# A spacetime discretization and black holes properties in a holographic representation

## TL;DR

This paper presents a semi-classical spacetime discretization model that reproduces black hole thermodynamics and explores their properties through holography, suggesting a convergence between general relativity and quantum physics.

## Contribution

It introduces a simple spacetime discretization approach applying quantum principles to derive black hole thermodynamics without Einstein equations and incorporates holography to analyze black hole information.

## Key findings

- Reproduces thermodynamical relations of black holes without Einstein equations
- Proposes black holes as objects maximizing energy and information density
- Suggests a link between quantum physics and general relativity in black hole context

## Abstract

We investigate the black holes properties with a very simple and semi-classical model of spacetime discretization. In this context, we apply the Heisenberg's uncertainty principle and the equipartition energy theorem to thereto, obtaining the same thermodynamical relation of general relativity, without resorting to the Einstein field equations. This fact, show us a possible clue of convergence between general relativity and quantum physics, which we believe becomes manifest in this class of compact objects. Finally, we apply the holographic principle to thereto, introducing the concept of surface information density and advancing the idea that black holes can be considered as very simple objects, which maximize the energy and the information content for unit of spacetime.