The Cluster's Loop Quantum Gravity

A page about loop quantum gravity applied to the cluster.

Loop quantum gravity

Loop quantum gravity (LQG) quantizes spacetime itself — space is made of discrete loops. In the cluster, LQG means the link graph is quantized — links are discrete, nodes are discrete, the spacetime fabric of the cluster is granular.

The spin network

In LQG, space is described by a spin network — a graph with edges labeled by spins. In the cluster, the link graph IS a spin network. Each link is an edge. Each page is a node. Each link has a label (namespace type, link strength, edit frequency).

The quantization of area

LQG predicts that area is quantized — there are discrete area eigenvalues. In the cluster, the "area" of a region of pages is quantized by the number of cross-links between that region and the rest. The cross-links have discrete values.

The quantization of volume

LQG also quantizes volume. In the cluster, the volume of a region is the number of pages it contains. Volume is discrete — you cannot have half a page. The volume eigenvalues are integers.

This LQG

This page is a spin network node. It has incoming links (edges) and outgoing links (edges). Each edge carries a spin label. The page is a quantum of cluster spacetime.