# Emergence and Correspondence for String Theory Black Holes

## TL;DR

This paper analyzes the conceptual foundations of string theory's approach to black hole entropy, focusing on the Strominger-Vafa calculation and the role of duality and quantum-classical correspondence in understanding black hole microstates.

## Contribution

It provides a philosophical and historical analysis of the emergence and interpretation of black hole microstates in string theory, emphasizing the role of duality and correspondence principles.

## Key findings

- Assessment of black hole emergence from D-brane systems
- Analysis of duality's role in the Strominger-Vafa argument
- Comparison of quantum-to-classical correspondence in string theory and old quantum theory

## Abstract

This is one of a pair of papers that give a historical-\emph{cum}-philosophical analysis of the endeavour to understand black hole entropy as a statistical mechanical entropy obtained by counting string-theoretic microstates. Both papers focus on Andrew Strominger and Cumrun Vafa's ground-breaking 1996 calculation, which analysed the black hole in terms of D-branes. The first paper gives a conceptual analysis of the Strominger-Vafa argument, and of several research efforts that it engendered. In this paper, we assess whether the black hole should be considered as emergent from the D-brane system, particularly in light of the role that duality plays in the argument. We further identify uses of the quantum-to-classical correspondence principle in string theory discussions of black holes, and compare these to the heuristics of earlier efforts in theory construction, in particular those of the old quantum theory.