Of course if it exist across space it exist across space and time.
Are you saying their secondary function as some kind of wormhole? But as of right now the only thing for certain is that we can not describe space-time inside black hole radius, or if space-time even exist in there.
But I was talking about say the object growing infinitely large (or maybe space-time shrink indefinitely) upon reaching absolute zero, or the fact that photon can exist simultaneous on its entire path (or moving at all?), that it exist across every space of its single linear path (unless we take the space-time warping capacity of gravity that is too little to be take into account with solar system's low mass, but that only eliminate its dimension being singular?).