Deriving the Electron-Muon Mass Ratio from First Principles: A PQIS Approach

We present a well developed derivation of the electron-muon mass ratio from first principles using the Pentagonal Quantum Information Substrate (PQIS) framework. Our approach requires no arbitrary fitting parameters, instead showing how this fundamental constant emerges naturally from the mathematical structure of quantum information theory with pentagonal symmetry. We demonstrate that the ratio m_μ/m_e = 206.77 arises from a combination of the golden ratio (φ ≈ 1.618), effective dimensionality, geometry, and precisely determined correction factors. The derivation connects representation theory, category theory, and quantum error correction in a unified framework. Our approach successfully predicts additional particle physics parameters and offers experimentally testable consequences, suggesting that fundamental constants are not arbitrary but emerge necessarily from deeper mathematical principles.