Kharakov
Quantum Hot Dog
I'm absolutely positive that Underseer is talking about space that is orthogonal to a single 0 dimensional point source BB singularity.The axiom/premise is flawed. You can't prove that reality is real.
What is 'real?' That there is Something rather then Nothing is indisputable. It is an Absolute. It is self proving without being circular. The nature of this Something is another question.
In other words, all space is orthogonal (imaginary axis) to the real axis of 0 dimensional space (which is time). We just treat the 3 space dimensions as 1 orthogonal imaginary axis.
Of course, the real axis, being time, is not reality, because it has both infinite and no duration at the same time, which makes its existence paradoxical, which means it doesn't exist if it does.
And even if it does exist, since it has infinite existence, it is not real, because it isn't in the set of reals. Or is infinity in the set of reals? I should probably know that before I claim something about it.