A Simple Quantum-Mechanical Model of Spacetime I: Microscopic Properties of Spacetime

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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36 pages. This is the first part in a series of two papers, where the paper gr-qc/0701128 has been divided in two, and largely

Scientific paper

This is the first part in a series of two papers, where we consider a specific microscopic model of spacetime. In our model Planck size quantum black holes are taken to be the fundamental building blocks of space and time. Spacetime is assumed to be a graph, where black holes lie on the vertices. In this first paper we construct our model in details, and show how classical spacetime emerges at the long distance limit from our model. We also consider the statistics of spacetime.

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