Holographic Shell Model: Stack Data Structure inside Black Holes

TL;DR

This paper proposes a holographic shell model where black hole interior information is stored in a stack-like structure, with configurations counted by Catalan numbers, recovering the area entropy formula and its corrections.

Contribution

It introduces a discrete holographic shell model that models black hole information as a stack data structure, providing a new perspective on black hole entropy and information storage.

Findings

Number of configurations given by Catalan series

Reproduction of area entropy with logarithmic correction

Proof of equipartition of mass per degree of freedom

Abstract

We suggest that bits of information inhabit, universally and holographically, the entire black hole interior, a bit per a light sheet unit interval of order Planck area difference. The number of distinguishable (tagged by a binary code) configurations, counted within the context of a discrete holographic shell model, is given by the Catalan series. The area entropy formula is recovered, including the universal logarithmic correction, and the equipartition of mass per degree of freedom is proven. The black hole information storage resembles a stack data structure.