Synthesized answer
The provided passages do not detail the specific evidence Stephen Hawking provides in his book. They only mention that "My Brief History" is the story of his life told in his own words, expanded from a lecture [Passage 1]. The passages also state that he is the author of "A Brief History of Time," a bestselling book [Passage 1].
Therefore, while the passages establish that the book is a personal account of his life, they do not offer any information about the evidence he presents within it.
Synthesized from the book passages below. Chat with the book on Feynman for follow-up.
From the book
Title: My Brief History by Stephen Hawking Description: Stephen Hawking is one of the most brilliant cosmologists of our time, and author of the 10 million copy bestselling A Brief History of Time, one of the iconic books of its generation. Now, for the first time, he tells the story of his life in his own words, in a book expanded from a lecture of the same name.