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

TL;DR

This paper introduces a microscopic quantum model of spacetime where Planck-scale black holes form the fundamental structure, demonstrating how classical spacetime emerges from quantum properties at large scales.

Contribution

It presents a detailed construction of a quantum-mechanical spacetime model based on black holes as fundamental units, linking microscopic quantum properties to macroscopic classical spacetime.

Findings

Classical spacetime emerges at large distances from the quantum model.

Spacetime is modeled as a graph with black holes at vertices.

The model explores the statistical properties of spacetime.

Abstract

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.