Symmetry Extensions in High-Energy Physics via Fermion–Boson Duality and Extended Gamma Matrices: A Unified Perspective on Gauge Invariance, Quantum Gravity, and Anomalous Magnetic Moments

This paper proposes a "fermion-boson duality" in which the statistical properties of fermions and bosons reversibly change depending on the energy scale, bringing a new perspective to quantum field theory. We discuss a framework that maintains gauge invariance without requiring gauge fixing or ghost fields, natural connections to gravity theory using 256×256 extended gamma matrices, and applications to the regularization of anomalous magnetic moments and vacuum polarization. We reconfirm the importance of symmetry and duality in high-energy physics and gravity theory, and present experimental verification and future prospects.