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#61
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On Feb 27, 8:37*pm, Tom Roberts wrote:
Ken S. Tucker wrote: The ISU has set the signature to (++++), That's complete and utter nonsense. No standards organization can possibly "set" something like that -- it inherently depends on the manifold and metric in question. In SR and GR, the metric can have signature +++- or ---+ (order doesn't matter); there is no observable difference between those two choices (in SR and GR). http://physics.trak4.com/modern-spacetime.pdf which I generally use because it's simple and arbituary. Referencing yourself is just downright silly. So far as I know, General Covariance permits any signature you want. Then you clearly do not know enough. For a given manifold with metric, the signature is fixed, and no diffeomorphism or change of coordinates can change it (that's the essence of general covariance). There are no physical laws forcing a specific definition of the signature. Again, you clearly do not know enough. For GR to be applied, one must use a metric with one of the two signatures I mentioned above -- no others come anywhere close to providing an accurate model of the world we inhabit. Tom Roberts xxein: That you know of... |
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#62
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On Feb 27, 5:37 pm, Tom Roberts wrote:
Ken S. Tucker wrote: The ISU has set the signature to (++++), That's complete and utter nonsense. No standards organization can possibly "set" something like that -- it inherently depends on the manifold and metric in question. In SR and GR, the metric can have signature +++- or ---+ (order doesn't matter); there is no observable difference between those two choices (in SR and GR). http://physics.trak4.com/modern-spacetime.pdf which I generally use because it's simple and arbituary. Referencing yourself is just downright silly. So far as I know, General Covariance permits any signature you want. Then you clearly do not know enough. For a given manifold with metric, the signature is fixed, and no diffeomorphism or change of coordinates can change it (that's the essence of general covariance). There are no physical laws forcing a specific definition of the signature. Again, you clearly do not know enough. For GR to be applied, one must use a metric with one of the two signatures I mentioned above -- no others come anywhere close to providing an accurate model of the world we inhabit. Tom Roberts If you want your boundary condition to be g11 = -1 , fine, then you're entitled to by setting the scalar product of the unit vectors as, g11 = u1.u1 = -1 (use "" as vector notation), with magnitude |u1| = sqrt(-1), and |u4|=1 to get g44=+1. I don't give a flying **** what you do, it's your decision, do what you want, that's General Covariance talking. OTOH, don't try bullying the ISU when L=cT is entrenched in 1983 and is fine with us, giving, unit vector magnitudes |u1| = meter == (|u4| = second) . That's our decision. The genuis's all got together 25 years ago and agreed, c = 299 792 458 meters / second. so now c*second = 299 792 458 meters. There are no negative numbers in that, so working Modern SpaceTime, it's ok that |u4| = |u1|, rendering the boundary g44=g11 and the so-called signature (++++). Our modest website ref demo's how that decision is in accord with physics, including -Quantum Theory, -Mass definition, -Unified Field Theory. But the theory, as all theories, are subject to experimental results. In that case both LIGO and GP-b results, will be important measurements for the future of GR, as we know it. Regards Ken S. Tucker |
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#63
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On Feb 27, 4:04 pm, xxein wrote:
On Feb 26, 2:31 am, wrote: On Feb 16, 7:34 wrote: On Feb 13, 11:49 pm, Edward Green wrote: Yet the Kerr solution supposedly entrains mass to move in the same sense of rotation, which it could not do if the GR field only saw Time for a new theory, huh? The fact is that present theories are primarily for the purpose of utilization and manipulation. They were offspring of coarser attempts and did not alter their dna to an understanding of the physic, itself. As you noticed, our theories simply do not address enough. Hixxein I used to post here often with an alternative theory that you might not have seen looking at the idea that if time dilation i.e. time slowing due to gravity could contract matter, what would happen. Well it led to a whole bunch of new ideas but what really sold me on this new idea is that I could think up experiments to test and prove the theory.You will note that I am not the best at math and terminology but my understanding of how things actually work is quite good. I just started a few days ago putting up a new web sitewww.alttheories.com to save me time re explaining how the theory works so take a look and let me know what you think. The theory has a lot more that I will need to add to the site as I find time. Dale xxein: Sorry. I'll be kind and just say that it has no hope of being the reality. Hi xxein Thats surprising,I figured you might not be sure about what to say but a clear opinion of wrong is interesting.If its wrong I will need to either remove the theory from my site or revise it at some level of very speculative.Forgive me for being skeptical I just got done arguing with another poster that turned out to think, or at least claim that hydrogen had antigravity properties.After I found this out I did not worry much anymore about his opinions on my theories. As I really don't know you or how much you do know about this subject so I do at least have to ask if you do know what gravitational time dilation is and if you also know how it works.Shapiro effect, etc otherwise you wont get the basis of the theory at all.I did a look at your profile but didn't find much for me to be able to tell much about you except for one posting made me wonder. Where did you decide it was wrong.Is it where I use the polvalt in barn Gedanken with the time dilation inside.It could be because you are looking at the rods prospective as I did not go into exploring those types of questions on the site as it would have taken too much print but it did not appear to refute the theory. Dale |
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#64
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On Feb 27, 5:48 pm, xxein wrote:
On Feb 27, 8:37 pm, Tom Roberts wrote: Ken S. Tucker wrote: The ISU has set the signature to (++++), That's complete and utter nonsense. No standards organization can possibly "set" something like that -- it inherently depends on the manifold and metric in question. In SR and GR, the metric can have signature +++- or ---+ (order doesn't matter); there is no observable difference between those two choices (in SR and GR). http://physics.trak4.com/modern-spacetime.pdf which I generally use because it's simple and arbituary. Referencing yourself is just downright silly. So far as I know, General Covariance permits any signature you want. Then you clearly do not know enough. For a given manifold with metric, the signature is fixed, and no diffeomorphism or change of coordinates can change it (that's the essence of general covariance). There are no physical laws forcing a specific definition of the signature. Again, you clearly do not know enough. For GR to be applied, one must use a metric with one of the two signatures I mentioned above -- no others come anywhere close to providing an accurate model of the world we inhabit. Tom Roberts xxein: That you know of... xxein Read your essay/post (twice) a few days back, very nice. Maybe we should start a war between those who use Polar CS's and those who use Cartesian CS's, it's ****ing religious ****. Next we'll start a war between those using (+---) against those using (-+++), that has been going for a century. Lot's of crazies in this world. Regards Ken |
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#65
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On Feb 28, 1:02 pm, "Ken S. Tucker" wrote:
On Feb 27, 5:48 pm, xxein wrote: On Feb 27, 8:37 pm, Tom Roberts wrote: Ken S. Tucker wrote: The ISU has set the signature to (++++), That's complete and utter nonsense. No standards organization can possibly "set" something like that -- it inherently depends on the manifold and metric in question. In SR and GR, the metric can have signature +++- or ---+ (order doesn't matter); there is no observable difference between those two choices (in SR and GR). http://physics.trak4.com/modern-spacetime.pdf which I generally use because it's simple and arbituary. Referencing yourself is just downright silly. So far as I know, General Covariance permits any signature you want. Then you clearly do not know enough. For a given manifold with metric, the signature is fixed, and no diffeomorphism or change of coordinates can change it (that's the essence of general covariance). There are no physical laws forcing a specific definition of the signature. Again, you clearly do not know enough. For GR to be applied, one must use a metric with one of the two signatures I mentioned above -- no others come anywhere close to providing an accurate model of the world we inhabit. Tom Roberts xxein: That you know of... xxein Read your essay/post (twice) a few days back, very nice. Maybe we should start a war between those who use Polar CS's and those who use Cartesian CS's, it's ****ing religious ****. Next we'll start a war between those using (+---) against those using (-+++), that has been going for a century. Its' a choice, Ken. Stop kooking out over the irrelevant. Lot's of crazies in this world. Regards Ken |
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#66
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On Feb 28, 5:02*pm, "Ken S. Tucker" wrote:
On Feb 27, 5:48 wrote: On Feb 27, 8:37 pm, Tom Roberts wrote: Ken S. Tucker wrote: The ISU has set the signature to (++++), That's complete and utter nonsense. No standards organization can possibly "set" something like that -- it inherently depends on the manifold and metric in question. In SR and GR, the metric can have signature +++- or ---+ (order doesn't matter); there is no observable difference between those two choices (in SR and GR). http://physics.trak4.com/modern-spacetime.pdf which I generally use because it's simple and arbituary. Referencing yourself is just downright silly. So far as I know, General Covariance permits any signature you want. Then you clearly do not know enough. For a given manifold with metric, the signature is fixed, and no diffeomorphism or change of coordinates can change it (that's the essence of general covariance). There are no physical laws forcing a specific definition of the signature. Again, you clearly do not know enough. For GR to be applied, one must use a metric with one of the two signatures I mentioned above -- no others come anywhere close to providing an accurate model of the world we inhabit. Tom Roberts xxein: *That you know of... xxein Read your essay/post (twice) a few days back, very nice. Maybe we should start a war between those who use Polar CS's and those who use Cartesian CS's, it's ****ing religious ****. Next we'll start a war between those using (+---) against those using (-+++), that has been going for a century. Lot's of crazies in this world. Regards Ken- Hide quoted text - - Show quoted text - xxein: Thanks. But I wonder if it changed your perspective. There was so much that I wanted to add as a post to myself (and never did) that is equally food for logical thought and equally tantalising. And now in this thread, there are discussions about what a math means. 'Yes, it's real', 'No, it isn't' or 'No, yours isn't' and mine is. This addiction to math is getting way away from a physical logic. I keep repeating that there is a subjective 'physics' and an 'objective' physics and that Einstein's method is subjective. And then there is 'do the math' or 'read this chapter'. It means nothing beyond its own belief. Granted that I may never be the wisest sage, but in this matter, I can't find one at all. I've had my four+ years of university study (whatever that is supposed to mean) and aside from the certain enlightenments, it was always outmoded. Even the classic prose is continually second-guessed. But that's OK because we were never sure to start with. Science is no different. We continually change theory. Math, otoh, seemed to be of another breed. It seemed pure, and that as a tool, we could only reinforce it. Well? I hope you are learning differently. It is driven by the concept that it applies to. While there is still a 'pure' math, it is just like 'fairy dust'. Without an application it is 'ethereal'. It has a structure, but not one that is applicable without the concept of a 'sounding board'. Outside of itself, it only applies to the conception we use it for. 1 planet + 1 planet = 2 planets. Who could argue against this? It is math. But in the physical realm, what does it mean? So we give them motion and gravity. But there are other objects and forces. They come both big and small. Gravity is both big and small. What is the driving concept? It is certainly not math. This is where a mathematical 'proof' fails in physics. We can 'bend' the math to a concept. Math can remain pure in itself, but its application can't. This is like saying the matrix is false if the vectors are not of proscribed basis. The vectors are false if they do not represent a certain concept. We hardly know whether a vector is subjective or objective in its observation. My money says it is merely subjective. But we can be objectively oriented sometimes. The dividing line is rather obscure, though. But why should there be such a dividing line in the first place? Why should a math be able to configure to these different forms of concept unless math is corrupted by these forms? So let's say "yea" to math as long as it is not applied to anything but itself. I hope you understand. And thanks, again. |
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#67
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On Feb 26, 1:45*am, Koobee Wublee wrote:
On Feb 25, 9:39 am, Edward Green wrote: On Feb 25, 12:03 am, Koobee Wublee wrote: Did you not have claimed the following? "The _components_ of the tensor may be observer dependent, but the abstract tensor itself is independent of any coordinate system." Yes I did. *But in context, that hardly seems like an extraordinary claim; it's a quite ordinary claim. For example, I have the following simple matrix with elements a, b, c, and d. *As you have already agreed that a, b, c, and d can be observer dependent. I have? Oh... I suppose you mean that a,b,c,d are the components of a tensor. [a, b] [c, d] Now, if I factor out any non-zero element (say a), the above matrix becomes the following. a [1, b / a] * [c / a, d / a] If the original matrix as you have claimed can be observer independent, I did? You just said that I agreed that the components were "observer dependent". Perhaps that's what you meant. then how can you justify the second matrix with elements 1, (b / a), (c / a), and (d / a) to be observer dependent since the factor a is observer dependent as well? By "observer dependent" we mean "coordinate system dependent" or "basis dependent". If I factor out a non-zero number then implicitly I'm changing the units. The numeric values of the elements of a tensor are dependent on the choice of units as well as on the orientation of the basis vectors. So where is the problem? You need to resolve this mathematical conflict of yours in order for us to continue our discussions. That's OK. I'll leave it be. I recall your handle from a few years ago, at which time I formed some spot model something like "grad student posting under a funny name, semi-serious". I see that at least now I must at least revise my estimation of either your skill or your intent: you either know and understand even less than even I do, which is not a very high upper bound, and are arrogant about it, or your intent is to laugh at the stupidity of people who try to reason with you, or you are impersonating the original holder of that handle on gmail, or any combination of these conditions. The rest of crap is snipped mercifully. Thanks for the kind words. Likewise, I'm sure. |
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#68
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On Feb 28, 8:03 pm, Edward Green wrote:
On Feb 26, 1:45 am, Koobee Wublee wrote: For example, I have the following simple matrix with elements a, b, c, and d. As you have already agreed that a, b, c, and d can be observer dependent. I have? Oh... I suppose you mean that a,b,c,d are the components of a tensor. Yes. [a, b] [c, d] Now, if I factor out any non-zero element (say a), the above matrix becomes the following. a [1, b / a] [c / a, d / a] If the original matrix as you have claimed can be observer independent, I did? You just said that I agreed that the components were "observer dependent". Perhaps that's what you meant. Yes. then how can you justify the second matrix with elements 1, (b / a), (c / a), and (d / a) to be observer dependent since the factor a is observer dependent as well? By "observer dependent" we mean "coordinate system dependent" or "basis dependent". If I factor out a non-zero number then implicitly I'm changing the units. The numeric values of the elements of a tensor are dependent on the choice of units as well as on the orientation of the basis vectors. So where is the problem? The problem is that you are still stuck in your matheMagic realm where you can turn an ordinary matrix into a tensor by saying 'abracadabra'. shrug You need to resolve this mathematical conflict of yours in order for us to continue our discussions. That's OK. I'll leave it be. Thank you. I recall your handle from a few years ago, at which time I formed some spot model something like "grad student posting under a funny name, semi-serious". I see that at least now I must at least revise my estimation of either your skill or your intent: you either know and understand even less than even I do, which is not a very high upper bound, and are arrogant about it, or your intent is to laugh at the stupidity of people who try to reason with you, or you are impersonating the original holder of that handle on gmail, or any combination of these conditions. What handle is that? Do you know me? The rest of crap is snipped mercifully. Thanks for the kind words. You are very welcome. Likewise, I'm sure. Where? |
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#69
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On Feb 28, 6:58 pm, xxein wrote:
On Feb 28, 5:02 pm, "Ken S. Tucker" wrote: On Feb 27, 5:48 wrote: On Feb 27, 8:37 pm, Tom Roberts wrote: Ken S. Tucker wrote: The ISU has set the signature to (++++), That's complete and utter nonsense. No standards organization can possibly "set" something like that -- it inherently depends on the manifold and metric in question. In SR and GR, the metric can have signature +++- or ---+ (order doesn't matter); there is no observable difference between those two choices (in SR and GR). http://physics.trak4.com/modern-spacetime.pdf which I generally use because it's simple and arbituary. Referencing yourself is just downright silly. So far as I know, General Covariance permits any signature you want. Then you clearly do not know enough. For a given manifold with metric, the signature is fixed, and no diffeomorphism or change of coordinates can change it (that's the essence of general covariance). There are no physical laws forcing a specific definition of the signature. Again, you clearly do not know enough. For GR to be applied, one must use a metric with one of the two signatures I mentioned above -- no others come anywhere close to providing an accurate model of the world we inhabit. Tom Roberts xxein: That you know of... xxein Read your essay/post (twice) a few days back, very nice. Maybe we should start a war between those who use Polar CS's and those who use Cartesian CS's, it's ****ing religious ****. Next we'll start a war between those using (+---) against those using (-+++), that has been going for a century. Lot's of crazies in this world. Regards Ken- Hide quoted text - - Show quoted text - xxein: Thanks. But I wonder if it changed your perspective. There was so much that I wanted to add as a post to myself (and never did) that is equally food for logical thought and equally tantalising. And now in this thread, there are discussions about what a math means. 'Yes, it's real', 'No, it isn't' or 'No, yours isn't' and mine is. This addiction to math is getting way away from a physical logic. I keep repeating that there is a subjective 'physics' and an 'objective' physics and that Einstein's method is subjective. And then there is 'do the math' or 'read this chapter'. It means nothing beyond its own belief. Granted that I may never be the wisest sage, but in this matter, I can't find one at all. I've had my four+ years of university study (whatever that is supposed to mean) and aside from the certain enlightenments, it was always outmoded. Even the classic prose is continually second-guessed. But that's OK because we were never sure to start with. Science is no different. We continually change theory. Math, otoh, seemed to be of another breed. It seemed pure, and that as a tool, we could only reinforce it. Well? I hope you are learning differently. I've learned that ill defined variables are a PITA in mathematical physics. In math it's so easy, but inter-relating variables to physics is 80% of the problem. It is driven by the concept that it applies to. While there is still a 'pure' math, it is just like 'fairy dust'. Without an application it is 'ethereal'. It has a structure, but not one that is applicable without the concept of a 'sounding board'. Outside of itself, it only applies to the conception we use it for. 1 planet + 1 planet = 2 planets. Who could argue against this? Yup, 1 apple + 1 orange = 2 fruits. It is math. But in the physical realm, what does it mean? So we give them motion and gravity. But there are other objects and forces. They come both big and small. Gravity is both big and small. What is the driving concept? It is certainly not math. This is where a mathematical 'proof' fails in physics. We can 'bend' the math to a concept. Math can remain pure in itself, but its application can't. This is like saying the matrix is false if the vectors are not of proscribed basis. The vectors are false if they do not represent a certain concept. We hardly know whether a vector is subjective or objective in its observation. My money says it is merely subjective. Yeah, standing on a weigh scale is a suppose force vector pointe at earth. But we can be objectively oriented sometimes. The dividing line is rather obscure, though. But why should there be such a dividing line in the first place? Why should a math be able to configure to these different forms of concept unless math is corrupted by these forms? As a brat, I was navigator for cross- country trips, keeping an eye on the MPH, and the map I'd predict ETA's. My ETA's were "corrupted" by slow drivers that the OLD BOY couldn't pass. So let's say "yea" to math as long as it is not applied to anything but itself. I'm not sure that's an option in our world where the "bean counters" find the most efficient way of doing things, when building Pyramids. I hope you understand. And thanks, again. Welcome and thanks back. I think you lean somewhat pessimistic, but your points are well taken. Regards Ken S. Tucker |
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#70
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On Feb 28, 11:20 pm, Koobee Wublee wrote:
[snip] The problem is that you are still stuck in your matheMagic realm where you can turn an ordinary matrix into a tensor by saying 'abracadabra'. shrug In other words, you do not understand. [snip] |
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