@JSS
What exactly have you solved?
All time and simultaneity paradoxes introduced, and worse - REVERED/HALLOWED - if you can fathom that level of stupidity, by relativists.
Time is not an independent variable, and it cannot be manipulated (for one reason) BECAUSE it is non real. The now is the same for all observers.
Can you use this solution of yours to calculate the correct frequency adjustments for satellites in Relativistic orbits?
If the equations work, why change them? Deluding yourself into thinking that because your equations work (in limited use cases, with error) that you understand the way reality works is a logical flaw all bayesians fall for. Scientists who practice science (the scientific method) are not so easily deluded (though they do, regrettably, often still find a way...). Equation worship is a scourge.
Some new method to data transmission or logic processing or math?
Nope! Much like relativity, i have nothing like that for you!
Can you break the speed of light limit?
The limit is defined by the media of which the light wave is composed and travels through. It is not a fundamental law, as much as a property. If aether dragging (or manipulation) is possible (I think it is), then yes - much like in the relativistic framework you can have "faster than light" speed depending on frame of reference (galilean/newtonian). If not, then no - BUT you get absolute motion and time as a trade off, which is totally worth it.
Your belief that time isn't real... what are the results of that?
I try to avoid belief, especially in matters of knowledge/fact and most especially in science. I'm just stating facts, matter of factly, as most all do! If you have some evidence to refute these facts - lay 'em on me!
This is why I say what you are talking about is just philosophy.
That's true! Science is JUST philosophy (natural philosophy) but it has experiment to keep it "grounded"/connected to the manifest objective reality we all share.
It can't produce results, it can't do any work
We were lied to / mistaught about philosophy (and all of science, a branch of philosophy). It can (help us to) do great work! But it must be demonstrated to be so! I side with einstein on this point - a scientific theory must be judged by the biblical maxim, "from its fruits shall it be judged". I am not saying that recognizing that time is a human fiction with no manifest reality will be particularly fruitful (initially, anyhow) - however it will cut down a large part of a rotten tree blocking out the sun and preventing new growth! This is the same case with the true shape of the world.
Relativity on the other hand, gives us many things, the ability of GPS to function and compensate for time dilation simply being one of them.
Relativity really didn't give us much of anything (but TOOK our time in a mathematical cul-de-sac instead of practicing physics), but that is a much longer discussion. There are things that happen as a result of moving quickly, that affect the rate of certain thermodynamic/radiologic processes. This was discovered through experiment and observation - relativity came afterwards. This is mostly a case of correlation being mistaken for causation - EXACTLY the sort of delusion that the scientific method was designed/created to avoid! This is WHY relativity is based so heavily on unsound and irreconcilable paradox as well as complicated mathematics and "thought experiment". It is intended to dazzle and confuse - that is all it really ever "gave" us.