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Eleaticus wrote:
[snip lies] Invariant Galilean Transformations (FAQ) On All Laws (c) Eleaticus/Oren C. Webster [snip 1300 lines of trolled garbage] eleaticus, Oren Webster, is a despised and stooopid troll, http://users.pandora.be/vdmoortel/di...es/Crimes.html "Several crimes against logic and science" Ha ha ha! Originally trolled across sci.physics sci.physics.relativity alt.physics sci.math sci.answers alt.answers news.answers Psychotic ineducable boring troll Eleaticus, Internal inconsistencies in SR (meaning inconsistencies of a purely mathematical logical nature) automatically lead to contradictions in number theory, itself, and arithmetic, since the mathematics of Minkowski geometry is equiconsistent with the theory of real numbers and with arithmetic. You see yourself this way, http://www.mazepath.com/uncleal/effete6.jpg The entire remainder of the planet sees you this way, http://www.mazepath.com/uncleal/effete3.png http://www.albinoblacksheep.com/flash/youare.swf http://www.mazepath.com/uncleal/sunshine.jpg http://www.you-moron.com/ http://www.apa.org/journals/psp/psp7761121.html http://insti.physics.sunysb.edu/~siegel/quack.html http://www.firehead.org/~jessh/film/kubrick/Kubrick-Psycho.html http://www.naturalchild.com/elliott_barker/prisons.html Hey, stooopid troll Eleaticus - Do you want EVIDENCE? Each of the 24 GPS satellites carries either four cesium atomic clocks or three rubidum atomic clocks in orbit, with full relativistic corrections being applied. http://math.ucr.edu/home/baez/RelWWW/tests.html Mathematics of gravitation http://wugrav.wustl.edu/people/CMW/update98.pdf http://www.astro.northwestern.edu/AspenW04/Papers/lorimer1.pdf Equivalence Principle testing http://arXiv.org/abs/hep-th/0111236 Geometric structure of reality http://arXiv.org/abs/hep-th/0307140 GR structure, especially Part 4/p. 7 http://relativity.livingreviews.org/Articles/lrr-2001-4/index.html http://arXiv.org/abs/gr-qc/0311039 http://www.weburbia.demon.co.uk/physics/experiments.html Experimental constraints on General Relativity. http://tycho.usno.navy.mil/ptti/ptti2002/paper20.pdf Nature 425 374 (2003) http://rattler.cameron.edu/EMIS/journals/LRG/Articles/Volume6/2003-1ashby/index.html http://www.eftaylor.com/pub/projecta.pdf http://www.public.asu.edu/~rjjacob/Lecture16.pdf Relativity in the GPS system http://arXiv.org/abs/gr-qc/9909014 Phys. Rev. Lett. 92 (2004) 121101 falling light http://hyperphysics.phy-astr.gsu.edu/hbase/relativ/airtim.html Hafele-Keating Experiment http://www.hawaii.edu/suremath/SRtwinParadox.html http://physics.syr.edu/courses/modules/LIGHTCONE/twins.html Twin Paradox Science 303(5661) 1143;1153 (2004) http://arXiv.org/abs/astro-ph/0401086 http://arxiv.org/abs/astro-ph/0312071 Deeply relativistic neutron star binaries http://arxiv.org/abs/hep-th/0405160 Black hole evaporation http://www.npl.washington.edu/eotwash/pdf/prl83-3585.pdf http://arXiv.org/abs/gr-qc/0301024 Nordtvedt Effect http://arxiv.org/abs/astro-ph/0403292 http://arXiv.org/abs/astro-ph/0310723 WMAP + Sloane Digital Sky Survey http://arxiv.org/abs/hep-ph/0404175 Dark matter candidates http://nedwww.ipac.caltech.edu/level5/March01/Carroll/frames.html Carroll on what it all means. NIM A 355 537 (1995) Physics Letters B 328 103 (1994) Physical Review Letters 64 1697 (1990) Physical Review Letters 39 1051 (1977) Physical Review 135 B1071 (1964) Physics Letters 12 260 (1964) Europhysics Letters 56(2) 170-174 (2001) General Relativity and Gravitation 34(9) 1371 (2002) http://fourmilab.to/etexts/einstein/specrel/specrel.pdf http://www.geocities.com/physics_world/sr/ae_1905_error.htm http://www.physics.gatech.edu/people/faculty/finkelstein/relativity.pdf http://users.powernet.co.uk/bearsoft/Paper6.pdf http://users.powernet.co.uk/bearsoft/LPHrel.html Longitudinal and transverse mass http://www.navcen.uscg.gov/pubs/gps/gpsuser/gpsuser.pdf http://www.navcen.uscg.gov/pubs/gps/sigspec/default.htm http://www.navcen.uscg.gov/pubs/gps/icd200/default.htm http://www.trimble.com/gps/index.html http://sirius.chinalake.navy.mil/satpred/ http://www.phys.lsu.edu/mog/mog9/node9.html http://egtphysics.net/GPS/RelGPS.htm http://www.schriever.af.mil/gps/Current/current.oa1 http://edu-observatory.org/gps/gps_books.html http://www-astronomy.mps.ohio-state.edu/~pogge/Ast162/Unit5/gps.html -- Uncle Al http://www.mazepath.com/uncleal/ (Toxic URL! Unsafe for children and most mammals) http://www.mazepath.com/uncleal/qz.pdf |
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#2
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Uncle Al writes:
Eleaticus wrote: [snip lies] Invariant Galilean Transformations (FAQ) On All Laws (c) Eleaticus/Oren C. Webster [snip 1300 lines of trolled garbage] Eleaticus has explicitly demonstrated what many would have suspected for ages: that he is completely ignorant of multivariable calculus. He has no familiarity with, or concept of, the Chain Rule in multivariable calculus. Take, for example, his much beloved Galilean Transformation: t' = t, x' = x - vt, y' = y, z' = z. His refusal to accept that t' must be introduced as a separate variable presumably springs from an unwillingness to acknowledge that space and time are best described as a four-dimensional manifold, with four coordinates, instead of a time evolution of a three-dimensional manifold, and that the change of coordinate system should be a change of four coordinates, and not a time-dependent change of three coordinates. This is particularly vital when it comes to fields over space and time (electric and magnetic fields for example). The transformation law for the differential operators under the Galilean transformation is given by: d/dt' = d/dt + v d/dx, d/dx' = d/dx, d/dy' = d/dy, d/dz' = d/dz. This fact alone shows the necessity of introducing a new variable t', since partial differentiation with respect to t' (constant x', y', z') is a different operation to partial differentiation with respect to t (constant x, y, z). The above transformation law is determined by the Chain Rule: d/dt' = dt/dt' d/dt + dx/dt' d/dx + dy/dt' d/dy + dz/dt' d/dz, d/dx' = dt/dx' d/dt + dx/dx' d/dx + dy/dx' d/dy + dz/dx' d/dz, d/dy' = dt/dy' d/dt + dx/dy' d/dx + dy/dy' d/dy + dz/dy' d/dz, d/dz' = dt/dz' d/dt + dx/dz' d/dx + dy/dz' d/dy + dz/dz' d/dz. The presence of the term involving d/dx in the expression for d/dt' is indicative of the fact that x depends on t' (x', y', z', being held constant), as can be seen from the fact that the coefficient of d/dx in the expression for d/dt' is dx/dt'. Because of the now demonstrated fact that Eleaticus has no formal education in multivariable calculus, he has managed, somehow, to get it into his head that the presence of the term involving d/dx in the expression for d/dt' is indicative of t' depending on x (t, y, z, being held constant). Because of his erroneous idea Eleaticus cannot get the correct transformation law for the differential operators under the Galilean Transformation, and he cannot determine the invariance or otherwise of Maxwell's Equations under the Galilean Transformation. The first advice to Eleaticus is to learn multivariable calculus. Eleaticus should not pretend that he can understand how to determine invariance or otherwise of Maxwell's Equations under the Galilean Transformation, or under the Lorentz Transformation, until he has made sure that he does understand the multivariable calculus which underlies such considerations. He has yet to prove that he has attained the proficiency in multivariable calculus which would allow him to make such determinations. The homogeneous Maxwell equations are invariant under the Galilean Transformation, with transformation laws: E_x' = E_x, E_y' = E_y - v B_z, E_z' = E_z + v B_y, B_x' = B_x, B_y' = B_y, B_z' = B_z. The derivation of these transformation laws was determined using the transformation laws for the differential operators that I gave above. These transformation laws have the additional advantage that they determine the correct transformation for the force law, thus providing further evidence in favour of the transformation law for the differential operators, as I gave above. The inhomogeneous Maxwell equations are also invariant under the Galilean transformation, with transformation laws: E_x' = E_x, E_y' = E_y, E_z' = E_z, B_x' = B_x, B_y' = B_y + v/c^2 E_z, B_z' = B_z - v/c^2 E_y, \rho' = \rho, J_x' = J_x - v \rho, J_y' = J_y, J_z' = J_z. Note the the transformation laws for the charge density and current density are as they should be under the Galilean transformation. So we now have that the homogeneous equations are invariant under the Galilean Transformation, and the inhomogeneous equations are invariant under the Galilean Transformation, but Maxwell's Equations as a whole are NOT invariant under the Galilean Transformation, since the transformation laws required for the EM field for the two cases are inconsistent with each other. The transformation law for the EM field which makes the homogeneous equations invariant will not also make the inhomogeneous equations invariant. The transformation law for the EM field which makes the inhomogeneous equations invariant will not also make the homogeneous equations invariant. On the other hand, all of Maxwell's equations are invariant under the Lorentz Transformation, with transformation laws: E_x' = E_x, E_y' = \gamma (E_y - v B_z), E_z' = \gamma (E_z + v B_y), B_x' = B_x, B_y' = \gamma (B_y + v/c^2 E_z), B_z' = \gamma (B_z - v/c^2 E_y), \rho' = \gamma (\rho - v/c^2 J_x), J_x' = \gamma (J_x - v \rho), J_y' = J_y, J_z' = J_z, where \gamma = 1/sqrt(1 - v^2/c^2). David ----- |
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#3
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David McAnally wrote:
Uncle Al writes: Eleaticus wrote: [snip lies] Invariant Galilean Transformations (FAQ) On All Laws (c) Eleaticus/Oren C. Webster [snip 1300 lines of trolled garbage] Eleaticus has explicitly demonstrated what many would have suspected for ages: that he is completely ignorant of multivariable calculus. He has no familiarity with, or concept of, the Chain Rule in multivariable calculus. Take, for example, his much beloved Galilean Transformation: t' = t, x' = x - vt, y' = y, z' = z. His refusal to accept that t' must be introduced as a separate variable presumably springs from an unwillingness to acknowledge that space and time are best described as a four-dimensional manifold, with four coordinates, instead of a time evolution of a three-dimensional manifold, and that the change of coordinate system should be a change of four coordinates, and not a time-dependent change of three coordinates. This is particularly vital when it comes to fields over space and time (electric and magnetic fields for example). [snip erudition] With your permission, I will also ram your exposition down his stooopid face every time he trolls his crap. -- Uncle Al http://www.mazepath.com/uncleal/ (Toxic URL! Unsafe for children and most mammals) http://www.mazepath.com/uncleal/qz.pdf |
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#4
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"David McAnally" wrote in message ... His refusal to accept that t' must be introduced as a separate variable presumably springs from an unwillingness to acknowledge that space and time are best described as a four-dimensional manifold, with four coordinates, instead of a time evolution of a three-dimensional manifold, and that the change of coordinate system should be a change of four coordinates, and not a time-dependent change of three coordinates. This is particularly vital when it comes to fields over space and time (electric and magnetic fields for example). The subject in discussion is NOT the SR transforms, but Newtonian, with NO asshole time transform. You are like a simpleton (what a surprize) who insists on imposing the rules of pinochle on bridge. Base you analysis of the play of a hand on the rules of the game being played. The transformation law for the differential operators under the Galilean transformation is given by: d/dt' = d/dt + v d/dx, d/dx' = d/dx, d/dy' = d/dy, d/dz' = d/dz. This fact alone shows the necessity of introducing a new variable t', since partial differentiation with respect to t' (constant x', y', z') is a different operation to partial differentiation with respect to t (constant x, y, z). The above transformation law is determined by the Chain Rule: Actually, that shows why you impose the fraudulant (en re Newton) time transform. If you had even the tiniest trace of honesty (rather than True Believer sincerity) I's ask: do the work without imposing the idiot time transform. d/dt' = dt/dt' d/dt + dx/dt' d/dx + dy/dt' d/dy + dz/dt' d/dz, d/dx' = dt/dx' d/dt + dx/dx' d/dx + dy/dx' d/dy + dz/dx' d/dz, d/dy' = dt/dy' d/dt + dx/dy' d/dx + dy/dy' d/dy + dz/dy' d/dz, d/dz' = dt/dz' d/dt + dx/dz' d/dx + dy/dz' d/dy + dz/dz' d/dz. The presence of the term involving d/dx in the expression for d/dt' is indicative of the fact that x depends on t' (x', y', z', being held constant), as can be seen from the fact that the coefficient of d/dx in the expression for d/dt' is dx/dt'. Because of the now demonstrated fact that Eleaticus has no formal education in multivariable calculus, he has managed, somehow, to get it into his head that the presence of the term involving d/dx in the expression for d/dt' is indicative of t' depending on x (t, y, z, being held constant). Because of his erroneous idea Eleaticus cannot get the correct transformation law for the differential operators under the Galilean Transformation, and he cannot determine the invariance or otherwise of Maxwell's Equations under the Galilean Transformation. The first advice to Eleaticus is to learn multivariable calculus. Eleaticus should not pretend that he can understand how to determine invariance or otherwise of Maxwell's Equations under the Galilean Transformation, or under the Lorentz Transformation, until he has made sure that he does understand the multivariable calculus which underlies such considerations. He has yet to prove that he has attained the proficiency in multivariable calculus which would allow him to make such determinations. The homogeneous Maxwell equations are invariant under the Galilean Transformation, with transformation laws: E_x' = E_x, E_y' = E_y - v B_z, E_z' = E_z + v B_y, B_x' = B_x, B_y' = B_y, B_z' = B_z. The derivation of these transformation laws was determined using the transformation laws for the differential operators that I gave above. These transformation laws have the additional advantage that they determine the correct transformation for the force law, thus providing further evidence in favour of the transformation law for the differential operators, as I gave above. The inhomogeneous Maxwell equations are also invariant under the Galilean transformation, with transformation laws: E_x' = E_x, E_y' = E_y, E_z' = E_z, B_x' = B_x, B_y' = B_y + v/c^2 E_z, B_z' = B_z - v/c^2 E_y, \rho' = \rho, J_x' = J_x - v \rho, J_y' = J_y, J_z' = J_z. Note the the transformation laws for the charge density and current density are as they should be under the Galilean transformation. So we now have that the homogeneous equations are invariant under the Galilean Transformation, and the inhomogeneous equations are invariant under the Galilean Transformation, but Maxwell's Equations as a whole are NOT invariant under the Galilean Transformation, since the transformation laws required for the EM field for the two cases are inconsistent with each other. The transformation law for the EM field which makes the homogeneous equations invariant will not also make the inhomogeneous equations invariant. The transformation law for the EM field which makes the inhomogeneous equations invariant will not also make the homogeneous equations invariant. On the other hand, all of Maxwell's equations are invariant under the Lorentz Transformation, with transformation laws: E_x' = E_x, E_y' = \gamma (E_y - v B_z), E_z' = \gamma (E_z + v B_y), B_x' = B_x, B_y' = \gamma (B_y + v/c^2 E_z), B_z' = \gamma (B_z - v/c^2 E_y), \rho' = \gamma (\rho - v/c^2 J_x), J_x' = \gamma (J_x - v \rho), J_y' = J_y, J_z' = J_z, where \gamma = 1/sqrt(1 - v^2/c^2). David ----- |
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#5
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"Uncle Al" wrote in message ... His refusal to accept that t' must be introduced as a separate variable presumably springs from an unwillingness to acknowledge that space and time are best described as a four-dimensional manifold, with four coordinates, instead of a time evolution of a three-dimensional manifold, and that the change of coordinate system should be a change of four coordinates, and not a time-dependent change of three coordinates. This is particularly vital when it comes to fields over space and time (electric and magnetic fields for example). [snip erudition] With your permission, I will also ram your exposition down his stooopid face every time he trolls his crap. He starts off with the refusal to play by the Newtonian rules, which are that there is absolute time, not a time transform, and you prove yourself an absolute - not just relative - asshole by 'ramming' his intellectually indefensible crap up my asshole? There is certainly no room up yours what with your penis-shaped head up there! eleaticus |
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#6
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"David McAnally" wrote in message ... Eleaticus has explicitly demonstrated what many would have suspected for ages: that he is completely ignorant of multivariable calculus. He has no familiarity with, or concept of, the Chain Rule in multivariable calculus. Take, for example, his much beloved Galilean Transformation: t' = t, Mind if I call you Golem? (sp? From Lord of the Rings). You have become increasingly corrupt. t=t. There is NO time transform in my 'beloved' transforms, as you admit below. It is YOU and other captains of corruption that insist on treating Newton as if he believed time was not absolute. x' = x - vt, y' = y, z' = z. His refusal to accept that t' must be introduced as a separate variable presumably springs from an unwillingness to acknowledge that space and time are best described as a four-dimensional manifold, with four coordinates, instead of a time evolution of a three-dimensional manifold, and that the change of coordinate system should be a change of four coordinates, and not a time-dependent change of three coordinates. This is particularly vital when it comes to fields over space and time (electric and magnetic fields for example). In conducting Newtonian-theoretical discussion/analyis, you do Newtonian things. eleaticus |
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#7
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eleaticus wrote: "David McAnally" wrote in message ... Eleaticus has explicitly demonstrated what many would have suspected for ages: that he is completely ignorant of multivariable calculus. He has no familiarity with, or concept of, the Chain Rule in multivariable calculus. Take, for example, his much beloved Galilean Transformation: t' = t, Mind if I call you Golem? (sp? From Lord of the Rings). You have become increasingly corrupt. t=t. Do you have the slightest concept of a co-ordinate transformation? You have one frame of reference in which the co-ordinates are written unprimed and another frame of reference in which the co-ordinates are written with primes. What makes the galilean transform what it is, is the assumption that time is the same in every inertial frame of reference and that velocities add. Bob Kolker |
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#8
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"David McAnally" wrote in message ... His refusal to accept that t' must be introduced as a separate variable presumably springs from an unwillingness to acknowledge that space and time are best described as a four-dimensional manifold, with four coordinates, instead of a time evolution of a three-dimensional manifold, and that the change of coordinate system should be a change of four coordinates, and not a time-dependent change of three coordinates. This is particularly vital when it comes to fields over space and time (electric and magnetic fields for example). Go against your corrupt form and treat the Newtonian-theoretical transforms honestly and THEN make consequential claims against them. There is only one purpose in treating Newtonian basics dishonestly, and that is to apply the dishonest results as arguments about subsequent issues. Treat Newtonian-theoretical transforms in Newtonian fashion, that is without the three corrupt, strawman mal-feasant impositions of anti-Newton material on Newton. Do it, you corrupt analoid. You True Believer cretins can continue to assert untruths about me because you won't deal honestly with the basics. eleaticus The transformation law for the differential operators under the Galilean transformation is given by: d/dt' = d/dt + v d/dx, d/dx' = d/dx, d/dy' = d/dy, d/dz' = d/dz. This fact alone shows the necessity of introducing a new variable t', since partial differentiation with respect to t' (constant x', y', z') is a different operation to partial differentiation with respect to t (constant x, y, z). The above transformation law is determined by the Chain Rule: d/dt' = dt/dt' d/dt + dx/dt' d/dx + dy/dt' d/dy + dz/dt' d/dz, d/dx' = dt/dx' d/dt + dx/dx' d/dx + dy/dx' d/dy + dz/dx' d/dz, d/dy' = dt/dy' d/dt + dx/dy' d/dx + dy/dy' d/dy + dz/dy' d/dz, d/dz' = dt/dz' d/dt + dx/dz' d/dx + dy/dz' d/dy + dz/dz' d/dz. The presence of the term involving d/dx in the expression for d/dt' is indicative of the fact that x depends on t' (x', y', z', being held constant), as can be seen from the fact that the coefficient of d/dx in the expression for d/dt' is dx/dt'. Because of the now demonstrated fact that Eleaticus has no formal education in multivariable calculus, he has managed, somehow, to get it into his head that the presence of the term involving d/dx in the expression for d/dt' is indicative of t' depending on x (t, y, z, being held constant). Because of his erroneous idea Eleaticus cannot get the correct transformation law for the differential operators under the Galilean Transformation, and he cannot determine the invariance or otherwise of Maxwell's Equations under the Galilean Transformation. The first advice to Eleaticus is to learn multivariable calculus. Eleaticus should not pretend that he can understand how to determine invariance or otherwise of Maxwell's Equations under the Galilean Transformation, or under the Lorentz Transformation, until he has made sure that he does understand the multivariable calculus which underlies such considerations. He has yet to prove that he has attained the proficiency in multivariable calculus which would allow him to make such determinations. The homogeneous Maxwell equations are invariant under the Galilean Transformation, with transformation laws: E_x' = E_x, E_y' = E_y - v B_z, E_z' = E_z + v B_y, B_x' = B_x, B_y' = B_y, B_z' = B_z. The derivation of these transformation laws was determined using the transformation laws for the differential operators that I gave above. These transformation laws have the additional advantage that they determine the correct transformation for the force law, thus providing further evidence in favour of the transformation law for the differential operators, as I gave above. The inhomogeneous Maxwell equations are also invariant under the Galilean transformation, with transformation laws: E_x' = E_x, E_y' = E_y, E_z' = E_z, B_x' = B_x, B_y' = B_y + v/c^2 E_z, B_z' = B_z - v/c^2 E_y, \rho' = \rho, J_x' = J_x - v \rho, J_y' = J_y, J_z' = J_z. Note the the transformation laws for the charge density and current density are as they should be under the Galilean transformation. So we now have that the homogeneous equations are invariant under the Galilean Transformation, and the inhomogeneous equations are invariant under the Galilean Transformation, but Maxwell's Equations as a whole are NOT invariant under the Galilean Transformation, since the transformation laws required for the EM field for the two cases are inconsistent with each other. The transformation law for the EM field which makes the homogeneous equations invariant will not also make the inhomogeneous equations invariant. The transformation law for the EM field which makes the inhomogeneous equations invariant will not also make the homogeneous equations invariant. On the other hand, all of Maxwell's equations are invariant under the Lorentz Transformation, with transformation laws: E_x' = E_x, E_y' = \gamma (E_y - v B_z), E_z' = \gamma (E_z + v B_y), B_x' = B_x, B_y' = \gamma (B_y + v/c^2 E_z), B_z' = \gamma (B_z - v/c^2 E_y), \rho' = \gamma (\rho - v/c^2 J_x), J_x' = \gamma (J_x - v \rho), J_y' = J_y, J_z' = J_z, where \gamma = 1/sqrt(1 - v^2/c^2). David ----- |
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#9
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"David McAnally" wrote in message ... The transformation law for the differential operators under the Galilean transformation is given by: d/dt' = d/dt + v d/dx, d/dx' = d/dx, d/dy' = d/dy, d/dz' = d/dz. This fact alone shows the necessity of introducing a new variable t', since partial differentiation with respect to t' (constant x', y', z') is a different operation to partial differentiation with respect to t (constant x, y, z). The above transformation law is determined by the Chain Rule: That is circular 'reasoning'. You impose the anti-theoretical (Newtonian, rememer) time transform and say the result shows you must have the anti-theoretical time transformed 'variable'. eleaticus |
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#10
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"David McAnally" wrote in message ... The transformation law for the differential operators under the Galilean transformation is given by: d/dt' = d/dt + v d/dx, No, d/dt = d/dt. Show us the results when you do not impose the anti-theoretical (Newtonwise, which is what is under discussion) time transform. t=t. Come on, McAnal(ly). Surely YOU can do it. It is remarkably corrupt for you to continue taking supposed consequences of honest treatment as reason to not apply honest treatment. eleaticus |
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