"Prove me wrong"
science is based on the scientific method; that is:
e) analysis (proof or disproof of hypothesis)
The experimental part needs to be repeatable by others in order to be considered 'science'.
Prof Hawking worked on the 'theory' and 'hypothesis' parts, for sure, and the math may be part of 'experimentation' and 'analysis'. Others will experiment, no doubt, to prove or disprove his theories.
So science doesn't require "a leap of faith". Science requires experimental proof. Or disproof.