I like to look at the entire Universe as possibly being one big computer simulation.
In fact, simulation or not, the Universe does seem to act as a computer. Especially, if quantisation of space-time is confirmed it will make it that much more plausible.
Basically, if you count each quantum number of each particle as a bit of information and you define a few simple laws on how they are to interact, then you can create a grid of discrete cells - be they a processor registers or memory cells, depends on your budget - and calculate each local interaction every cycle, which on macro basis will automatically produce "observable" Universe which we see today.
The speed of light will then be defined by the maximum processing speed of this machine and if mass is the quantity taking most power to process, then as you calculate a group of fast moving particles as they go from cell to cell, if the particles have a rest mass they will become more and more difficult to calculate and you will start skipping cycles on their interaction in favour of keeping them moving. So, they will look to the outside cells as if their local time has slowed down in relativistic fashion, so to say.
This is just a thought experiment. I am not crazy enough (yet) to claim this is the actual reality. But it might be. Or not.
I'll watch this space in the meantime...