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#101
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On Feb 6, 11:54�am, Randy Poe wrote:
On Feb 6, 12:39 pm, Albertito wrote: On 6 feb, 16:48, "Androcles" wrote: wrote in message .... On 6 f�v, 02:34, Pentcho Valev wrote: http://philipball.blogspot.com/2007/...-was-innocent-.... "With the technology then available, measuring the bending of starlight was very challenging. And contrary to popular belief, Newtonian physics did not predict that light would remain undeflected - Einstein himself pointed out in 1911 that Newtonian gravity should cause some deviation too. So the matter was not that of an all-or- nothing shift in stars' positions, but hinged on the exact numbers." | Right. | Classical Newtonian mechanics predicts that light will bend with | twice the angle observed. How? I'll tell you how. In order to see how newtonian gravity can bend the trajectory of a photon, relativists fake it. They magically tranform a photon with energy E into a particle with mass m = E/2c^2, it is saying �half the mass in E = mc^2. Then, relativists assume that particle passes by the massive body from infinity travelling locally at c, and then they can apply newtonian gravity to see how its trajectory is deflected into a hyperbolic one. As a result there is a deflection angle twice the observed one. A particle with mass m = E/c^2, travelling locally at c from infinity, would be deflected in the correct angle, under newtonian gravity. Why don't you do the Newtonian calculation before making this claim? � � � � � - Randy- Hide quoted text - - Show quoted text - Well, going back to the astronaut with his slower clock, it appears to me that he would come up with a different gravitational constant than the observer on earth because the velocity of the satellite relative to earth would be faster according to his clock. Robert B. Winn |
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#102
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#103
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On 9 fév, 05:54, bz wrote:
wrote in news:3abf9bab-c868-4a05-816c-20784a206ac3 @m34g2000hsf.googlegroups.com: t will confuse nobody except nitpickers. You forget that this is a free wheeling site for discussion, not a panel of expert meant to approve papers. This is NOT a 'site for discussion'. You are posting to Usenet. Your posts get sent to tens of thousands of computers around the world that are running NNTP protocol. Your posts are stored on some of those NNTP servers 'forever'. The fact that you are using Google's interface to post to Usenet does NOT make 'this' a 'site'. Usenet predates 'the web' and Google by quite some time. Do some research and learn just what you are participating in. This particular Usenet or 'News Group' has its own rules and FAQ's. You should always read the FAQs for a group before you post to that group. -- bz please pardon my infinite ignorance, the set-of-things-I-do-not-know is an infinite set. Quite obvious. André Michaud remove ch100-5 to avoid spam trap |
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#104
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On Feb 8, 8:34 pm, Eric Gisse wrote:
On Feb 8, 8:53 am, Randy Poe wrote: [...] "Exponential growth" means, among other things, "growing faster than ANY polynomial". I always interpreted exponential to be a literal meaning. I can write a^x as exp(ln(a) * x) , so anything of that form remains exponential. Well, yes. I shouldn't have said that's a meaning, but that's a property of exponential growth. Algorithms which scale exponentially with problem size are considered "hard" in complexity theory, not tractable. The idea of finding a polynomial-time algorithm for such a problem, ANY polynomial, would be considered a revolutionary breakthrough. As you say, anything of the form a^x, or actually a^x + b^x + polynomials, is exponential and would be called O(exp(x)). And there are probably worse things than exponential. But I do think it's funny how Andre continually makes up his own meanings for words [relativistic, exponential, etc] and gets upset when folks who are educated get confused and request a translation. And then insisting he is using standard meanings. It's strange. If your whole point of being on a newsgroup is to present your "original thinking", why pretend it's not original? I thought the French were _for_ language preservation? Or does that only apply to the French language? Ah yes, m'sieu, but the language Andre is abusing is anglais. In particular, anglais scientifique. - Randy |
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#105
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On Feb 9, 5:29 am, rbwinn wrote:
On Feb 6, 12:15�pm, Randy Poe wrote: On Feb 6, 2:00 pm, Albertito wrote: On 6 feb, 18:54, Randy Poe wrote: On Feb 6, 12:39 pm, Albertito wrote: On 6 feb, 16:48, "Androcles" wrote: wrote in message ... On 6 f�v, 02:34, Pentcho Valev wrote: http://philipball.blogspot.com/2007/...-was-innocent-... "With the technology then available, measuring the bending of starlight was very challenging. And contrary to popular belief, Newtonian physics did not predict that light would remain undeflected - Einstein himself pointed out in 1911 that Newtonian gravity should cause some deviation too. So the matter was not that of an all-or- nothing shift in stars' positions, but hinged on the exact numbers." | Right. | Classical Newtonian mechanics predicts that light will bend with | twice the angle observed. How? I'll tell you how. In order to see how newtonian gravity can bend the trajectory of a photon, relativists fake it. They magically tranform a photon with energy E into a particle with mass m = E/2c^2, it is saying �half the mass in E = mc^2. Then, relativists assume that particle passes by the massive body from infinity travelling locally at c, and then they can apply newtonian gravity to see how its trajectory is deflected into a hyperbolic one. As a result there is a deflection angle twice the observed one. A particle with mass m = E/c^2, travelling locally at c from infinity, would be deflected in the correct angle, under newtonian gravity. Why don't you do the Newtonian calculation before making this claim? � � � � � - Randy The calculations have been already done by you relativists,http://www.theory.caltech.edu/people.../obsertop.html Correct. I'm only witness of that, and I see that if we double the mass assumed for a photon we attain the correct answer. There are a great many assumptions in those equations which you are not aware of. You are trying to change the meaning of the symbols midstream. Here's what those orbital mechanics equations look like for planetary orbits:http://www.go.ednet.ns.ca/~larry/orbits/kepler.html Note that E is the sum of kinetic energy and potential energy. So what are you going to use for this E? Do you really want to use mc^2 and claim it's a Newtonian model? If you were doing Newtonian gravitation the way Newton did it to calculate the planetary orbits, you'd say the kinetic energy is (1/2)*mc^2, and the potential energy is -GMm/r. Then you'd find out that the mass m drops out, that is the parameter E/m = [c^2/2 - GM/r] does not depend on m. Let's start from the basics: What is the initial velocity, what is the acceleration, what is the result? Start out with a velocity c, mass m, distance R as it passes near mass M. The acceleration experienced by the mass m is GM/R^2. That is what you would apply to the velocity vector to get the change in velocity. It does not depend on m. Trajectories of small bodies through solar systems do not depend on mass. � � � � � � - Randy- Hide quoted text - - Show quoted text - Well, you are also using the concept of absolute time if you say this. If I'm doing a Newtonian calculation, I do it with Newtonian physics. But according to scientists, they have proven that a clock in S' will run slower than a clock in S, so my question is, What does that do to Newton's equations? Whatever it does (and I have no interest in your nonsense), the result is not Newtonian physics. Call it something else. If you want to ask, "what does pure Newtonian physics predict" then the answer is done with Newtonian physics, not some hybrid. - Randy |
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#106
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On Feb 9, 6:37Â*am, Randy Poe wrote:
On Feb 9, 5:29 am, rbwinn wrote: On Feb 6, 12:15�pm, Randy Poe wrote: On Feb 6, 2:00 pm, Albertito wrote: On 6 feb, 18:54, Randy Poe wrote: On Feb 6, 12:39 pm, Albertito wrote: On 6 feb, 16:48, "Androcles" wrote: wrote in message ... On 6 f�v, 02:34, Pentcho Valev wrote: http://philipball.blogspot.com/2007/...-was-innocent-... "With the technology then available, measuring the bending of starlight was very challenging. And contrary to popular belief, Newtonian physics did not predict that light would remain undeflected - Einstein himself pointed out in 1911 that Newtonian gravity should cause some deviation too. So the matter was not that of an all-or- nothing shift in stars' positions, but hinged on the exact numbers." | Right. | Classical Newtonian mechanics predicts that light will bend with | twice the angle observed. How? I'll tell you how. In order to see how newtonian gravity can bend the trajectory of a photon, relativists fake it. They magically tranform a photon with energy E into a particle with mass m = E/2c^2, it is saying �half the mass in E = mc^2. Then, relativists assume that particle passes by the massive body from infinity travelling locally at c, and then they can apply newtonian gravity to see how its trajectory is deflected into a hyperbolic one. As a result there is a deflection angle twice the observed one. A particle with mass m = E/c^2, travelling locally at c from infinity, would be deflected in the correct angle, under newtonian gravity. Why don't you do the Newtonian calculation before making this claim? � � � � � - Randy The calculations have been already done by you relativists,http://www.theory.caltech.edu/people.../obsertop.html Correct. I'm only witness of that, and I see that if we double the mass assumed for a photon we attain the correct answer. There are a great many assumptions in those equations which you are not aware of. You are trying to change the meaning of the symbols midstream. Here's what those orbital mechanics equations look like for planetary orbits:http://www.go.ednet.ns.ca/~larry/orbits/kepler.html Note that E is the sum of kinetic energy and potential energy. So what are you going to use for this E? Do you really want to use mc^2 and claim it's a Newtonian model? If you were doing Newtonian gravitation the way Newton did it to calculate the planetary orbits, you'd say the kinetic energy is (1/2)*mc^2, and the potential energy is -GMm/r. Then you'd find out that the mass m drops out, that is the parameter E/m = [c^2/2 - GM/r] does not depend on m. Let's start from the basics: What is the initial velocity, what is the acceleration, what is the result? Start out with a velocity c, mass m, distance R as it passes near mass M. The acceleration experienced by the mass m is GM/R^2. That is what you would apply to the velocity vector to get the change in velocity. It does not depend on m. Trajectories of small bodies through solar systems do not depend on mass. � � � � � � - Randy- Hide quoted text - - Show quoted text - Well, you are also using the concept of absolute time if you say this. If I'm doing a Newtonian calculation, I do it with Newtonian physics. But according to scientists, they have proven that a clock in S' will run slower than a clock in S, so my question is, What does that do to Newton's equations? Whatever it does (and I have no interest in your nonsense), the result is not Newtonian physics. Call it something else. If you want to ask, "what does pure Newtonian physics predict" then the answer is done with Newtonian physics, not some hybrid. Â* Â* Â* Â* Â* Â* Â* - Randy- Hide quoted text - - Show quoted text - Well, OK, Randy, let's use pure Newtonian physics. Newton is sitting under a tree trying to figure out the orbit of the moon, and an apple falls and hits him on the head. So Newton remembers Galileo's experiment with the two different size rocks on the leaning tower or Pisa and decides that the moon is falling toward the earth at a rate that keeps it always at the same altitude. So he uses Kepler's equation for the radius of an orbit and figures the force required. All I asked was how a slower clock on the moon would apply to the equations. You people were the ones who said that a clock on the moon would be running slower. Now you have all of these GPS satellites, etc. How do the times on the clocks in those satellites relate to their orbits? You keep claiming that the equations that Newton used are scripture of some kind. Kepler's number was just an approximation. It did not exactly match the orbit of anything from the start. It was just an average taken from the orbits that could be observed. Maybe if clock time was used instead of absolute time, Kepler's calculation of the orbits would be closer, maybe it would be less accurate. I have no way of determining any of this. I have no time to run an experiment of that kind. I have to work every day welding. So I ask a scientist. No, Newton's equations are scripture. You cannot use them any way except the way Newton did. OK, I do not want to get into an argument with you over your religion. Just go ahead and use Newton's equations the same way he did. He used absolute time. According to him, a clock in a satellite would read the same as a clock on earth. I don't want to get you all irrational over something like this. Robert B. Winn |
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#107
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On Feb 9, 10:38 am, rbwinn wrote:
On Feb 9, 6:37 am, Randy Poe wrote: On Feb 9, 5:29 am, rbwinn wrote: On Feb 6, 12:15�pm, Randy Poe wrote: On Feb 6, 2:00 pm, Albertito wrote: On 6 feb, 18:54, Randy Poe wrote: On Feb 6, 12:39 pm, Albertito wrote: On 6 feb, 16:48, "Androcles" wrote: wrote in message ... On 6 f�v, 02:34, Pentcho Valev wrote: http://philipball.blogspot.com/2007/...-was-innocent-... "With the technology then available, measuring the bending of starlight was very challenging. And contrary to popular belief, Newtonian physics did not predict that light would remain undeflected - Einstein himself pointed out in 1911 that Newtonian gravity should cause some deviation too. So the matter was not that of an all-or- nothing shift in stars' positions, but hinged on the exact numbers." | Right. | Classical Newtonian mechanics predicts that light will bend with | twice the angle observed. How? I'll tell you how. In order to see how newtonian gravity can bend the trajectory of a photon, relativists fake it. They magically tranform a photon with energy E into a particle with mass m = E/2c^2, it is saying �half the mass in E = mc^2. Then, relativists assume that particle passes by the massive body from infinity travelling locally at c, and then they can apply newtonian gravity to see how its trajectory is deflected into a hyperbolic one. As a result there is a deflection angle twice the observed one. A particle with mass m = E/c^2, travelling locally at c from infinity, would be deflected in the correct angle, under newtonian gravity. Why don't you do the Newtonian calculation before making this claim? � � � � � - Randy The calculations have been already done by you relativists,http://www.theory.caltech.edu/people.../obsertop.html Correct. I'm only witness of that, and I see that if we double the mass assumed for a photon we attain the correct answer. There are a great many assumptions in those equations which you are not aware of. You are trying to change the meaning of the symbols midstream. Here's what those orbital mechanics equations look like for planetary orbits:http://www.go.ednet.ns.ca/~larry/orbits/kepler.html Note that E is the sum of kinetic energy and potential energy. So what are you going to use for this E? Do you really want to use mc^2 and claim it's a Newtonian model? If you were doing Newtonian gravitation the way Newton did it to calculate the planetary orbits, you'd say the kinetic energy is (1/2)*mc^2, and the potential energy is -GMm/r. Then you'd find out that the mass m drops out, that is the parameter E/m = [c^2/2 - GM/r] does not depend on m. Let's start from the basics: What is the initial velocity, what is the acceleration, what is the result? Start out with a velocity c, mass m, distance R as it passes near mass M. The acceleration experienced by the mass m is GM/R^2. That is what you would apply to the velocity vector to get the change in velocity. It does not depend on m. Trajectories of small bodies through solar systems do not depend on mass. � � � � � � - Randy- Hide quoted text - - Show quoted text - Well, you are also using the concept of absolute time if you say this. If I'm doing a Newtonian calculation, I do it with Newtonian physics. But according to scientists, they have proven that a clock in S' will run slower than a clock in S, so my question is, What does that do to Newton's equations? Whatever it does (and I have no interest in your nonsense), the result is not Newtonian physics. Call it something else. If you want to ask, "what does pure Newtonian physics predict" then the answer is done with Newtonian physics, not some hybrid. - Randy- Hide quoted text - - Show quoted text - Well, OK, Randy, let's use pure Newtonian physics. Newton is sitting under a tree trying to figure out the orbit of the moon, and an apple falls and hits him on the head. So Newton remembers Galileo's experiment with the two different size rocks on the leaning tower or Pisa and decides that the moon is falling toward the earth at a rate that keeps it always at the same altitude. So he uses Kepler's equation for the radius of an orbit and figures the force required. Garbled. But at any rate, in Newtonian physics we can write the equation GMm/r^2 = d^2/dt^2 [m*x ] and calculate the behavior of mass m in the presence of mass M. All I asked was how a slower clock on the moon would apply to the equations. Didn't you start this post with this statement: "let's use pure Newtonian physics."? There's no "slower clock on the moon" in pure Newtonian physics. You people were the ones who said that a clock on the moon would be running slower. Faster, actually. In the theory called GR. Not in "pure Newtonian physics". Now you have all of these GPS satellites, etc. How do the times on the clocks in those satellites relate to their orbits? Well, that's a different question. Did you want to ask a question about satellite orbits in GR or in Newtonian mechanics? Don't say "Newtonian" and then ask a GR question. I'm going to try to make an analogy with a subject you might understand: welding. If I weld the left half of a Mercedes-Benz to the right half of a Volkswagon Beetle, and find this creates all sorts of problems, does this tell me that the Benz is poorly designed? OK, OK, let's just talk about the pure Benz and how poorly it handles. I took my welded Benz-Beetle out for a drive and found... what's that? That's not a pure Benz anymore? What's wrong with you? I'm just trying to ask you a question about handling of the Mercedes Benz! You keep claiming that the equations that Newton used are scripture of some kind. No, I'm claiming that if you want to claim you're doing Newtonian mechanics, you should be using the Newtonian physics. If you want to throw something else in there, you can certainly do it, there's no law against it. But it's no longer Newtonian physics. What, is the Mercedes Benz some holy grail that I'm not allowed to weld onto? Was it created by St. Peter or something? What's wrong with my welding job? Just answer the question about why the handling of the Mercedes is so bad, based on my experiments with my welded vehicle! Kepler's number was just an approximation. What number? It did not exactly match the orbit of anything from the start. But Newton's equations matched the behavior astonishingly well, and could even be extended to model the interaction of multiple bodies with high accuracy. To the extent that NASA still uses them, and so does every agency which tracks the thousands of bits of spacecraft and rubble traveling around the earth. It was just an average taken from the orbits that could be observed. That's nice, but we were talking about Newton's theory, not Kepler's. Newton explained Kepler's Laws, and also in what way they are an approximation. Maybe if clock time was used instead of absolute time, Kepler's calculation of the orbits would be closer, maybe it would be less accurate. I have no way of determining any of this. I have no time to run an experiment of that kind. I have to work every day welding. So I ask a scientist. No, Newton's equations are scripture. If you ask me about Newton's equations, then those are the equations I'm going to use. You've dragged both pre-Newton and post-Newton science into this discussion. Are you asking about Newton's equations or not? What the hell is wrong with this Mercedes Benz anyway? It's just a terrible car. You cannot use them any way except the way Newton did. I can use them any way I want. And I can even change them. But then I have to say they aren't Newton's equations any more. What's wrong with saying that? Why do you want to change them and then pretend they're unchanged? You want to explore the welded theory, let's do it. - Randy |
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#108
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On 9 fév, 08:34, Randy Poe wrote:
On Feb 8, 8:34 pm, Eric Gisse wrote: On Feb 8, 8:53 am, Randy Poe wrote: [...] "Exponential growth" means, among other things, "growing faster than ANY polynomial". I always interpreted exponential to be a literal meaning. I can write a^x as exp(ln(a) * x) , so anything of that form remains exponential. Well, yes. I shouldn't have said that's a meaning, but that's a property of exponential growth. Algorithms which scale exponentially with problem size are considered "hard" in complexity theory, not tractable. The idea of finding a polynomial-time algorithm for such a problem, ANY polynomial, would be considered a revolutionary breakthrough. As you say, anything of the form a^x, or actually a^x + b^x + polynomials, is exponential and would be called O(exp(x)). And there are probably worse things than exponential. But I do think it's funny how Andre continually makes up his own meanings for words [relativistic, exponential, etc] and gets upset when folks who are educated get confused and request a translation. And then insisting he is using standard meanings. It's strange. If your whole point of being on a newsgroup is to present your "original thinking", why pretend it's not original? That's where you have it wrong. I am not here to present my thinking original or not. Here to offer info to newbees and occasionally discuss with openminded individuals. I always mirrorred disingenuity will disingenuity and close-mindedness with close-mindedness, and it will remain so for as long as I post here. You and your bunch will get exactly zip out of me. André Michaud |
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#109
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On Feb 9, 7:47 am, wrote:
On 9 fév, 08:34, Randy Poe wrote: On Feb 8, 8:34 pm, Eric Gisse wrote: On Feb 8, 8:53 am, Randy Poe wrote: [...] "Exponential growth" means, among other things, "growing faster than ANY polynomial". I always interpreted exponential to be a literal meaning. I can write a^x as exp(ln(a) * x) , so anything of that form remains exponential. Well, yes. I shouldn't have said that's a meaning, but that's a property of exponential growth. Algorithms which scale exponentially with problem size are considered "hard" in complexity theory, not tractable. The idea of finding a polynomial-time algorithm for such a problem, ANY polynomial, would be considered a revolutionary breakthrough. As you say, anything of the form a^x, or actually a^x + b^x + polynomials, is exponential and would be called O(exp(x)). And there are probably worse things than exponential. But I do think it's funny how Andre continually makes up his own meanings for words [relativistic, exponential, etc] and gets upset when folks who are educated get confused and request a translation. And then insisting he is using standard meanings. It's strange. If your whole point of being on a newsgroup is to present your "original thinking", why pretend it's not original? That's where you have it wrong. I am not here to present my thinking original or not. Here to offer info to newbees and occasionally discuss with openminded individuals. ....only as long they don't know enough to argue with you, right? I always mirrorred disingenuity will disingenuity and close-mindedness with close-mindedness, and it will remain so for as long as I post here. You and your bunch will get exactly zip out of me. André Michaud |
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#110
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On Feb 9, 7:53 pm, rbwinn wrote:
OK, so you do not believe Kepler had a number. I didn't say whether I believed Kepler had a number of not. I asked you what number you were referring to. Kepler thought that he did. It was R^3/T^2 = 3.353, more or less. OK, that's a number. What about it? Newton used Kepler's number in his equation for the centripetal force on a planet. No, Newton didn't "use Kepler's number". Newton proved why R and T have this relation from more fundamental considerations. Now I don't know what you are saying about welding. I'm asking you what theory you want to talk about. (1) Newton's theory, which would be the theory that, you know, was Newton's. I will only insist on sticking to Newton physics if you say that we are having a "pure Newtonian" discussion. That would be what is implied by the words "Newtonian" and "pure". (2) GR, where time is affected by gravitational potential and orbits are geodesics, or (3) Some theory where you have welded GR results with Newtonian equations, which is neither GR nor Newton but a hybrid monster, and possibly not drivable. I'm happy to talk about one, but you have to pick. Don't say you're talking about (1) and then immediately switch to (3). You have some question about the GR effect of time and gravitational fields. So we're in either (2) or (3). Which is it, and what's your question? - Randy |
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