GHWells noted:
>If you are "unable to see how it can be c in any inertial frame", then it should be easy >for you to falsify the definition, shouldn't it?
>If light propagated at c only in a single absolute ether rest state, and if the Principle of >Relativity were not true, then it would be very easy to falsify Einstein's second >postulate, wouldn't it?
You cannot falsify a definition because it is a given (given by man, not nature). All two-clock measurements in relativity are given by definition (the synchronization definition), including light's one-way speed and the transformation equations. As long as we are given Einstein's clocks, we are stuck with his "c invariance."
Also note that the principle of relativity does not call for c invariance, but only for the same laws. It does not say that frames are indistinguishable, but that their laws are indistinguishable. For example, if the one-way, two-clock light speed law is c ± v (as in Einstein's own example ref'd above), then all frames share the same law, but they are distinguishable (and can detect their absolute motion).
But not only is c invariance "given" by definition, it cannot happen even on paper as far as I can see as long as two mutually-at-rest clocks are used. (No transported or rotated clocks allowed because they run slow.)
For Wells: Wheeler's stuff came from Wheeler & Taylor's book
_Spacetime Physics_, 1963 edition, page 18.
Dalespam asked:
"How would you suggest synchronizing the clocks in such an experiment?"
The same way clock were set on paper for 100's of years prior to Einstein. Can you tell me why Einstein decided to get rid of such clocks?
Nugatory asked re no experiment showing c invariance:
"I asked a while back in this thread, and I'm asking again... What is a situation in which you find this assumption problematic? That is, can you show us an example of how it's hard to see that the one-way speed of light could be c in all inertial frames? (It's easy to find situations in which if you assume that the one-way speed of light is not c in all inertial frames you get horrible complications)."
To put the ball back in your court, please show on paper any frame getting c for the one-way, two-clock speed of light (not using slowed clocks as in clock transport or in the case of rotated clocks). As I see it, this must be possible or the c invariance of SR is not scientific.
And I am very interested in the "horrible complications" of not getting c? Can you cite one please?
Nug also wrote:
"Thus, even though it is not possible to measure the one-way speed of light (dig deep into any experiment that appears to measure the constancy of the one-way speed of light and you'll find that the clocks used to measure the travel time were synchronized using some procedure that assumes what we're trying to prove) it is very convenient to assume that the one-way speed of light is constant."
What does "the one-way light speed is constant" mean if it is not an experimental (or a possible experimental) result? Of what use is it to physics?
Why is it convenient to assume that which cannot happen?
DaleSpam quoted:
"In all of these theories the effects of slow clock transport exactly offset the effects of the anisotropic one-way speed of light (in any inertial frame), and all are experimentally indistinguishable from SR."
Sorry, but this is not true. As Einstein said, a theory that contains truly synchronous clocks predicts a variable one-way, two-clock light speed, unlike SR.
http://www.bartleby.com/173/7.html
For all of those who mentioned clock transport: I said up front that this is not allowed because moving clocks run slow, no matter how slowly they move. (I also disallowed rotating clocks for the same reason.)
In other words, I am looking for a legit experiment that shows a two-clock one-way light speed of c in any inertial frame, much less many.
DaleSpam wrote:
>If you synchronize the two clocks using Einstein's synchronization convention then it is >guaranteed to be c. Do you understand why?
But it is not via experiment; the clocks are merely manually forced to get "c," as Wheeler said.
Nugatory noted:
"If the definition leads to a contradiction it's falsified. If the definition leads to predictions that don't match experimental results, it's falsified. The one-way speed of light assumption has held up just fine against challenges of this sort and there are no alternatives that do so as well."
How can a definition lead to any contradictions if it has been assumed that any and all results of the definition are acceptable? For example, if two same-frame SR clocks are
compared with a passing clock, then the result is that "the passing clock ran slow." This may or may not be true when it comes to the intrinsic atomic rhythm of the clock, but it is accepted in SR as a valid and meaningful result. (However, it does not seem to be all that meaningful when you consider the fact that SR also has the other frame's clock running slower so that two clocks both run slower than each other. Is this really physics?)
I am not trying to be argumentative, but just trying to see how any frame's observers could use two mutually-at-rest clocks to get a one-way light speed of c experimentally. Of course, one of you said this:
stevendaryl noted:
"This doesn't make SR into a tautology, because there is more than one way to synchronize clocks. For example, slow clock transport: You synchronize two clocks, then slowly (at a speed much less than the speed of light) separate them. SR says that two clocks synchronized by this definition will also be synchronized by the Einstein synchronization convention."
Everyone agrees that using slowed clocks can result in approximate c invariance, but what I am wondering about is what happens using two mutually-at-rest clocks because SR says that this will also result in c (exactly c) experimentally. To me, these are two entirely different things (slow transport & true c invariance).
Harrylin wrote:
>A simple, direct test is completely useless, insofar as two-way light speed has been >tested already.
But SR did not predict two-way invariance - this was given prior to SR via a direct experiment. This left only the one-way case for SR to consider, and SR claims that light's one-way speed is c in all frames. Is this via experiment or merely given by definition? Can it even happen on paper?
If c invariance cannot happen, then it would seem to be of no real use to physics. This is the only reasonable conclusion that I see.