On 10/7/12 10/7/12 - 8:36 PM, xxein wrote:
> An emitter and a receiver in the same FOR maintaining some intrinsic
> proper length between them will always cause the same measurement of
> light's frequency and wavelength, right?
Hmmmm. In what appears to be an overblown attempt to be precise, you have
introduced inconsistencies in your description. In particular, to what is this
length "intrinsic"? -- Certainly not either the emitter or the receiver.
But yes, a receiver at rest in the same INERTIAL FOR as the emitter will always
measure the same frequency and wavelength as the emitter.
> We can't identify an
> absolute rest frame, right?
Right. Nobody has ever done so, experimentally. Some people do so in
non-scientific situations such as dreams and hallucinations, but that's irrelevant.
> So how would that measurement change if
> it were an absolute rest frame?
This depends on how the "absolute rest frame" is identified, what effects it
has, and how one models those effects. As physics currently has no such theory
or model, it is not possible to answer such a question.
> If it doesn't change then you would
> be measuring an intrinsic property of light in the same way a proper
> length is intrinsic.
Answer my question above, and you'll see you are using the word "intrinsic"
improperly.
In any case, this would be a property of the EMITTER, not the light.
When a given emitter emits a light ray, the phase of the light ray is a function
on the manifold. IOW: the events of spacetime where each wavecrest occurs are
determined by properties of the emitter. But the spatial distance between any
pair of events is NOT an intrinsic property of the pair, it can only be measured
by projecting the events onto some length-measuring instrument; the result is
determined by both the events involved AND the instrument used (in particular,
its motion through the manifold). Ditto for the temporal interval between the
pair of events.
This is a key concept of physics, common to both relativity
and QM: a measurement consists of projecting some physical
quantity onto a measuring instrument. This is so for all
quantities of interest, such as length, duration, voltage,
current, etc.
Tom Roberts