Yes, that is a fact, and has been proven. It's called Einstein's Special Theory of Relativity. Time has been proven to slow down as speed increases.
It was Hawking and another Physicist who ‘proved’ there was a big bang. It was the Big Bang which brought Time and Space into existence. So far I haven’t seen where Stephen has shown how it was that these two dimensions were brought into existence or intertwined, so I’ll pass on trusting Stephen’s latest assertions.