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That's not how Relativity was created. SR comes from one idea, a axiom of sorts, still undisputed experimentally.
But, the experiment I'm proposing to determine the one-way speed of light... which I think could be calculated to an accuracy of a couple of m/s, would take a huge bite out of Special Relativity.
But it is also so that no matter how fast you move with your 'local clock' it will never change its pace, and according to it your 'aging/decay' will come at a natural pace locally. So what you do there is to assume that there should be some 'global' definition of time. There isn't, and that's one of the things why so many want to get rid of 'times arrow' as a 'global phenomena', because it doesn't exist in reality, only locally.
And that you can check very easily using two clocks giving them different 'relative motion'. They will start to differ, but when you reintroduce them into one same frame of reference again (impossible as I think of it for fermions, aka matter) they will share a same 'clock beat' no matter what you measured before between those clocks 'differing', so that is your reality check of what 'times arrow' is, well as I see it.
Anyway, you wrote "his theory philosophically requires an aether for every possible frame of reference to maintain separations between objects, whereas Lorentz's requires only one."That's not how Relativity was created. SR comes from one idea, a axiom of sorts, still undisputed experimentally. 'c'.That and 'frames of reference'
Quote from: CliffordK on 13/01/2012 17:21:27But, the experiment I'm proposing to determine the one-way speed of light... which I think could be calculated to an accuracy of a couple of m/s, would take a huge bite out of Special Relativity.It won't work - you can't just divide an orbit in two and asume that it takes 11 hours 58 minutes (half the time the Earth takes to rotate) for a geostationary satellite to get from one point to the opposite point and then another 11 hours 58 minutes to get back to the first. The whole system could be travelling close to the speed of light, in which case it will take a very long time for the satellite to travel round the half of the orbit that takes it from behind the Earth to in front of it, and then it will race back the other way in a tiny fraction of the time. While it does this, its clocks will be slowed during the slow half of the orbit and run close to full speed on the way back, making both halves appear to take the same length of time. The result of this is that the effect you're trying to measure will be cancelled out completely and you will detect nothing, just like every other experiment.
It all depends on your definition of time, which I fear has gotten distorted over the past century. []
However, looking at the external Earth and Sun would be invariant in different space frames. Only if you are in a spaceship leaving Earth, it would appear to slow down due to seeing the light arrive later. But, the correction is quite simple based on distance from Earth.
Your perception of the speed of the light from the light source you are approaching necessarily speeds up.Your perception of the speed of the light from the light source behind you necessarily speeds down.
Part of the reason that the light you are approaching has to speed up is that if, for example, you were measuring the passing of light with a series of shutters. Light would pass through the first shutter, starting the time. Then your train would move so that the endpoint is closer to the start point, and thus it must arrive at the end point earlier. Likewise, if the second shutter is receding from the source, the light would arrive at the endpoint later.
So, if you have two sources of light, then by relativity, for both speeds to be equal, one must have a clock that both runs fast and slow simultaneously.
Let's rule out one possibility first by testing the idea that the speed light travels through the equipment is modified by the speed of the equipment such that it always appears to be the same when measured by the shutter method. Imagine two trains travelling in opposite directions at high speed. Light is sent in the same direction through both trains. Let's put the light source between the trains, then split the beams to send them into the two trains, and then use mirrors to send the light down the middle of the trains. The shutters are moving with the trains. At the end, more mirrors reflect the light back out into the space between the trains where a detector times the arrival of the two beams, where both arrive simultaneously. If the light was actually moving faster in one train than the other, the two beams would not arrive at the same time, but they must do - if they didn't it would be possible to send information faster than the speed of light by sending the message into the other train and transmitting it the length of that train before sending it back into the first train. This means that the shutters should show up something - one of the rear shutters will open and close too soon while the other won't open in time. To any observer on either train though, it will look as if the timing between the shutters opening is wrong, but we can now determine that the timing is right because we synchronised the timers when they were together and then moved then slowly to their positions by the shutters, and confirm it by bringing the timers back together to compare them again.
http://en.wikipedia.org/wiki/One-way_speed_of_light#Experiments_that_can_be_done_on_the_one-way_speed_of_light
As far as a light-clock.It would be pretty easy.
But, for example, one might be able to define the diameter of the helium atom 4He as a fundamental distance. Perhaps add some additional parameters including pressure, and temperature.Then, one could define a basic unit of time as that time it takes for a two-way light beam to travel the distance of the diameter of helium.Or... use the nucleus, if that is more invariable than the electron cloud.
Ok, synchronizing clocks is still an issue.I think there is something to the light clock.I've made another diagram to study wavelengths and movements. Mirrors reflect the light waves back towards the source. Propagation waves shown with respect to the rest frame of the fabric of space. [ Invalid Attachment ] In this example, in all directions the viewer sees green, independent of the actual frame movement. In fact, it is exceedingly difficult to discriminate between the wavelength/frequency functions (and thus the theory of Relativity).