1 A defragmented Dirac equation

Abstract It is possible to reconstruct a ‘defragmented ’ Dirac equation in such a way as to generate automatic second quantization, supersymmetry without extra particles, finite energy of the free state without renormalization, propagators without an infrared divergence, string theory without strings, explicit state vectors for fermions, bosons and baryons, symmetry breaking between the weak, strong and electric interactions, quark confinement and automatic baryonic mass. Even the Dirac equation itself becomes unnecessary, as the entire information required to determine phase and amplitude becomes compactified within a single expression for the Dirac state. 1 Defragmenting the Dirac equation To acquire a more profound understanding of the fermionic state, we need first to acquires a more profound understanding of the Dirac equation. The Dirac equation, as conventionally written, (γµ∂µ + im) ψ = 0, is the fundamental basis of particle physics, but it is inconvenient in many ways. The main problems relate to its asymmetric structure. Thus the operator (γµ∂µ + im) is a 4 ×