Pauli Exclusion as Finite Address Protection: Collision-Free Fermionic Occupancy, Structural Diversity, and Stable Matter in Finite Distinction Systems

Yining Wu · 2026-05-19

Interprets Pauli exclusion as a collision-free occupancy rule for fermionic mode addresses. Nilpotency (a_i^dag)^2 = 0 protects address-level occupancy events: a second identical fermionic mode-occupancy event cannot be written into an already occupied address. Shows this produces forced structural diversity, atomic shell structure, chemical diversity, degeneracy pressure, and stable bulk matter. Treats p=1 as a minimality bridge for ordinary Standard Model fermions, with generalized statistics (anyons, parastatistics) as caveat rather than refutation. Includes modern PEP-violation constraints from VIP-2, Gator, and Majorana Demonstrator.

@misc{wu2026fdsx4,
  author = {Yining Wu},
  title = {Pauli Exclusion as Finite Address Protection: Collision-Free Fermionic Occupancy, Structural Diversity, and Stable Matter in Finite Distinction Systems},
  year = {2026},
  doi = {10.5281/zenodo.20278029},
}