Oh, you really don’t understand how science works – just like I had suspected.
As I wrote somewhere else:
As Alexander Vilenkin, one of the ‘fathers’ of quantum cosmology, wrote in his paper Quantum Cosmology and Eternal Inflation: “sadly, quantum cosmology is not likely to become an observational science.” But if it cannot become observational science, what kind of science is it then? The natural sciences are founded on observation and experiment. Shifting the foundations of the natural sciences towards an exploration of the world by pure thought alone would throw us back to – well, the pre-scientific world (even if the concepts and the mathematics are now more sophisticated).
You can do all the math you want, but math alone doesn’t lead you anywhere if there is not even possibility of verification by observation. Math could perfectly demonstrate, with beautiful epicycles, that the Sun and all the planets revolve around the Earth. If there wouldn’t have been such a pesky little thing called scientific observation, which got in the way…
Hawking’s mathematical model for the universe is just one of many possible ones. The same goes for other models.
Theoretical physics was so successful until the 1970s because it predicted all particles and parameters that later were in fact experimentally observed and led to the Standard Model of Physics.
String theory on the other hand has not yielded any experimental results that support it, not even with the recent Large Hadron Collider. Why do you think the scientists who formulated the Standard Model have received a Nobel Prize, but not even one of the famous string theorists, or Hawking for his models? The Nobel Prize is awarded for scientifically demonstrable results, not for speculations.
Mathematics can easily be used to ‘create’ physical scenarios, but in the natural sciences mathematics describes reality, it does not create it.
There is no scientific observational evidence for an eternal universe. Your assumption that the universe is eternal is indeed based on – faith.