gnostic
The Lost One
You really don’t understand the concept of evidences, do you?Sorry, but you either believe light travels at a constant speed of c or you don't. c = 186,000 miles/sec
Relativity is more than just speed or a constant. Science is more than just about a single constant.
Science is about explanatory knowledge, backed by observation or evidences.
Evidences can be something that you can observe or detect, something that be quantified or measured, something that can be tested or verified.
The clock at command centre at nasa and the clocks on satellites, rockets or space shuttle have been synced with base’s clock, before launch.
Depending on the duration of the missions, speed of crafts, the orbital distance from Earth, time will either be faster or slower than the base command’s clock.
Even if time differences between base and crafts are just matter of seconds, microseconds or nanoseconds, they are detectable and measurable evidences of time dilation.
And if the next 10, 50 or 100 other missions, and each one have different time differences to that of the base’s clock, then you will have multiple evidences that confirmed time dilation are not only possible, but probable, then you have quantifiable and verifiable evidences.
The more evidences you have, the more probable is the theory. It is all the evidences that provide real-world solution.
But the more evidences you have against the theory, or the lack of evidence or the theory is untestable, only then, you would know the theory is improbable.
It is the evidence (eg physical evidences, the experiments and tests) that determine the validity of scientific theory, not the constant.
If the constant, or mathematical equations or formulas, don’t match the available empirical evidences, then it is the maths wrong.
The constants, equations and formulas are only valid and relevant if the evidences and maths work together.
The only reasons why Multiverse model, Superstring Theory, String Theory, M-theory, etc, are considered theoretical physics and not scientific theories, are because they have only logical and mathematical solutions to the problems, but no (real-world) testable evidences.
And the only reason why the constant speed of light have been accepted, and therefore valid and relevant, is because it works with Relativity, including time dilation.
You need to focus more on the evidences, not just maths. I am not saying you should ignore the maths. Far from it.