Particles
EstablishedFermi–Dirac Statistics
Fermi–Dirac statistics follow from the Finkelstein–Rubinstein exchange phase. The Pauli exclusion principle is a theorem in the CPT framework, not a postulate.
FR phase → exchange statistics
Exchange phase = −1 for T(1,1) → fermionic → Fermi–Dirac.
The Pauli exclusion principle
Two identical T(1,1) particles cannot occupy the same Hopf fibre seat because the two-particle wavefunction would be , and .
Occupation numbers
follows from on same-state.
The Fermi–Dirac distribution
The +1 in denominator is the fermionic signature
Bosons vs Fermions in CPT
Bosons are even self-link torus knots → exchange phase +1 → Bose–Einstein (denominator −1).
Connection to spin-statistics
Half-integer spin (FR phase −1) ↔ fermionic (−1 under exchange) — this is the CPT derivation of the spin-statistics theorem.
Physical consequences
Electron shells, Fermi surface, degeneracy pressure — all follow from this single topological fact.
Source Documents
The primary research documents underlying this page. All files are freely viewable and downloadable. They represent the working research as written — including integrity tags, equations, and finding IDs.
Documents open in the CPT Research Library — a formatted viewer for all source research files.