I invite any and all logicians to go through what I said and point out the error in my presentations. The reference link presumes the very postulates that I proved are wrong at the start of their presentation.
Which logic? That from the beginning of the thread?
You are hopelessly confused there. What time dilation says is that when I look at the rocket flying by that I see all clocks and processes on board going slower. This has nothing to do with your observation that a one hour program sent from behind takes longer to be received by the rocket, and that the same one hour program goes faster when sent from the front.
If you do the calculation, taking everything into account (speed of light, speed of the rocket relative to me, time dilation of the rocket relative to me), then you will see that for the crew the program from behind takes (T is duration of the program, t is the time for the crew):
t = T * sqrt(((1 + (v/c))/(1 - (v/c)))
And from the front:
t = T * sqrt(((1 - (v/c))/(1 + (v/c)))
As example, take v = 0.6*c then from the front the program is finished twice as fast, from behind twice as slow. From my perspective however it took 2.5 times longer from behind, and 0.625 towards the rocket. (t = T / (1 - (v/c)), t = T / (1 + (v/c)) respectively, i.e. the values without taking time dilation into account).
I'm unclear as to what you think I'm in disagreement here? I already understand this logic clearly. You're not seeming to see the relevance of the difference between the determination due to perception and the conclusions drawn to actual reality due to them. I'm seeing that you understand what I understand and yet you're missing how the definitions, logic, and the language shift in meanings as the theory of Relativity from Einstein proceeds.
You observe, A, B, &, C, that deductively infer conclusion D. But while the observations in and of themselves are undeniable, the conclusion, D, leads to something that leads to a mismatch with the same everyday understanding of observations. D appears inconsistent with regular intuition. While it is true that in deduction, the premises guarantees the conclusion, if it is questionable to reality (by appearance), then it is possible that one or more of the premises are disconnected by some linguistic error, relevance issue, or missing premises, among others issues unexamined.
If sufficient data is missing, is it best to consider the functional validity of the conclusion, even if it has predictable capacity that you can induce later, or is it best to suspend the whole argument from
absolution and investigate a new way to fix the argument itself? For practical reasons, while it may be wise to continue with the theory on a tentative basis, it is still best to investigate the logical means of explanation until an explanation provides a match of the conclusion with the same capacity of the observers with respect to the premises. That is, we must forcefully find an interpretation that completely takes the discomfort of the rationale from our ordinary means of understanding. There is a real reason why a conclusion can appear to be true and yet is contrary or contradictory to our sensibility. While nature has no imposition to make sense to our rationality, it makes better sense to remain skeptical and try to resolve this rather than just accept it fact for its practical implications.
It is also not the case that the processes themselves slow down. It is only that for me, seeing the rocket fly by, all the processes on board seem to slow down, and all the objects seem shortened in the direction of flight. For the crew of the rocket nothing changes, and every electromagnetic experiment they do on board, including the measuring of the speed of light, gives exactly the same answers as when I do the experiments. I would find that their clocks are running slow, and their measuring rods are funny short, but if they divide these for me shorter distances with their slower times, they find that the speed of light is c. And of course, the crew of the rocket sees me flying by, and finds my clocks are slow, and my rods are short, but they will see that my measuring of the speed of light with my clocks and my rods again is exactly c. The shortening of rods and slowing down of clocks is not a physical effect, but a coordinate transformation I must take into account when observing objects that are moving relative to me.
This doesn't point out the particulars with respect to what it is declaring. It avoids the issue of the arbitrariness of leaving out time as being assumed normal. It implicitly also opens the door for radical assumptions on the nature of matter, energy, and space in other times. This abortion was deliberately created to enable relativity to work.
Should that count as a logical refutation of the principle of relativity??? You are joking!
Yes, in regards to the whole argument in context. If a premise lacks clarity by fault of its inability to determine a precise definition that makes the meaning of it insufficiently unique, then the conclusions based on it can only be just as obscure.
"Light", here, is again improperly quantified. "...the light", for instance. Is it anything defined as light? Is it only light as defined by the present observer? Is "the" light the same phenomena from different perspectives (inertial frames)? This lack of appropriately defining allows one to shift in one's understanding of light in meaning as if they all are equally the same.
Again, it is about the speed of light, not its frequency. The frequency transformation is accounted for in the relativistic doppler shift.
This is an example of the obscurity imposed. You are following the unstated assumption that "light" in this understanding is a perfect point with the contextual information of its particular wavelength embedded in it. A wave as understood by you and others is as a magical entity that you simply label as "transcendent" and can travel through an essence you label as "nothing"; "space" is confusingly both something AND nothing, certainly illusive and real, at the same time. [Although waves can be described as having perpendicular way of propagating that is different to compression, the label, "transcendent", should alert you to how the originators applied it to the way they see light.]
"Speed of light" means nothing without defining real points to measure things with respect to distances and time. By declaring no such thing as a fixed point in space, means you cannot just appoint one in an instance for measuring purposes and determine any certain reality from it appropriately because then any determination based on it assures that we must still simply define those temporary reference points as "fixed".
Relativity is like saying that (1)
only subjective reality is real (no fixed objective point of reference), and yet that (2) objectively, all reality is fixed in that all perspectives follow the same rules and will appear the same for all subjects.
Another way of this saying this: Everything is uncertain, except the certainty that nothing is certain. This rationality assures that whatever anyone can say about reality is true and false in exactly the same universal way. Paradoxes exist as reality to this mentality. I go on the assumption that paradoxes don't actually exist but that contradictions themselves are relative perspectives of illusion to a reality that has a solution elsewhere undetermined (as yet).
The way you see connections with the cosmological principle, the age of the universe, the uncertainty principle, etc. are ridiculous. You do as if the whole of science is one big conspiracy to hide their errors.
It's obvious to me that I have to approach this with a more intensive digression into philosophy, logic, and linguistics. I have in fact started out this way in my formal thesis (still incomplete). I see that you understand Einstein the way I do but are either missing my point or are not understanding certain aspects of logic the way I do. While I find that what I presented is a clear reductio absurdum to the theory, I'm not sure why you are unable (or appear to be unable) to follow.