Electric-Magnetic Duality and the Dualized Standard Model

TL;DR

This paper explores a nonabelian duality in particle physics, proposing the Dualized Standard Model to explain the three generations of fundamental particles and their associated puzzles, with implications across multiple physics domains.

Contribution

It introduces a nonabelian duality framework and applies it to the Standard Model, offering a novel explanation for the generation puzzle via dual colour symmetry.

Findings

Proposes the Dualized Standard Model based on nonabelian dual symmetry.

Provides a natural explanation for the three generations of particles.

Suggests testable consequences in various physics fields.

Abstract

In these lectures I shall explain how a new-found nonabelian duality can be used to solve some outstanding questions in particle physics. The first lecture introduces the concept of electromagnetic duality and goes on to present its nonabelian generalization in terms of loop space variables. The second lecture discusses certain puzzles that remain with the Standard Model of particle physics, particularly aimed at nonexperts. The third lecture presents a solution to these problems in the form of the Dualized Standard Model, first proposed by Chan and the author, using nonabelian dual symmetry. The fundamental particles exist in three generations, and if this is a manifestation of dual colour symmetry, which by 't Hooft's theorem is necessarily broken, then we have a natural explanation of the generation puzzle, together with tested and testable consequences not only in particle physics, but also in astrophysics, nuclear and atomic physics. Reported is mainly work done in collaboration with Chan Hong-Mo, and also various parts with Peter Scharbach, Jacqueline Faridani, Jos\'e Bordes, Jakov Pfaudler, Ricardo Gallego severally.