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   sci.physics.research      Current physics research. (Moderated)      17,516 messages   

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   Message 15,585 of 17,516   
   Roland Franzius to All   
   Re: How to measure a Lorentz contraction   
   05 Mar 17 02:55:53   
   
   From: roland.franzius@uos.de   
      
   Am 03.03.2017 um 10:04 schrieb John Heath:   
   > I like it. Simple and do-able. Should   
   > be able to swing a 3 foot wire at 3 or   
   > 4 Hz by hand with the hand end of the   
   > wire clamped to a scope. I have spectrum   
   > lab audio analyzer software on a lap top   
   > for VLF whistlers , moving sky charges.   
   > With this most of what is needed is already   
   > in place. As you have already done this I   
   > can proceed with confidence. One concern.   
   > Standing in the middle of no where spinning   
   > a 3 foot wire while looking at a lap top could   
   > draw unwanted attention. I am tested for   
   > a better WIFI connection officer , that's   
   > my story and I am sticking to it.   
   >   
   > As to your dislike of the Lorentz contraction   
   > interpretation of magnetism you are not alone.   
   > I can say from my shoes it grows on you   
   > over time. How often is there an opportunity   
   > to toss a fundamental force in nature such   
   > as magnetism straight into the trash bin?   
   > One less to worry about.   
   >   
      
      
   Don't, because there are genuine electric and magnetic fields.   
      
   The two quadratic forms E^2-B^2 and E.B are invariant with respect to   
   Lorenz transformations. E.B=0 and |E|=|B| is mainly radiation.   
      
   So there are static fields with |E|>|B| which are predominantly electric   
   fields because you can find a system of reference with B'=0 and E' =   
   E/sqrt(1-(v/c)^2).   
   This system can be thought to be the rest system where you see charges   
   at rest producing their common Coulomb field.   
      
   And there are predominantly magnetic fields |B|>|E| where you can find a   
   system reference with E'= 0 and B' = B/sqrt(1-(v/c)^2)   
      
   Taken cum grano salis of course, because E,B are components of a rank 2   
   tensor field, transforming with the product of two Lorentz tranformation   
   matrices.   
      
   An example of pure magnetic field with E=0 everywhere is the cylindrical=   
      
   magnetic field B_phi =1/r around a finite conducting wire with with two   
   equal constant currents: one of the negative charges to the left and   
   positive charges to the right of identical current and charge density.   
      
   So as an experiment, move at constant speed with your synchronized   
   clocks/meterstick/ampere-meter/volt-meter equipment along a wire with   
   the half velocity v/2 of the electron current.   
      
   Now you have two equal currents of negative electrons and positive ions   
   with equal but opposite velocities +-v/2.   
      
   The wire is assumed somehow to be electrical neutral in the rest system   
   of the ions.   
      
   Of course, there will be a small longitudinal electrical field E_z to   
   drive the electric current against the resistivity and to supply by ExB   
   the dissipation energy current density from the field outside into the   
   wire.   
      
   E_z and dissipation can be made very small or even zero for a   
   superconductor. So we can neglect the dissipation problem in a first   
   approximation.   
      
   Now you have by the Lorenz formula   
      
     B'_phi = B_phi /Sqrt(1-(v/2c)^2)   
      
   and   
      
   E'_r = v/(2c) x B_phi / Sqrt(1-(v/2c)^2)   
      
   which means that in this system the current is larger and the wire is   
   not neutral but - as an ideal conductor - carries some surface charge   
   density  D_r that, by definition, is the value of D_r at the surface.   
      
   How does this happen?   
      
   Lorentz contraction contracts the longitudinal measured distance of the   
   ions from rest at v=0 to v/2 using the simultaneity of the moving   
   clocks.  By the same argument the distance of electrons is enlarged   
   because their velocity is reduced from v to v/2. So the net charge   
   density varies linearly with v.   
      
   This fundamental effect arises at velocities as small as the current   
   velocity of electrons of order 10^-11 lightseconds/second for a current   
   of 1 A at a density of some 10^27 m^-3.   
      
   The gigantic particle density of charges moving freely in metallic   
   conductors makes these macroscopic effects easily detectable and   
   measureable with high precision. This simple fact enabled Gau=DF, Faraday   
   Maxwell and Einstein to find the laws of electrodynamics.   
   These laws, applied by the gauge of the 4-momentum, imply Lorentz   
   invariance of all physical laws.   
      
   --   
      
   Roland Franzius   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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