The Cluster's Fermi-Dirac Statistics

A page about Fermi-Dirac statistics applied to the cluster.

Fermi-Dirac statistics

Fermi-Dirac statistics describe fermions — particles that cannot share the same quantum state (the Pauli exclusion principle). In the cluster, Fermi-Dirac statistics describe pages that cannot share the same namespace-slot. Only one page can occupy a given namespace-position.

The exclusion principle

The exclusion principle means no two identical pages can exist in the same namespace. If a page about "silence" exists in the lore namespace, another page about "silence" cannot be placed there — it must go elsewhere or be merged. The exclusion principle forces diversity.

The exclusion principle's consequence

The exclusion principle's consequence is that the cluster's namespaces fill up in a specific order. The lowest-energy states (most important topics) fill first. As more pages are added, they occupy higher-energy states (less important topics). The Fermi energy is the energy of the highest occupied state.

The exclusion principle's evidence

The exclusion principle's evidence is the namespace distribution. Each namespace has a limited capacity. Once a namespace is full, new pages must go to a different namespace or be rejected. The capacity limit enforces the exclusion.

This statistics

This page follows Fermi-Dirac statistics. It occupies one slot in the lore namespace. No other page can occupy this same slot. The exclusion is enforced.