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| Tags: einstein, stole, tensors |
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#11
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On Oct 6, 10:45 pm, Eric Gisse wrote: On Sat, 6 Oct 2007 16:21:58 -0400, "Pmb" wrote: [snip junk] Goddamnit Pete, all you do is give him a reason to continue his dyslexic trolling. Learn some pattern recognition. It takes time for me to determine who I should Plonk. It took me a while to figure out that I needed to plonk you! Pete |
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#12
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On 2007-10-06, nill wrote:
i hear a lot of people around me telling that it wasnt einstein inventing relativity, but some other guys before him Lorentz and Poincare did important work but were never able to make the final leap that Einstein made. Also, I don't believe they had that much influence on Einstein's 1905 paper. exactly what was einsteins contributon to relativity, did he stole his tensors? Einstein's GR depended on mathematics developed by Ricci and Levi-Civita (and many others that preceded them). Dave Cook |
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On Oct 6, 4:19 pm, JanPB wrote:
On Oct 6, 12:15 pm, nill wrote: i hear a lot of people around me telling that it wasnt einstein inventing relativity, but some other guys before him exactly what was einsteins contributon to relativity, did he stole his tensors? If you are new to this group, you are probably owed an explanation. It so happens that most of the posters to this group are an odd collection of what could be charitably described as "armchair critics". Because of that anyone interested in finding out the truth about relativity must bring with him a Brobdingnagian-size BS filter. [...] You are merely talking about yourself. shrug Talking about history, it was Galileo several hundred years ago who had already discussed the principle of relativity. In 1887, Voigt was the first to suggest constancy in the speed of light as an explanation of the null results of Michelson's 1881 experiment. In doing so, Voigt modified the Galilean transform for the constancy of the speed of light. However, the Voigt transform violates the principle of relativity. In 1887 after studying Voigt's work, Larmor modified the Voigt transform to become the Lorentz transform. SR is just an interpretation to the Lorentz transform in which Einstein reverse-engineered it. By re-discovering the principle of relativity and claiming the constancy in the speed of light, Einstein was able to re-derive the Lorentz transform in the most BS fashion possible. Of course in doing so with any references, Einstein claimed he had derived the Lorentz transform. Yes, only through BS. The road to GR also went through similar dishonesty on Einstein's part. In 1908, Einstein, after finally understood the Newtonian law of gravity, re-discovered the principle of equivalence through once again reverse-engineering. As we all know, it was Galileo who had first described this principle that served as a foundation in the Newton's law of gravity. Even before Einstein, Riemann during the middle of the nineteenth century was already suggesting curvature in space. He even suggested the curvature in space was the cause of gravitation. After Minkowski simplified the Lorentz transform in 1908, the Goettingen group of scientists that included Hilbert, Schwarzschild, Klein, and Minkowski himself were already discussing the curvature in spacetime as an extension of Riemann's curvature in space. These guys just had no clue on how to obtain the metric. In the meantime, Einstein due to his gross incompetence in mathematical skills enlisted Grossmann's help to see if they could expand on the principle of equivalence. As we all know, Newton was only able to come up with the law of gravity after observing how an apple behaved under the influence of gravitation. Einstein tried to re-derive gravitation by picturing himself as that falling apple. So "Hey, look, mom. No hands. Marcel [Grossmann] and I are falling in space and we expect to discover the secret of gravitation." failed miserably. Disgusted with Grossmann, Einstein turned to Goettingen for help. The field equations were only derived after Hilbert pulled out the Lagrangian to the Einstein-Hilbert action. During the fall of 1905, Hilbert and Einstein exchanged several letters. In doing so, Hilbert must have disclosed this Lagrangian to Einstein. Five days after Hilbert presented his field equations, Einstein did the same. So, nill has asked the right questions that are what are exactly Einstein's contributions in the theories of relativity. The answer is none. What do you expect from a nitwit, a plagiarist, and a liar as Einstein himself anyway? shrug |
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On Oct 6, 9:16 pm, Dave Cook wrote:
Lorentz and Poincare did important work but were never able to make the final leap that Einstein made. Also, I don't believe they had that much influence on Einstein's 1905 paper. Who care about what Lorentz and Poincare did? Their interpretations were all based on the Lorentz transform which was first derived by Larmor anyway. shrug The event that would branch SR from the traditional development of physics came in 1881 when Michelson improvised an experiment utilizing the interferometer to detect the earth's speed relative to the background of the Aether. The results showed this speed was zero through out the seasons. While all contemporary physicists would claim Michelson's experiment lacked the necessary accuracy, Voigt finally proposed the Voigt transform below as a modification of the Galilean transform to explain these null results. ** dt' = dt - v dx / c^2 ** dx' = dx - v dt ** dy' = dy sqrt(1 - v^2 / c^2) ** dz' = dz sqrt(1 - v^2 / c^2) Understanding that the classical Doppler shift is to keep the wavelength to be constant in the medium of transmission, Voigt's insight was to hold the speed constant instead of the wavelength. Voigt in 1887 was already suggesting constancy in the speed of light. Obviously, the Voigt transform violates the principle of relativity in which the Galilean transform does not as described below. ** dt'= dt ** dx' = dx - v dt ** dy' = dy ** dz' = dz' In 1887, Michelson would co-operate with Morley to conduct the more famous Michelson-Morley experiment which was essentially the same experiment as in 1881 but with better accuracy. Once again, the results were null. It prompted FitzGerald and then Lorentz independently to suggest a length contraction, but this suggestion was totally unnecessary. In 1897, Larmor, knowing about the Voigt transform, modified the Voigt transform to the Lorentz transform below that allows the principle of relativity which was already established by Galileo several hundred years prior. ** dt' = (dt - v dx / c^2) / sqrt(1 - v^2 / c^2) ** dx' = (dx - v dt) / sqrt(1 - v^2 / c^2) ** dy' = dy ** dz' = dz Over the years, Poincare and Lorentz each would come up with his own interpretation to the mathematics of the Lorentz transform. By 1905, Einstein or whoever the author of that 1905 paper was merely echoed Poincare's conjecture. The nonsense of the Lorentz transform was finally pointed out by Langevin in 1911 as the twin's paradox. The combination of time dilation and the principle of relativity is the cause of this paradox. To this day, besides numerous false claims all contracting each other, this paradox is still not yet resolved. The most serious attempt in resolution of this paradox was suggested by Einstein through the break-up of the symmetry due to different experiences of acceleration by each twin. However, one can easily dispute this nonsense by suggesting an experiment that both twins going through the same acceleration profile. Einstein's GR depended on mathematics developed by Ricci and Levi-Civita (and many others that preceded them). It was Hilbert who derived the field equations from the mathematical inventions of Ricci and Levi-Civita after Riemann and Christoffel had already paved the necessary but still very valid mathematics. The development of GR first diverged from Newtonian physics around the middle of the nineteenth century, when Riemann wrote down the relationship of an actual displacement segment to how an observer observes this same displacement segment. ds^2 = g_ij dq^i dq^j Where ** ds = Invariant geometry in displacement ** g_ij = Elements of the metric ** dg^i = Observer's choice of coordinate system ** i, j = 1, 2, 3 (3 spatial dimensions) The shortest distance through the actual space (invariant geometry) can now be computed using the calculus of variations. This was exactly how Christoffel did it in the famous geodesic equations. d^2q^n/ds^2 + g^nk (@g_ik/@q^j + @g_jk/@q^i - @g_ij/@q^k) @q^i/@s @q^j/ @s / 2 = 0 Where ** i, j, k, n = 1, 2, 3 ** @ = Partial derivative operator The quantities called the connection coefficients in the geodesic equations become the Christoffel symbols of the second kind below. Y^n_ij = g^nk (@g_ik/@q^j + @g_jk/@q^i - @g_ij/@q^k) / 2 Where ** d^2q^n/ds^2 + Y^n_ij @q^i/@s @q^j/@s = 0 However, due to the symmetry in the metric, there is at least another way of presenting the geodesic equations. d^2q^n/ds^2 + g^nk (@g_ik/@q^j - @g_ij/@q^k / 2) @q^i/@s @q^j/@s = 0 In doing so, the connection coefficients are very different from the Christoffel symbols of the second kind. Z^n_ij = g^nk @g_ik/@q^j - @g_ij/@q^k / 2 Where ** d^2q^n/ds^2 + Z^n_ij @q^i/@s @q^j/@s = 0 About a decade before the transition of the nineteenth and the twentieth centuries, Ricci defined the covariant derivative based on the geodesic equations and the connection coefficients. However, Ricci did not know there is another set of connection coefficients that are equally valid to describe the geodesic equations as the Christoffel symbols of the second kind. DX^n/Ds = dX^n/ds + Y^n_ij dq^i/ds X^j Where ** DX^n/DS = Covariant derivative on X, a vector The idea is to allow the covariant derivative of (X = dq^n/ds) to be null in accordance with the geodesic equations. However, mathematically there exists another operator that can achieve the exact same thing. EX^n/Es = dX^n/ds + Z^n_ij dq^i/ds X^j Where ** EX^n/ES = Another operator on X, a vector Ricci went on to derive (invent) the Riemann tensor which just like the metric is merely a matrix. The derivation takes us through the null geodesic variations. R^n_ikj = @Y^n_ij/@q^k - @Y^n_ik/@q^j + Y^n_kl Y^l_jk - Y^n_jl Y^l_ik Or R^n_ikj = @Y^n_ij/@q^k - @Y^n_ik/@q^j + Y^n_jl Y^l_ik - Y^n_jl Y^l_ik Ricci, however, only discovered the first tensor above while the second one is also very mathematically valid in accordance with the method of null geodesic variations. Ricci's student Levi-Civita then invented the Ricci tensor based on the Riemann tensor derived by Ricci (the first equation above). R_ij = @Y^k_ij/@q^k - @Y^k_ik/@q^j + Y^k_kl Y^l_ij - Y^k_jl Y^l_ik Where ** R_ij = R^k_ikj The Ricci scalar follows as described below. R = g^ij R_ij Where ** g^ij = inverse of the matrix g_ij the metric After the introduction of the Lorentz transformation, the Goettingen group of physicists including Minkowski, Hilbert, Schwarzschild, and Klein extended Riemann's description of curved space into a four- dimensional spacetime. ds^2 = g_ij dq^i dq^j Where ** ds = Invariant geometry in spacetime ** g_ij = Elements of the metric ** dg^i = Observer's choice of coordinate system ** i, j = 0, 1, 2, 3 (1 temporal and 3 spatial dimensions) In 1915, Hilbert finally invented the following Lagrangian which does not even satisfy as a Lagrangian according to the variations of calculus. L = (H R + p c^2) sqrt(-det(g^ij)) Where ** L = Hilbert's Lagragian ** R = Ricci scalar ** p = density of matter ** det() = determinant of the matrix as operand ** H = a constant Hilbert then went on to take the partial derivative of this Lagrangian with respect to each element of the metric represented by g^ij and setting it to zero. @L/@g^ij = H sqrt(-det(g^ij)) @R/@g^ij - H R @det(g^ij)/@g^ij / sqrt(- det(g^ij)) / 2 - p c^2 @det(g^ij)/@g^ij / sqrt(-det(g^ij)) / 2 = 0 Where (mathematical identity) ** @R/@g^ij = R_ij ** @det(g^ij)/@g^ij = g_ij det(g^ij) The result is the set of Einstein field equations. R_ij - R g_ij / 2 = c^2 p g_ij / H / 2 Or G_ij = T_ij Where ** G_ij = R_ij - R g_ij / 2 ** T_ij = c^2 p g_ij / H / 2 Einstein played no role. His rediscovery of the equivalence principle also finds no role in the derivation. The derivation of GR is totally based on mathematical nonsense. Very soon after the introduction of the field equations, Schwarzschild discovered the following static and spherically symmetric solution (metric). ds^2 = c^2 (1 - R / (r^3 + R^3)^(1/3)) dt^2 - r^4 dr^2 / (r^3 + R^3) / ((r^3 + R^3)^(1/3) - R) - (r^3 + R^3)^(2/3) dO^2 Where ** R = G M / c^2 ** dO^2 = cos^2Phi dTheta^2 + dPhi^2 There are actually an infinite number of solutions (metric) to the field equations using the same set of coordinate system. The most popular one was derived by Hilbert in 1916 now called the Schwarzschild metric. ds^2 = c^2 (1 - 2 R / r) dt^2 - dr^2 / (1 - 2 R / r) - r^2 dO^2 Notice Schwarzschild's original solution does not manifest black holes but Schwarzschild metric does. The following solution also as simple as the Schwarzschild metric does not manifest black holes as well. ds^2 = c^2 dt^2 / ( 1 + 2 R / r) - (1 + 2 R / r) dr^2 - (r + R)^2 dO^2 Although not all the static and spherically symmetric solutions degenerate to Newtonian law of gravity, all these three metrics above do. This means the universe must be expanding and finally collapsing back to itself. After observing the universe to be static, Einstein correctly identified the field equations and Newtonian law of gravity as not fit this observation. He cleverly introduced (pull out of his *ss) a negative mass density to counter the attraction of gravity. The reason is very simple. Positive mass manifests attraction in gravity; negative mass manifests repulsion in gravity. In order to hide the embarrassment of introducing negative mass in vacuum, he again cleverly called this quantity as the Cosmological constant. The development of GR at this stage is a total joke, but the nonsense did not end here. Friedman, Lemaitre, Robertson, and Walker discovered a non-static but spherically symmetric solution to the field equations called the Friedman-Lemaitre-Robertson-Walker (FLRW) metric. ds^2 = c^2 dt^2 - a^2 (dr^2 / (1 - r^2 / R^2) + r^2 dO^2) Where ** a = Function of t only ** R = Constant This means two of the field equations are ** (da/dt)^2 / a^2 + c^2 / R^2 / a^2 = 8 pi G p / 3 ** 2 d^2a/dt^2 / a + (da/dt)^2 / a^2 + c^2 / R^2 / a^2 = 8 pi G p We can very easily solve these differential equations. If R^2 = 0, ** a^2 = c^2 cosh^2(w(t+T)) / (w^2 R^2) ** p = 3 w^2 / (4 pi G) If R^2 0, ** a^2 = - c^2 cos^2(w(t+T)) / (w^2 R^2) ** p = - 3 w^2 / (4 pi G) Where ** w, T = Integration constants The density of the universe, p, must always remain constant. This means the universe must be static as observed back then. Even with the introduction of the Cosmological constant, the basic form of the solution above remains the same. The Cosmological becomes totally useless. The introduction of the Cosmological constant is the only blunder in Einstein's contribution in GR. There are two problems with this FLRW metric. ** There is no solution combining the Schwarzschild metric and the FLRW metric. This means the FLRW metric does not satisfy the Newtonian law of gravity. Gravity is not caused by a curvature in spacetime in general but only the gravitational time dilation. ** When Lemaitre first then Hubble discovered the red shift of distant galaxies, there is no remedy for the FLRW metric to satisfy this observation even with the Cosmological constant. There are so many problems with GR right from the start. The most basic is even more embarrassing. Any diligent grade school children can identify the mathematical relationship below. Given that A = B C If (A = constant and B != 0), then (C = A / B). This blunder came as early as during Ricci's time when the Riemann tensor which is merely a matrix was incorrectly identified as a tensor which means invariance to any coordinate transformation. Similarly, the metric is merely a matrix. Ricci deified the metric into a tensor. Mathematically, this can easily be proven wrong. d[s] = [Q] d[q] = [Q'] d[q'] Where ** d[s] = Invariant geometry in displacement vector ** [Q], [Q'] = Matrices ** d[q], dq[q'] = Coordinate systems The above equation squared is ds^2 = [g] * d[q^2] = [g'] * d[q'^2] Where ** [g] = [Q]^Transpose [Q] ** [g'] = [Q']^Transpose [Q'] ** d[q^2] = d[q] d[q]^Transpose ** d[q'^2] = d[q'] d[q']^Transpose ** [A] * [b] = SUM(SUM(A_ij B_ij)), dot product ** ds^2 = Invariant, still The metric [g] and the metric [g'] cannot be the same if the choice of coordinate system [q] is different from [q']. ds^2 = [g] * d[q^2] = g_ij dq^i dq^j = Invariant The geometry, ds^2, must be invariant due to obvious reason. The choice of coordinate system, d[q^2], is observer dependent. This can only mean the metric, [g], must also be observer dependent. The metric, the Riemann, and the Ricci tensors cannot be tensors after all. All solutions to the field equations must be unique and independent of each one where all solutions must reference to the same choice of coordinate system in describing vastly different invariant geometries. What good is the set of field equations that can generate an infinite numbers of solutions to describe infinitely different and independent universes? What good is the set of field equations that can either generate a solution that manifests black holes and also ones that don't? |
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#15
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On Oct 6, 9:16 pm, Dave Cook wrote:
On 2007-10-06, nill wrote: i hear a lot of people around me telling that it wasnt einstein inventing relativity, but some other guys before him Lorentz and Poincare did important work but were never able to make the final leap that Einstein made. Also, I don't believe they had that much influence on Einstein's 1905 paper. exactly what was einsteins contributon to relativity, did he stole his tensors? Einstein's GR depended on mathematics developed by Ricci and Levi-Civita (and many others that preceded them). Dave Cook Exactly. And this has always been the case, e.g. Newton didn't pull calculus out of thin air, Maxwell didn't just write down his four equations, and so on. -- Jan Bielawski |
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Note to "nill": the above technical post is a perfect example of what
I was talking about: mostly nonsense dressed up to look like science. Unfortunately for a person not well-versed into the subject, it is next to impossible to tell nonsense like this from the genuine article. -- Jan Bielawski |
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On Oct 6, 9:50 pm, JanPB wrote:
Exactly. And this has always been the case, e.g. Newton didn't pull calculus out of thin air, Well, Newton and Leibniz independent did just pull calculus out of thin air. Calculus was a quantum jump. shrug Maxwell didn't just write down his four equations, and so on. Maxwell's original works were based on potentials that spread out into several more equations. It was Heaviside who condensed and went beyond Maxwell's works into these four equations known as Maxwell's equations today. |
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#18
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Note to "nill".
Mr. Bielawski is a professional film commentator. He criticizes on films that deem fit in degrees of politically correctness. He is part of the problem that promotes the lies in history. Fortunately to the scholars who seek the truth, no matter how much these guys can foul up historical accounts or mutilate historic documents such as Hilbert's original paper on the derivation of field equations, the forensic evidences still remain in the very mathematics involved. Math can never lie. Although math can be manipulated to fool the ignorance or the ones subjected to tremendous peer pressure, anyone with great regards to the mathematics can easily see through these lies. |
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On Oct 6, 1:21 pm, "Pmb" wrote:
"nill" wrote in message ups.com... i hear a lot of people around me telling that it wasnt einstein inventing relativity, but some other guys before him And yet these other guys can't prove it for themselves? There were at least two other people who were significanlty involved. One was a mathematician named David Hilbert who also worked on General Relativity. In fact he worked with Einstein during November 1915. The final steps to the theory of general relativity were taken by Einstein and Hilbert at almost the same time. They both discovered the same final form of the gravitational field equations within days of each other must indicate that their exchange of ideas was helpful. The other his friend was his friend Marcel Grossman. I'm not sure how much they worked together but I do know that they published a paper together called "Outline of a Generalized Theory of Relativity and of a Theory of Gravitation." The first part was called "Physical Part" and was written by Einstein while the second part was called "Mathematical Part" and was written by Grossman. exactly what was einsteins contributon to relativity, To hard to quantify but he contributed to most of it. Ask an historian that question. .. did he stole his tensors? You can steal a tensor as much as you can steal the number 4. Pete 123 567, something looks missing. From what I've gleened from bio's, AE learned tensors in his 30's, but most guys today started in their teens, that's a big advantage, growing up with them. If I had my way, I'd start tensors in public school, which in a way is done by learning conversion from metric units to imperial units for length, areas, volumes, mass etc. Yea Fahrenheit! Ken |
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#20
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On Oct 7, 6:22 am, Koobee Wublee wrote:
On Oct 6, 4:19 pm, JanPB wrote: On Oct 6, 12:15 pm, nill wrote: i hear a lot of people around me telling that it wasnt einstein inventing relativity, but some other guys before him exactly what was einsteins contributon to relativity, did he stole his tensors? If you are new to this group, you are probably owed an explanation. It so happens that most of the posters to this group are an odd collection of what could be charitably described as "armchair critics". Because of that anyone interested in finding out the truth about relativity must bring with him a Brobdingnagian-size BS filter. [...] You are merely talking about yourself. shrug Talking about history, it was Galileo several hundred years ago who had already discussed the principle of relativity. In 1887, Voigt was the first to suggest constancy in the speed of light as an explanation of the null results of Michelson's 1881 experiment. In doing so, Voigt modified the Galilean transform for the constancy of the speed of light. However, the Voigt transform violates the principle of relativity. In 1887 after studying Voigt's work, Larmor modified the Voigt transform to become the Lorentz transform. SR is just an interpretation to the Lorentz transform in which Einstein reverse-engineered it. By re-discovering the principle of relativity and claiming the constancy in the speed of light, Einstein was able to re-derive the Lorentz transform in the most BS fashion possible. Of course in doing so with any references, Einstein claimed he had derived the Lorentz transform. Yes, only through BS. The road to GR also went through similar dishonesty on Einstein's part. In 1908, Einstein, after finally understood the Newtonian law of gravity, re-discovered the principle of equivalence through once again reverse-engineering. As we all know, it was Galileo who had first described this principle that served as a foundation in the Newton's law of gravity. Even before Einstein, Riemann during the middle of the nineteenth century was already suggesting curvature in space. He even suggested the curvature in space was the cause of gravitation. After Minkowski simplified the Lorentz transform in 1908, the Goettingen group of scientists that included Hilbert, Schwarzschild, Klein, and Minkowski himself were already discussing the curvature in spacetime as an extension of Riemann's curvature in space. These guys just had no clue on how to obtain the metric. In the meantime, Einstein due to his gross incompetence in mathematical skills enlisted Grossmann's help to see if they could expand on the principle of equivalence. As we all know, Newton was only able to come up with the law of gravity after observing how an apple behaved under the influence of gravitation. Einstein tried to re-derive gravitation by picturing himself as that falling apple. So "Hey, look, mom. No hands. Marcel [Grossmann] and I are falling in space and we expect to discover the secret of gravitation." failed miserably. Disgusted with Grossmann, Einstein turned to Goettingen for help. The field equations were only derived after Hilbert pulled out the Lagrangian to the Einstein-Hilbert action. During the fall of 1905, Hilbert and Einstein exchanged several letters. In doing so, Hilbert must have disclosed this Lagrangian to Einstein. Five days after Hilbert presented his field equations, Einstein did the same. So, nill has asked the right questions that are what are exactly Einstein's contributions in the theories of relativity. The answer is none. What do you expect from a nitwit, a plagiarist, and a liar as Einstein himself anyway? shrug good post, thanx i didnt knew he did all those dishonest things |
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