“We must believe in free will, we have no choice,” the novelist Isaac Bashevis Singer once said. He might as well have said, “We must believe in quantum mechanics, we have no choice,” if two new studies are anything to go by.

Early last month, a Nobel laureate physicist finished polishing up his theory that a deeper, deterministic reality underlies the apparent uncertainty of quantum mechanics. A week after he announced it, two eminent mathematicians showed that the theory has profound implications beyond physics: abandoning the uncertainty of quantum physics means we must give up the cherished notion that we …