The research hinges on a fascinating property of reality itself. Modern physics has moved far beyond Newton’s tangible “stuff” bouncing around in space. Einstein’s theory of relativity replaced Newtonian mechanics. Quantum mechanics transformed our understanding again. Today’s cutting-edge theory—quantum gravity—suggests that even space and time aren’t fundamental. They emerge from something deeper: pure information.
This information exists in what physicists call a Platonic realm—a mathematical foundation more real than the physical universe we experience. It’s from this realm that space and time themselves emerge.
Here’s where it gets interesting. The team demonstrated that even this information-based foundation cannot fully describe reality using computation alone. They used powerful mathematical theorems—including Gödel’s incompleteness theorem—to prove that a complete and consistent description of everything requires what they call “non-algorithmic understanding.”
Think of it this way. A computer follows recipes, step by step, no matter how complex. But some truths can only be grasped through non-algorithmic understanding—understanding that doesn’t follow from any sequence of logical steps. These “Gödelian truths” are real, yet impossible to prove through computation.
Here’s a basic example using the statement, “This true statement is not provable.” If it were provable, it would be false, making logic inconsistent. If it’s not provable, then it’s true, but that makes any system trying to prove it incomplete. Either way, pure computation fails.
Since the computational rules in the Platonic realm could, in principle, resemble those of a computer simulation, couldn’t that realm itself be simulated?
No, say the researchers. Their work reveals something deeper.
“Drawing on mathematical theorems related to incompleteness and indefinability, we demonstrate that a fully consistent and complete description of reality cannot be achieved through computation alone,” Dr. Faizal explains. “It requires non-algorithmic understanding, which by definition is beyond algorithmic computation and therefore cannot be simulated. Hence, this universe cannot be a simulation.”
When I read Godels incompleteness theorem in college, I immediately thought there you go - faith is real. Im surprised religious philosophers don't point to it more. If you use a definition of religion that it concerns itself with those things that must be taken on faith, you can't deny that there, then, must always be science and religion and the truth found in each either reinforce one another or aren't really true. Thus, it also clearly defines how religious 'truth' can be debunked.