c is the speed of light. It’s an observable. If I change c, I’ve made an observable change in the universe --> universe no longer looks the same?
Or are you saying that we’ll change t and c both, but the measured speed of light will become some function of c and t that works out to remain the same? As in, c is no longer the measured speed of light (in a vacuum)? Then can’t I just identify the difference between this universe and the t → 2t universe by seeing whether or not c is the speed of light?
I also think you’re stuck on restricting yourself only to E&M using Special Relativity. If you take t → 2t you change the metric from minkowski space to some other space, and that means that you’ll have gravitational effects where there previously weren’t gravitational effects. You might be able to salvage that in some way, but it’s going to be a lot more complicated than just changing the value for c. The only thing I can think of is to re-define the 4-vector dot-product and the transformation laws for objects with Lorentz indeces, and even that might not end up being consistent.
Uh… what?
c is the speed of light. It’s an observable. If I change c, I’ve made an observable change in the universe --> universe no longer looks the same?
Or are you saying that we’ll change t and c both, but the measured speed of light will become some function of c and t that works out to remain the same? As in, c is no longer the measured speed of light (in a vacuum)? Then can’t I just identify the difference between this universe and the t → 2t universe by seeing whether or not c is the speed of light?
I also think you’re stuck on restricting yourself only to E&M using Special Relativity. If you take t → 2t you change the metric from minkowski space to some other space, and that means that you’ll have gravitational effects where there previously weren’t gravitational effects. You might be able to salvage that in some way, but it’s going to be a lot more complicated than just changing the value for c. The only thing I can think of is to re-define the 4-vector dot-product and the transformation laws for objects with Lorentz indeces, and even that might not end up being consistent.