With regard to relativistic effects on time, all the examples and explanations revolve around light and its speed. Especially in explanatory situations that explain this using photon clock, it seems that when the clock moves near the speed of light, the photon has to take a long path to reach the other mirror.
So all of these explanation are driving me to conclude or believe that the time is nothing but the speed of light (or the light itself) and all this special relativistic effects are built around the assumptions that only light (or its speed) are superior in this universe.
What if there is another thing (probably invisible so we never found it?) which travels faster than light? Would we need to change all our laws of relativity?
Coming back to the photon clock example, who decided that only photons traveling between two mirrors can be used to define a tick (I mean one second)? Would we replace the photon with some other thing if it is found in the future that the thing actually moves faster that light?
More questions: - Is it possible to understand this with out using any Math?
- It appears to me that constancy of $c$ is a result of our Math. So universal properties (like the speed of light never changes) are decided using Math? What if an Alien Math equation differs from ours theory?
I think I'm not able to understand a simple key between time and its relation between speed of light (and probably accelerating bodies with respect to other bodies).
- And in the problem of twin paradox, the person who travels near speed of light and comes back to Earth would actually see his friend aged more than him. So how does the speed/acceleration would slows down his aging process?
I would be very thankful if you can explain this with out using any Math. Even Einstein must started with a thought process before using Math to solve/prove this problem.