Indeed, but before there were "physics" those problems still existed.
Physics is an awesome science since, it seems, to be the most "error" free of sceicnes because of its mathematical precision.
That said, there is no reason the think that the physics of today will be the same as what we may have even 100 years from now.
Wasn't it not too long ago that the atom was viewed as the most smallest particle?
I am just saying that, perhaps, one day, light speed may be just another speed, it may be the we find that thought can travel faster than light, who knows?