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Eleaticus wrote:
[snip lies] (SR) Lorentz t', x' = Intervals (c) Eleaticus/Oren C. Webster [snip 700 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, Were there to be internal inconsistencies in SR (meaning inconsistencies of a purely mathematical logical nature) that would 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. Eleaticus explicitly demonstrates that he is completely ignorant of multivariable calculus. He has no concept of the Chain Rule in multivariable calculus. Consider his Galilean Transformation goo and dribble: t' = t, x' = x - vt, y' = y, z' = z. His refusal to accept that t' must be introduced as a separate variable springs from a massive emprical stupidity re space and time are 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 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 stupidty 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 understands the multivariable calculus which underlies such considerations. Eleaticus is a loud idiot. 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 given 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 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. Homogeneous equations are invariant under the Galilean Transformation, and 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). Idiot Oren Webster sees himself this way, http://www.mazepath.com/uncleal/effete6.jpg The entire remainder of the planet sees him 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.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. 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. http://optoelectronics.perkinelmer.com/content/Datasheets/rfs2f.pdf 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/gr-qc/0103044 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://www.eftaylor.com/pub/projecta.pdf http://www.public.asu.edu/~rjjacob/Lecture16.pdf http://relativity.livingreviews.org/Articles/lrr-2003-1/index.html Relativity in the GPS system http://arXiv.org/abs/gr-qc/9909014 Amer. J. Phys. 71 770 (2003) Phys. Rev. Lett. 92 121101 (2004) falling light http://hyperphysics.phy-astr.gsu.edu/hbase/relativ/airtim.html http://metrologyforum.tm.agilent.com/pdf/flying_clock_math.pdf http://metrologyforum.tm.agilent.com/cesium.shtml http://arxiv.org/abs/physics/0008012 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 http://relativity.livingreviews.org/Articles/lrr-2003-5/index.html http://skyandtelescope.com/news/article_1473_1.asp Deeply relativistic neutron star binaries http://arxiv.org/abs/hep-th/0405160 Black hole evaporation Physics Today 57(7) 40 (2004) http://physicstoday.org/vol-57/iss-7/p40.shtml No aether http://fsweb.berry.edu/academic/mans/clane/ http://physicsweb.org/articles/world/17/3/7 No Lorentz violation http://arXiv.org/abs/gr-qc/0409089 Spin-2 gravitons have problems http://groups-beta.google.com/group/sci.physics.strings/msg/ba31a00f5f26277a (so does the proposal) http://arXiv.org/abs/gr-qc/0411113 http://www.npl.washington.edu/eotwash/pdf/prl83-3585.pdf http://arXiv.org/abs/gr-qc/0301024 Phys. Rev. Lett. 93 261101 (2004) Nordtvedt Effect http://map.gsfc.nasa.gov/ 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. Special Relativity is physics on a topologically trivial Lorentzian manifold with a metric whose curvature tensor is zero. This is a perfectly diffeomorphism-invariant condition and does not require any particular coordinate choice. It is invariant under the full group of diffeomorphisms. The Poincare group is the group of *isometries* of the metric in special relativity. The Special Relativity metric is *non-dynamical* (unlike GR). It defines the coupling *constants* of your theory. If you change the metric in any nontrivial way you are changing your theory. An operation can only be called a "symmetry" of a special-relativistic (non-gravitational) theory if it preserves the metric, and therefore the symmetry of special-relativistic theories is the Poincare group only. General Relativity (gravitation) has a dynamic metric. 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 Longitudinal and transverse mass Physics Today 58(3) 34 (2005) Time passage, equator vs. poles http://arxiv.org/abs/gr-qc/0306076.pdf http://www.metaresearch.org/solar%20system/gps/absolute-gps-1meter-3.ASP 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 If anyone provides a significant rebuttal that cannot be objectively answered, the material at the Website will be withdrawn. Right, like your head has ever been withdrawn from your ass - even when you ****. -- 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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