Contents

1 Introduction
2 Setup
3 Three Exact Theorems
4 Fermion Spin Structure
5 Fermion Complexity Classes
6 The n=2 Fermion: Leptons
6.1 Charged lepton (m = 1)
6.2 Neutral fermion (m = 0)
7 The n=3 Fermion: Quarks and Confinement
7.1 Fractional occupancy
7.2 Colour structure (m = 1)
7.3 Scalar sector (m = 0)
8 Confinement from Mixed Symmetry
9 The Fermion Classification
10 Mass and the Missing Generation Index
11 Discussion
11.1 Why we only observe fermions
11.2 What the open problems reduce to
11.3 The three genuine open problems
11.4 The relationship between geometric and codec layers
12 Open Problems
13 Summary of Results
14 Conclusion