Re: Understanding the Lorentz transformations


xray4abc wrote:
> Hi , everybody in this group
> Let's consider light propagation along the x-axis
> to left and to right from a given point in 2 relatively moving IRS.
> At any time ,in any of the considered IRS, light travels
> equal distances to left and to right.
> Now, in the 2 IRS the law of light propagation is x=ct and
> x'=ct' respectively.
> The relation between x and x' is given by the Lorentz transformation.
> Now, my question is :Does the Lorentz transformation give the
> equal left and right distances as it should?
No...
Minkowski space-time is anisotropic.
<< Thus, space-time has a non-isotropic nature which is
quite unlike Euclidian space with its positive definite metric.>>
http://farside.ph.utexas.edu/teaching/jk1/lectures/node13.html

> It seems to me ,at first sight, that it does not.
> Am I wrong?
You are correct.
>

> All the bests for you guys in the coming year !
> Happy New Year!
>
> LL

http://farside.ph.utexas.edu/teaching/jk1/lectures/node13.html
http://arxiv.org/abs/physics/0204034
http://web.mit.edu/8.02t/www/802TEAL3D/teal_tour.htm

<<
Time-independent Maxwell equations
Introduction
Coulomb's law
The electric scalar potential
Gauss' law
Poisson's equation
Ampère's experiments
The Lorentz force
Ampère's law
Magnetic monopoles?
Ampère's circuital law
Helmholtz's theorem
The magnetic vector potential
The Biot-Savart law
Electrostatics and magnetostatics


Time-dependent Maxwell's equations
Introduction
Faraday's law
Electric scalar potential?
Gauge transformations
The displacement current
Potential formulation
Electromagnetic waves
Green's functions
Retarded potentials
Advanced potentials?
Retarded fields
Summary >>
http://farside.ph.utexas.edu/teaching/em/lectures/lectures.html

Sue...

.

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