A mathematical proof has finally disproved the idea that we live in a simulation.
A mathematical proof has finally disproved the idea that we live in a simulation. The theory that the universe could be a computer program has been championed by Elon Musk and forms the basis of classic sci-fi films like The Matrix.
The idea that we might be living inside a giant computer simulation , like in the movies The Matrix, has fascinated philosophers and scientists for years. But a new study by researchers at the University of British Columbia's Okanagan campus has dealt a decisive blow to that theory.
According to Dr. Mir Faizal, Associate Professor in the Irving K. Barber Faculty of Science at UBC Okanagan, and his international collaborators, the very structure of reality makes simulation impossible.
Their work shows that no computer, no matter how advanced, can recreate the fundamental workings of the universe.
Their research doesn't just disprove simulation theory. It shows that reality is built on a kind of understanding that can't be reduced to computational rules or algorithms.
The researchers approached the problem of simulation through mathematics and physics rather than philosophy. They explored whether the laws that govern the universe could, in theory, be reproduced by a computer system.
' It has been proposed that the universe could be simulated, ' said Dr. Faizal. ' If such a simulation were possible, then the simulated universe itself could generate life, and from there could generate its own simulation.
This recursion makes it seem highly unlikely that our universe is a primordial universe, rather than a simulation nested within another simulation. '
This question was once thought to be beyond the reach of science, he explained. " However, our recent research has demonstrated that it can, in fact, be addressed scientifically. "
Modern physics has come to see reality as more than just solid matter. Quantum gravity, the latest framework that combines relativity and quantum mechanics, suggests that even space and time are not fundamental. They arise from something deeper: pure information.
Limits of logic
To test whether this information platform could be simulated, the team relied on mathematical principles, including Gödel's incompleteness theorem.
This theorem states that in any logical system, there will always be true propositions that cannot be proven within that system.
The same limitation applies to physics, Dr. Faizal said. ' We have shown that it is impossible to describe all aspects of physical reality using a computational theory of quantum gravity ,' he explained.
' Therefore, no complete and consistent physical theory of everything can be derived from calculation alone. '
He added that a complete description of reality requires what they call ' non-algorithmic understanding ', something that no computer process can capture.
In other words, computation can only go so far before it reaches the limits of what logic can express.
Why can't the universe be simulated?
Can the deeper 'information' of the universe itself be simulated? Researchers say even this is impossible.
' Based on mathematical theorems related to incompleteness and undefinability, we demonstrate that a completely consistent and complete description of reality cannot be achieved through computation alone ,' said Dr. Faizal.
" It requires non-algorithmic understanding, which is by definition beyond algorithmic computation and therefore cannot be simulated. Therefore, this universe cannot be a simulation ."
Co-author Dr. Lawrence M. Krauss said the discovery changed the way we view the laws of physics. ' The fundamental laws of physics cannot be limited to space and time, because they create them ,' he noted.
' A complete and consistent description of reality requires something deeper—a form of understanding known as non-algorithmic understanding .'
Dr. Faizal concludes that any simulated world must follow programmed rules. ' But since the fundamental level of reality is based on non-algorithmic understanding, the universe cannot, and never could, be a simulation ,' he says.
The research is published in the Journal of Applied Holography in Physics.