Nobel Prize winning physicist Eugene Wigner in his famous article "The irrational Effectiveness of Mathematics In Natural Sciences" (The irrational Effectiveness of Mathematics In Natural Sciences) ) writes that the correspondence between pure mathematics and the natural world is “almost mystical.” "There is no reasonable explanation," he said.
It can be said that basic mathematics is used to describe the daily world. We can learn about the origins of things like counting and addition, and how to calculate area. However, as Wigner goes on to argue, this simple explanation cannot account for so much of what we see.
The work of professional mathematicians often involves incredible ingenuity and extraordinary knack for logic. Some theorems and proofs take years to understand. It’s amazing, however, that many of the most brilliant and insanely abstract concepts turn out to perfectly model real-world phenomena. They fit like a lock and key.
Think about how unusual this is. Our brains seem to generate a range of things in an abstract, immaterial realm of thought. We also have another category or set of things that we call "things the universe does"
Then, as history goes on, we find that there are connections between various mathematical concepts and "things the universe does" an exact correspondence. "There's an amazing overlap between what's going on inside our heads and what's going on outside. Many times, the math works out before we even go out to find a good place in the world.
In Wigner’s words, “It is difficult to avoid the impression that we have encountered a miracle here. "This is extraordinary. What the universe seems to be doing on a physical level is mirrored in the realm of mathematics. The universe appears to be acting as a product of the mind. Was mathematics a human invention? If your answer is yes, then How does something that is purely a product of the mind appear in the wild? How does it fit into the outside world?
In every corner of physics, we find things that people think are familiar to us. Concepts that would never appear in the world of mathematics. But the things they do, with crazy, non-intuitive principles and things that people would never dream of seeing in a mathematics journal, are exactly what is needed to describe what is going on in the world. . You can almost explain it with a syllogism: Premise 1: Mathematical entities are products of mind. Premise 2: The universe operates according to mathematical entities.
Now we. With this realm of abstract concepts and relationships, an infinite logical landscape we have direct access through our minds, yet, despite being immaterial, this realm somehow seems to guide the behavior of things in the physical world. Inevitable. Something like a brain runs the world, providing the framework and trajectory for physical reality.