsive gravitational force" (the one that "accelerates" the "expansion"). So we may need another century to get rid of all those myths about the universe and to notice that Einsteinian gravity explained all those things several generations ago. -- Jim Quite a magnificent theory, Mr. Jastrzebski. Your observation of quasars being associated with galaxies of lower redshift is something that should have been a red flag long ago. Has there ever been a statistical survey of the link? I know that NGC 1073 is associated with no less than three quasars. It certainly makes for frequent gravitational lensing, which observation of the most redshifted quasars depends on (APM08279+5255 in Lynx for example). Can quasars have the same optical displacement if they are closer than believed? By the term "@" did you mean partial "time"? If energy is conserved, are you in agreement with cosmologists that the universe will consume its supply of hydrogen and be doomed to entrophy death? One of the freedoms they also have is that the creation of mass in the BB dosn't have to be explained. How do you explain it? Thankyou for such an inspired post, my response dosn't do it justice. I hope to try again as time allows. With admiration, Stephen Kearney |
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