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The concept of space was easy to understand when it was described simply as a vacuum.
Then it was described as the absence of matter.
It was also described as 'black' .. as in the sense of it being devoid of colour, or light.
Then came theory, and with it ... mathematics to describe the laws of nature. The statement that: "the laws of nature are written in the language of mathematics", was properly made three hundred years ago … it is generally attributed to Galileo. This statement is now taken to be more 'true' than ever, in science.
Teddy bears can be described mathematically .. computers use mathematical algorithms to reproduce teddy bears, and animate them to give them life-like qualities, all the time. They then exist on TV as well as observing themselves on TV, from an armchair in a living room !
Black holes (BHs) haven't been directly observed. They are a concept derived directly from the physical laws which are themselves, described mathematically. They can also be indirectly observed by the absence of 'something' in space, as well as the presence of the bending of light, which appears to be a 'something'.
Karls48 appears to relate to BHs in his world as reality .. ie: they exist ... therefore the relationship of mathematics to a directly unobservable object, or a directly observable object, are as real to him as a teddy bear watching itself on TV.
Space has been described as 'nothingness' .. then came the Big Bang ... and space was one result.
Space has been described as the 'nothing' which exists between the 'something'. In BHs, gravity acting in the presence of a 'something', compresses the 'nothing'. BHs described by mathematics, must therefore be part of the 'something' which expels the 'nothing' back into space, which is also the 'nothing'.
Space grows to explain the unknown and undiscovered. It also shrinks whenever the unknown or undiscovered becomes known, and discovered.
I'm cool with all that .. and I hope this helps.
Cheers
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