The Monadic Electron Universe: A Single Braided Worldline Approach to Spin-½, Multi-Fermion States, and Pauli Exclusion

We revisit the classic Wheeler–Feynman “one-electron universe” speculation—where all electrons and positrons are manifestations of a single zigzagging worldline in 4D spacetime—and develop it into a rigorous framework using worldline methods and Grassmann variables to account for spin-½. We show how: Dirac spinors and the standard QED fermion propagator naturally emerge from a single, braided worldline with local supersymmetry (the “spinning particle” formalism). The Pauli exclusion principle arises from topological and Grassmann constraints, eliminating the need to impose antisymmetrization by hand. Multi-electron processes (e.g., scattering, multi-point correlators) appear as segments of the same cosmic thread, reproducing the usual results of second-quantized QED. The Schwinger correction to the electron’s magnetic moment (g−2) arises from loop-like self-interactions of the worldline, demonstrating the calculational power of the framework. Gauge interactions are generalized to non-Abelian symmetry via color-carrying Grassmann variables, allowing confinement and asymptotic freedom to emerge geometrically. Knot invariants and topological quantum numbers (e.g., Gauss linking number, Jones polynomial) provide a new layer of observable structure, predicting testable deviations in spectroscopy, scattering, and quantum interference. This single-entity picture remains fully consistent with known quantum field theory yet offers a fresh geometric/topological interpretation of fermionic statistics, gauge invariance, and the role of spin—all within 3+1-dimensional spacetime, echoing Penrose’s insistence on retaining geometric intuition and building on our earlier work reinterpreting the “one-electron universe” hypothesis [Bizri, 2025],. We also propose a shift in this framework—from reinterpretation to prediction—and outline how this model could unify aspects of the Standard Model in a purely topological and spacetime-realistic manner.