Basudeba,
here is the answer to your discussion about waves.
I understand your analysis. Einstein eliminated the "medium" in order to justify his postulates.
However, if an informational approach can produce what's known as "time dilation" equations, and if this approach doesn't presuppose the postulate of light speed, and if it doesn't preclude the existence of medium, then what do we have?
We have a theory where:
1. "relativistic" effects can be explained without even a notion of light, let alone contrived postulates about it
2. a medium is allowed
3. a wave in it is allowed
Think of it this way: if I can explain why there are "relativistic" effects by using "computers", and if "computers" can comprise a medium, then light can propagate in this medium and all the classical and "relativistic" qualities of it that we know are true, simply emerge.
My theory shows, in clear mathematical terms, that it is so. There is no ether, there is no need for dubious postulates. There is an axiomatic informational reality.
I suggest that neither ether nor relativistic approach are correct. After a 100 years, I hope it's clear both are dead ends. Only the informational physics and the Fundamental Information Theory (FIT) provide an answer that doesn't need magic and a heavy dose of authority applied to it, to produce a good answer. I don't argue that Relativity works (at least so far). But so did Ptolemy's geocentric system, and it did so splendidly for over 1400 years.
I just hope we aren't stuck with Einstein's beliefs for so long. In fact, I don't think we will. Because if we do, we will never achieve practical FTL travel, and we will be likely wiped out long before that.
I have already hinted that my theory allows for a practical FTL in some cases, while reducing to Einstein's equations in others, all the while staying strictly in agreement with experiments. This is important for any serious scientific theory in order to make any new bold claims, such as the possibility of true FTL travel.