A Unit Cell of Quantum Gravity

Abstract

Using only the most basic elements of Planck scale dynamics, it is possible to derive a large body of knowledge.  The key is to discern what comprises a minimal unit cell that incorporates both extent and curvature.  This notion arises in the context of Bekenstein-Hawking entropy, where the entropy of a black hole is seen to vary with the surface area in discrete units 4 times the smallest area that is bounded by the Planck length.  This paper explains why this fundamental relation for black holes shows us the unit cell for quantum gravity.