My final sentence was getting at a mechanism by which momentum is conserved in this system.
If you assume that time is quantisable (big assumption, I know), and that the planck time is lorenz invariant (not as much of an assumption), then an EM wave at a fixed frequency moving from one reference frame to another could experience quantisation due to the shifting time-base, resulting in an apparent net deceleration - resulting in a measurable acceleration of the system as a whole.
And now I'll take off my fringe hat and get back to the day job.
Well, the relativity principle states that things don't "move from one frame of reference to the other". You choose a frame, and observe things on that frame; changing the frame of reference is your choice, and must not alter the results in any way.
Accepting a flaw in conservation of momentum is already hard enough without you (and the original paper) imposing a flaw on the relativity principle to explain it.
Ah, the old "it's Einstein so it must be right" gambit.
People used to say that about Newton - until experiment proved that he didn't have the full picture.
It's highly improbable that relativity is any different. Yes, it gives demonstrably correct answers, but that doesn't mean that it holds in all cases.
I mean, why would we be even talking about LQG if we thought relativity gave the full picture?
You're right that I was wrong to say it moved from one reference frame to another, which is clearly bollocks - the EM undergoes an acceleration to relativistic mass, then a deceleration.
You are proposing an experiment that shows that momentum does not always conserve. That's great, it's hard to accept the results (extraordinary evidence and everything), but if they hold, it's great.
Now, you do a huge amount of handwaving to try to explain the results, and in your handwaving you break another basic, unrelated principle. This time, no, I just won't accept your conclusions, you have no reason to break two principles when your experiments support only one.
By the way, the relativity priciple was first stated by Galileo, not Einstein.
If you assume that time is quantisable (big assumption, I know), and that the planck time is lorenz invariant (not as much of an assumption), then an EM wave at a fixed frequency moving from one reference frame to another could experience quantisation due to the shifting time-base, resulting in an apparent net deceleration - resulting in a measurable acceleration of the system as a whole.
And now I'll take off my fringe hat and get back to the day job.