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On Dec 31, 8:20 am, George Hammond wrote:
Koobee Wublee wrote: Short memory? You have been told that the following and the Schwarzschild metric are ones among an infinite solutions to the Einstein field equations that are static, spherically symmetric, and asymptotically flat. ds^2 = c^2 T dt^2 / (1 + 2 K / r) – (1 + 2 K / r) dr^2 – (r + K)^2 dO^2 Where ** K, T = Constants ** dO^2 = cos^2(Latitude) dLongitude^2 + dLatitude^2 It may be "static, spherically symmetric, and asymptotically flat" but I doubt that it satifies R_uv=0 So, you are not sure if that solution above does not satisfy R_uv = 0. Well, Gisse plugged it into his software program and had verified so a year ago. There are actually infinite solutions to the field equations that are static (time invariant), spherically symmetric, and asymptotically flat (approaching flat spacetime at r = infinity). Through Koobee Wublee’s theorem or the theorem of Generality below, you can find any solution you wish the universe to be including the accelerated expanding universe that still behaves like Newtonian at relatively smaller distances. ds^2 = c^2 T dt^2 (1 + 2 K / u) – (1 + 2 K / u) (du/dr)^2 dr^2 – (u + K)^2 dO^2 Where ** u(r) = Any function of r For example, 1. If (u = r), then you have the solution above. 2. If (u = r^2 / K), you do not get the Newtonian inverse square law for gravitation. 3. If (u = (r^3 + K^3)^(1/3) – K), you get Schwarzschild’s original solution. 4. If (u = K / (K / r + r^2 / L^2)), you get the accelerated expanding universe at cosmological scales and Newtonian physics at astronomical scales. 5. If (u = r – K), you get the Schwarzschild metric discovered by Hilbert. since Schwarzchild proved that his solution is the ONLY "static, spherically symmetric, and asymptotically flat" solution that does! Notice all the examples above are static and spherically symmetric. All are asymptotically flat except (4). Thus, Birkhoff’s theorem is proven utter nonsense by example. shrug The schwarzchild solution is known to be the ONLY solution to the spherical mass body problem. Nonsense! On Dec 31, 11:00 am, George Hammond wrote: P.S....The fact that Schwarzchild's solution is the ONLY spherically symmetric solution to the EFE is known as "Birkhoff's Theorem". Nonsense! On Dec 31, 11:52 am, George Hammond wrote: P.P.S..... Jorg Jebsen a Norwegian physicist actually discovered and published Birkhoff's theorem two years earlier but because he died in poverty of tuberculous in Italy at the age of 34; when the famous mathematician George Birkhoff later rediscovered the theorem without knowing of Jebson's work it was named after him. Alas poor Jebson. Well, either Jebson and Birkhoff are proven to be very shallow minded mathematicians, or Koobee Wublee is a great genius able to see through these nonsense. Well, I will leave it up to you to decide. As you know, yours truly is still a very humble scholar. You, on the other hand, need to stick to what you do best. That is preaching to the already religious SR/GR/Einstein worshippers. shrug |
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On Dec 31, 8:29*pm, Koobee Wublee wrote:
On Dec 31, 8:20 am, George Hammond wrote: Koobee Wublee wrote: Short memory? *You have been told that the following and the Schwarzschild metric are ones among an infinite solutions to the Einstein field equations that are static, spherically symmetric, and asymptotically flat. ds^2 = c^2 T dt^2 / (1 + 2 K / r) – (1 + 2 K / r) dr^2 – (r + K)^2 dO^2 Where ** *K, T = Constants ** *dO^2 = cos^2(Latitude) dLongitude^2 + dLatitude^2 * *It may be "static, spherically symmetric, and asymptotically flat" but I doubt that it satifies R_uv=0 So, you are not sure if that solution above does not satisfy R_uv = 0. *Well, Gisse plugged it into his software program and had verified so a year ago. *There are actually infinite solutions to the field equations that are static (time invariant), spherically symmetric, and asymptotically flat (approaching flat spacetime at r = infinity). And all of them describe the same manifold - as told to you a year ago with the explicit construction of the coordinate transformation between your "different" manifold and Schwarzschild. Through Koobee Wublee’s theorem or the theorem of Generality below, you can find any solution you wish the universe to be including the accelerated expanding universe that still behaves like Newtonian at relatively smaller distances. ds^2 = c^2 T dt^2 (1 + 2 K / u) – (1 + 2 K / u) (du/dr)^2 dr^2 – (u + K)^2 dO^2 Where ** *u(r) = Any function of r For example, 1. *If (u = r), then you have the solution above. 2. *If (u = r^2 / K), you do not get the Newtonian inverse square law for gravitation. 3. *If (u = (r^3 + K^3)^(1/3) – K), you get Schwarzschild’s original solution. 4. *If (u = K / (K / r + r^2 / L^2)), you get the accelerated expanding universe at cosmological scales and Newtonian physics at astronomical scales. 5. *If (u = r – K), you get the Schwarzschild metric discovered by Hilbert. ....and all of them can be converted into the other with simple coordinate transformations rendering your argument idiotic. since Schwarzchild proved that his solution is the ONLY "static, spherically symmetric, and asymptotically flat" solution that does! Notice all the examples above are static and spherically symmetric. All are asymptotically flat except (4). *Thus, Birkhoff’s theorem is proven utter nonsense by example. *shrug The schwarzchild solution is known to be the ONLY solution to the spherical mass body problem. Nonsense! On Dec 31, 11:00 am, George Hammond wrote: * *P.S....The fact that Schwarzchild's solution is the ONLY spherically symmetric solution to the EFE is known as "Birkhoff's Theorem". Nonsense! On Dec 31, 11:52 am, George Hammond wrote: P.P.S..... Jorg Jebsen a Norwegian physicist actually discovered and published Birkhoff's theorem two years earlier but because he died in poverty of tuberculous in Italy at the age of 34; when the famous mathematician George Birkhoff later rediscovered the theorem without knowing of Jebson's work it was named after him. *Alas poor Jebson. Well, either Jebson and Birkhoff are proven to be very shallow minded mathematicians, or Koobee Wublee is a great genius able to see through these nonsense. *Well, I will leave it up to you to decide. *As you know, yours truly is still a very humble scholar. *You, on the other hand, need to stick to what you do best. *That is preaching to the already religious SR/GR/Einstein worshippers. *shrug |
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On Dec 31, 10:00 pm, Eric Gisse wrote:
On Dec 31, 8:29 pm, Koobee Wublee wrote: Nonsense! There is no coordinate transformation. You don’t understand the mathematics involved. Go back to be a multi-year super- senior, and get lost. So, you are not sure if that solution above does not satisfy R_uv = 0. Well, Gisse plugged it into his software program and had verified so a year ago. There are actually infinite solutions to the field equations that are static (time invariant), spherically symmetric, and asymptotically flat (approaching flat spacetime at r = infinity). And all of them describe the same manifold - as told to you a year ago with the explicit construction of the coordinate transformation between your "different" manifold and Schwarzschild. Through Koobee Wublee’s theorem or the theorem of Generality below, you can find any solution you wish the universe to be including the accelerated expanding universe that still behaves like Newtonian at relatively smaller distances. ds^2 = c^2 T dt^2 (1 + 2 K / u) – (1 + 2 K / u) (du/dr)^2 dr^2 – (u + K)^2 dO^2 Where ** u(r) = Any function of r For example, 1. If (u = r), then you have the solution above. 2. If (u = r^2 / K), you do not get the Newtonian inverse square law for gravitation. 3. If (u = (r^3 + K^3)^(1/3) – K), you get Schwarzschild’s original solution. 4. If (u = K / (K / r + r^2 / L^2)), you get the accelerated expanding universe at cosmological scales and Newtonian physics at astronomical scales. 5. If (u = r – K), you get the Schwarzschild metric discovered by Hilbert. ...and all of them can be converted into the other with simple coordinate transformations rendering your argument idiotic. since Schwarzchild proved that his solution is the ONLY "static, spherically symmetric, and asymptotically flat" solution that does! Notice all the examples above are static and spherically symmetric. All are asymptotically flat except (4). Thus, Birkhoff’s theorem is proven utter nonsense by example. shrug The schwarzchild solution is known to be the ONLY solution to the spherical mass body problem. Nonsense! On Dec 31, 11:00 am, George Hammond wrote: P.S....The fact that Schwarzchild's solution is the ONLY spherically symmetric solution to the EFE is known as "Birkhoff's Theorem". Nonsense! On Dec 31, 11:52 am, George Hammond wrote: P.P.S..... Jorg Jebsen a Norwegian physicist actually discovered and published Birkhoff's theorem two years earlier but because he died in poverty of tuberculous in Italy at the age of 34; when the famous mathematician George Birkhoff later rediscovered the theorem without knowing of Jebson's work it was named after him. Alas poor Jebson. Well, either Jebson and Birkhoff are proven to be very shallow minded mathematicians, or Koobee Wublee is a great genius able to see through these nonsense. Well, I will leave it up to you to decide. As you know, yours truly is still a very humble scholar. You, on the other hand, need to stick to what you do best. That is preaching to the already religious SR/GR/Einstein worshippers. shrug |
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On Dec 31, 9:46*pm, Koobee Wublee wrote:
On Dec 31, 10:00 pm, Eric Gisse wrote: On Dec 31, 8:29 pm, Koobee Wublee wrote: Nonsense! *There is no coordinate transformation. *You don’t understand the mathematics involved. *Go back to be a multi-year super- senior, and get lost. Liar. r(R) = 2*R^2/(2*R-G*M) The coordinate transformation is _right there_. Why don't you check it? [snip] |
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On Dec 31, 11:13 pm, Eric Gisse wrote:
On Dec 31, 9:46 pm, Koobee Wublee wrote: Nonsense! There is no coordinate transformation. You don’t understand the mathematics involved. Go back to be a multi-year super- senior, and get lost. Liar. shrug r(R) = 2*R^2/(2*R-G*M) The coordinate transformation is _right there_. Why don't you check it? No, it is not. There is no merit to suggest a coordinate transformation. You are just so ignorant. shrug [snip] You are just an Einstein worshippers’ prostitute. shrug |
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On Dec 31, 10:37*pm, Koobee Wublee wrote:
On Dec 31, 11:13 pm, Eric Gisse wrote: On Dec 31, 9:46 pm, Koobee Wublee wrote: Nonsense! *There is no coordinate transformation. *You don’t understand the mathematics involved. *Go back to be a multi-year super- senior, and get lost. Liar. shrug r(R) = 2*R^2/(2*R-G*M) You never did check those previous two times, either. The coordinate transformation is _right there_. Why don't you check it? No, it is not. *There is no merit to suggest a coordinate transformation. *You are just so ignorant. *shrug You didn't even look. If you had looked, you would have noticed I was pointing to the wrong line element. Arrogant stupidity saves the day again. Your "solution" is not a solution. http://img58.imageshack.us/img58/8527/idiotcm5.png [snip] You are just an Einstein worshippers’ prostitute. *shrug |
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On Thu, 1 Jan 2009 00:32:38 -0800 (PST), Eric Gisse
wrote: On Dec 31, 10:37*pm, Koobee Wublee wrote: On Dec 31, 11:13 pm, Eric Gisse wrote: On Dec 31, 9:46 pm, Koobee Wublee wrote: Nonsense! *There is no coordinate transformation. *You don’t understand the mathematics involved. *Go back to be a multi-year super- senior, and get lost. Liar. shrug r(R) = 2*R^2/(2*R-G*M) You never did check those previous two times, either. The coordinate transformation is _right there_. Why don't you check it? No, it is not. *There is no merit to suggest a coordinate transformation. *You are just so ignorant. *shrug You didn't even look. If you had looked, you would have noticed I was pointing to the wrong line element. Arrogant stupidity saves the day again. Your "solution" is not a solution. http://img58.imageshack.us/img58/8527/idiotcm5.png [Hammond] It's obvious Kooby is a Hype since he's claiming Birkhoff's Theorem is "wrong" when the entire field confirmed it 75 years ago... and since it explains why a pulsating star cannot emit gravitational waves it must have sent another thousand LIGO physicists back to check it again more recently. You seemed to be convinced Kooby was simply making a (radial) coordinate transformation and doesn't actually know this can't affect the vanishing of R_uv... which sounds very likely .... on the other hand I just guessed that his metric probably didn't solve R_uv=0, even though he says it does. His claim of an "infinite number of solutions" certainly sounds like an infinite numbers of coordinate transformations, on the other hand the URL you cite above appears to show that Ricci isn't actually zero for his metric as he claims. Since he says it is, could this be a programming glitch and actually you were right the first time? I personally still suspect you're right about his "solutions" being merely coordinate transformations and he doesn't know it ...but...which explanation of "Koober's Folly" do you think is right at this point? By the way, I'm not an expert on "Koobology", but as the world's leading "PSYCHOPHYSICIST" I would diagnose Kooby as what Wikipedia defines as a "putz".....e.g. "sham contempt fueled by high levels of ironic wonder at the simple power of ham fisted intimidation". Unfortunately in this case he has been neatly snared by Birkhoff! ===================================== HAMMOND'S PROOF OF GOD WEBSITE http://geocities.com/scientific_proof_of_god mirror site: http://proof-of-god.freewebsitehosting.com GOD=G_uv (a folk song on mp3) http://interrobang.jwgh.org/songs/hammond.mp3 ===================================== |
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On Jan 1, 12:32 am, Eric Gisse wrote:
On Dec 31, 10:37 pm, Koobee Wublee wrote: Your "solution" is not a solution. http://img58.imageshack.us/img58/8527/idiotcm5.png In the following post, I gave you the following solution to the field equations that obeys Newtonian law of gravity, but this one exhibits half of the event horizon than the Schwarzschild metric. ds^2 = c^2 (1 – 2 K / r)^2 dt^2 – dr^2 / (1 – K / r)^4 – r^2 dO^2 / (1 – K / r)^2 Where ** K = G M / c^2 / 2, HALF OF THE EVENT HORIZON Reference post: http://groups.google.com/group/sci.p...162cddce87191f With this spacetime, the event horizon occurs at (2 K) which if (G M / c^2) A couple posts later, you verified that the above spacetime does indeed satisfy R_uv = 0 by saying: “A quick re-roll into grtensor showed that you are, in fact, correct. It does satisfy R_uv = 0.” Reference post: http://groups.google.com/group/sci.p...66880d4c24fdc6 Now, the solution we have been talking about is much simpler than the one above. If I can derive the above solution from Koobee Wublee’s theorem or the theorem of Generality, just how much more difficult can I derive the following? ds^2 = c^2 T dt^2 / (1 + K / r) – (1 + K / r) dr^2 – (r + K)^2 dO^2 Where ** K = 2 G M / c^2 http://img58.imageshack.us/img58/8527/idiotcm5.png And just like that last time, you don’t even know how to enter the inputs correctly. What you have entered is wrong. You need to replace the 2 instances of (2 K) with K. shrug |
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On Dec 31, 8:29*pm, Koobee Wublee wrote:
On Dec 31, 8:20 am, George Hammond wrote: Koobee Wublee wrote: Short memory? *You have been told that the following and the Schwarzschild metric are ones among an infinite solutions to the Einstein field equations that are static, spherically symmetric, and asymptotically flat. ds^2 = c^2 T dt^2 / (1 + 2 K / r) – (1 + 2 K / r) dr^2 – (r + K)^2 dO^2 Where ** *K, T = Constants ** *dO^2 = cos^2(Latitude) dLongitude^2 + dLatitude^2 * *It may be "static, spherically symmetric, and asymptotically flat" but I doubt that it satifies R_uv=0 So, you are not sure if that solution above does not satisfy R_uv = 0. *Well, Gisse plugged it into his software program and had verified so a year ago. http://img58.imageshack.us/img58/8527/idiotcm5.png It is not a valid solution of the vacuum field equations. Feel free to rationalize why you are right even though you are wrong. Again. Idiot. [snip rest] |
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