Physicists such as Stephen Hawking and Laurence Krauss have asserted that the mathematics behind solving the wave function demonstrate how our universe did not necessarily have a beginning, and they argue that our universe could have appeared from “nothing.” Yet both of these claims are incorrect.
With regard to the first claim, Hawking solved the wave function using a mathematical trick where the time variable was replaced with imaginary time. The exact details are not crucial to understand. This substitution not only enabled him to solve the wave function, but it also eliminated the beginning of time in his analysis because the original time variable was replaced. In describing his work, Hawking declared that he had eliminated the need for God to explain the origin of the universe:
So long as the universe had a beginning, we would suppose it had a creator. But if the universe is really completely self-contained, having no boundary or edge, it would have neither beginning nor end; it would simply be. What place, then, for a creator?5
In reality, Hawking’s mathematical trick altered the equations in such a way as to disassociate the new time variable from anything real6 in the physical universe. More importantly, at the end of his calculation, he transformed back into real time, at which point the beginning of the universe reemerged. Hawking even admitted this point…Brian Miller, “Efforts to Resist the Big Bang and Its Implications for Cosmic Design” at Evolution News and Science Today (March 2, 2022)
When evidence is sought merely to refute something one must take that fact into account.
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