Easy. Any mathematical 'realm' does not contain or refer to space or time. Physical theories do refer to these, and physical theories happen to be mathematical, such as Einstein's.
Ho arfa....Mathematics is said to be the language of physics, and in that respect, just like the many thoughts, good and bad, that we all probably have, are abstract.
The concept of space and time is though in my opinion quite different.
Albert did not say "Time is an illusion"...he said "Time is an illusion: albeit a stubborn one.
I'm sure he was inferring that putting a finger on what time exactly is, was rather difficult.
Likewise, he also said "Imagination is more Important than knowledge" In a similar way, I don't believe he meant that as exactly as put...rather that Imagination is not to be disregarded and is on an equal footing with knowledge, going hand in hand with it to progress science and humanity.
Space is what separates everything we see...It's what exists between you and me now.
Time is what stops everything from happening together....It's what existed between when I posted my last post and this one. OK, accepted, they are rather simplistic descriptions but still fit the bill.Occam's razor if you will.
All SR/GR did [and the BB] was bring into focus, the reality of these former concepts that may have once been thought of as just abstractions. The fact that space can be measured to be twisting and warping, the fact that we have no Universal now, all in my opinion point to the reality of both.
I also certainly read the Sean Carroll link from undefined, and supplied one of my own, and I do not see that what he says even remotely supports the non existence of these entities...In fact, the opposite is true.
How what he said could be twisted and misconstrued into other meanings, suggest in my opinion, that those two that do propose that, have an agenda and excess baggage that act as blinkers.
Finally the first six or seven replies to the OP were by the person initiated this thread as well as other similar threads, indicating that agenda.
That along with the original blanket statement that time does not exist in GR, being watered down somewhat to 'global time does not exist point to some sort of agenda and fanatical need to draw attention to the controversy created.
Similar false misleading arguments were put in the "speed of light is not constant" thread.