The Lorentz transformation, Minkowski space.
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From: socratus on 29 Jan 2010 03:11 The Lorentz transformation, Minkowski space. ===========. The Galilean transformation belongs to each inertial frame. The Galilean transformation fails to preserve Maxwell's equations. Why the Galilean transformation useless in the Maxwell's equations? Because Maxwell's equations ( Lorentz transformations) dont belong to inertial frames. Because Maxwell's equations ( Lorentz transformations) belong to another reference frame. Which? What are Lorentz transformations? Of course, now everybody thinks that difference between these two math equations (conceptions) lies only in speeds distinction. Such understanding leads to all kinds of confusions. # What is Lorentz transformation? The Lorentz transformation describes transformation of all particles physical parameters in the time of transition from one inertial frame to some kind of another reference frame. Is this another reference frame inertial? No. Why? In 1905 Poincare wrote that the Lorentz transformation creates math group, which conforms of arise turning- point in the space, which we call now 4D Minkowski space. Again. The Lorentz transformation describes the event in Minkowski space. This math group describes rotation ( something that has three dimensions parameters) in the 4D Minkowski space. The Lorentz transformation describes only the transformations ( rotation) of particle in the 4D Minkowski space. # Many physicists, including George FitzGerald, Joseph Larmor, Hendrik Lorentz and Woldemar Voigt, had been discussing the physics behind these equations since 1887. Larmor and Lorentz, who believed the luminiferous ether hypothesis, were seeking the transformation under which Maxwell's equations were invariant when transformed from the ether to a moving frame. http://en.wikipedia.org/wiki/Lorentz_transformation # In this rotation Maxwell's equations ( Lorentz transformations) change the homogenous and isotropic structure of Aether. Maxwell's equations ( Lorentz transformations) create new spherical reference frame. # Early in 1889, Oliver Heaviside had shown from Maxwell's equations that the electric field surrounding a spherical distribution of charge should cease to have spherical symmetry once the charge is in motion relative to the ether. http://en.wikipedia.org/wiki/Lorentz_transformation # Of course, only I as a layman, can think that Lorentz transformation which creates math group in 4D Minkowski space describes the behavior of real particle- photon/ electron. In the books is written that this is only math trick, which philosophically absurd and doesnt have any real physical sense. # Now consider that Minkowski space is a good description in an infinitesimally small region surrounding any point ( barring gravitational singularities). The structure of Minkowski space doesnt have gravity. http://en.wikipedia.org/wiki/Minkowski_space # In my opinion the Universe ( as a whole) doesnt have gravity. The detected material mass of the matter in the Universe is so small (the average density of all substance in the Universe is approximately p=10^-30 g/sm^3) that it cannot close the Universe into sphere and therefore our Universe as whole is open, flat , endless Vacuum. Therefore the 4D Minkowski metric is applied to the Universe as a whole. And the General Relativity only applies in a local flat 4D Minkowski space. =========. Best wishes. Israel Sadovnik Socratus ===============.
From: Tom Roberts on 29 Jan 2010 19:35
socratus wrote: > The Galilean transformation belongs to each inertial frame. No. Not even close. A given Galilean transform relates the inertial coordinates of one frame to those of another frame -- it inherently relates TWO frames and cannot "belong" to either. > The Galilean transformation fails to preserve Maxwell's equations. > Why the Galilean transformation useless in the Maxwell's equations? Because Galilean transforms are not very good models of the world we inhabit. Maxwell's equations (plus related equations and definitions) are a pretty good model of electromagnetic phenomena in the classical domain. > [... lots of similar nonsense] You are VERY confused about what these words and concepts mean. You need to LEARN something about the subject before attempting to write about it. Tom Roberts |