Triangles and the Constants: A Relational Derivation
“The only thing that counts in the definition of worlds are the values of the dimensionless constants of Nature.” — M.J. Duff The Challenge Can we explain the fundamental constants of physics using only relational ideas? Not approximate them, not fit them—derive them from the requirement that distinction exists at all? This is the biggest […]
Triangles and Grokking: How Neural Networks Discover Modular Arithmetic
The geometric structure hidden in addition mod p Prerequisites: Key Concepts for Newcomers Before diving in, let’s establish clear definitions for readers unfamiliar with machine learning or modular arithmetic. What is Modular Addition? Modular addition is “clock arithmetic.” When numbers reach a limit, they wrap around to zero. Think of a clock face with 12 […]