Re: Does propagation delay give rise to time dialation?
- From: "Sue..." <suzysewnshow@xxxxxxxxxxxx>
- Date: Thu, 15 Nov 2007 22:11:05 -0800 (PST)
On Nov 15, 11:12 pm, blackhead <larryhar...@xxxxxxxxxxxx> wrote:
This is from a paper:
Title: Retarded electric and magnetic fields of a moving charge:
Feynman's derivation of Liénard-Wiechert potentials revisited
Authors: J. H. Field
http://arxiv.org/PS_cache/arxiv/pdf/0704/0704.1574v1.pdf
In section 3 he goes through Feynman's derivation of the Lienard-
Wiechert potentials for a moving charge, which was published in The
Feynman Lectures in Physics, Electromagnetism I' Ch 21-5. Basically,
he considers a spherical light front collapsing with velocity c
towards the field point, sampling the charge along the way which will
contribute to the total potential there.
Hence he ends up with an equation for the magnetic vector potential at
the field point:
A = uQ/cr' 3.2
Where A - magnetic vector potential, u - velocity, c - speed of light,
r' distance to the charge when the light front was sampling it.
Right after equation 3.2 he then says: "Allowing for the propagation
time delay of the
light front with respect to the time of the field point (3.2) agrees
with Eqn(2.16)"
Equations 3.2 and 2.16 differ by a factor of lambda = 1/sqrt(1 - (u/
c)^2).
So does this have something to do with time dialation?
No... the term *time dilation* has several interpretations in
relativity theories but the ambiguity is eliminated in QED
by attaching a clock to a photon which explores all paths
in the Coulomb gauge. The statistics of
atomic absorbtion resolves the retarded components directly
at the level of fundamental particles.
http://en.wikipedia.org/wiki/Wick_rotation
http://en.wikipedia.org/wiki/Path_integral_formulation
http://en.wikipedia.org/wiki/Gauge_fixing
"From Lorenz to Coulomb and other
explicit gauge transformations"
http://arxiv.org/abs/physics/0204034
Sue...
Thanks for your input.
.
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