Mathematical Universe Hypothesis (MUH)
Various geometries have been thought to hold the keys to the universe. Johannes Kepler modeled the solar system with Platonic Solids such as the dodecahedron. Large Lie groups, like E8, may someday help us create a unified theory of physics.
Even Galileo in the seventeenth century suggested that "nature's great book is written in mathematical symbols." In the 1960s, physicist Eugene Wigner was impressed with the "unreasonable effectiveness of mathematics in the natural sciences."
Mathematical Universe Hypothesis (MUH) that states that our physical reality is a mathematical structure and that our universe is not just described by mathematics- it is mathematics.
Max Tegmark, who publishes articles about MUH, notes that when we consider equations like 1 + 1 = 2, the notations on the numbers are relatively unimportant when compared to the relationships that are being described. He believes that "we don't invent mathematical structures - we discover them, and invent only the notation for describing them."
His Hypothesis implies that "we all live in a gigantic mathematical object - one that is more elaborate than a dodecahedron, and probably also more complex than objects with intimidating names like Calabai-Yai manifolds, tensor bundles, and Hilbert spaces, which appear in today's most advanced theories. Everything in the world is mathematical - including you."
If this idea seems counterintuitive, this shouldn't be surprising, because many modern theories, like quantum theory and relativity, can defy intuition. As mathematician Ronald Graham once said, "Our brains have evolved to get us out of the rain, find where the berries are, and keep us from getting killed. Our brains did not evolve to help us grasp really large numbers or to look at things in a hundred thousand dimensions."