How Real Are Real Numbers? Challenging Continuity with Discreteness
How real are real numbers? (2004)
I explore mathematical and physical arguments questioning the existence of continuity in our universe, advocating instead for a discrete reality. Drawing heavily on the pioneering ideas of Emile Borel, I examine why the traditional concept of real numbers may be a mathematical fiction rather than a physical truth. This perspective suggests that the infinite precision implied by real numbers does not align with the observable, finite nature of our world.
The real numbers are not real; they are a mathematical abstraction that fails to capture the discrete nature of physical reality.