Those who have got closest to him, still struggle to properly decipher the maths he tries to articulate through the use of his machine. I saw this in a documentary, the student of choice, was barely able to put what he wanted into mathematical language. A lot of the time, it is a struggle, but they sometimes get there. Hawking is that advanced, AFAIK.
Hawking's maths exist, maybe not as you know it, but exists it does, in a form he can readily make available to his peers.
Plus he worked on his earlier papers with such noted reputables as Thorne, Hartle and Roger Penrose.
To say his earlier papers did not show mathematical validity is false.
The last paper [the topic of discussion] did not delve into the maths and is one of the reasons why his peers are treating it very critically.
In any case, the title of the thread, like the article is just sensationalism, and once again, BH's their EH's, the aspects of time, past present and future all have their reality when speaking of the Universe, expansion, space/time, FoR's and BH's EH's.
The 20th century has been great for the cosmological/Astrophysical sciences, and we have discovered/realized much, although much more is around the corner waiting.......But the probability remains that the BB, SR/GR and their spin offs are so well supported, that the future will no doubt encompass them, with only some tinkering around the edges maybe.