# A Minimal black hole entropy

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1. Mar 8, 2016

### kskostik

If we plug the Planck mass into the Bekenstein-Hawking formula for the BH entropy, we'll get S = A/4l^2 = 4πGM^2/cħ = 4π ≈ 12.56 nat for the minimal Schwartzschild black hole.

If we assume that each entropy unit is a compact area on the horizon, can we consider the minimal BH a dodecahedron, e.g. a rhombic dodecahedron? Can minimal entropy of the BH indicate the topology of a spacetime voxel?

Does minimal entropy of a BH mean that the minimal unit of spacetime is what limits the size a BH into which a mass can collapse?

Last edited: Mar 8, 2016
2. Mar 13, 2016