On The Size of The Graviton

TL;DR

This paper proposes an approximate wavefunction for a bound state of N D0-branes, showing its spread grows with N^{1/3}, reaching Polchinski's bound, which provides insights into the size scaling of such quantum states.

Contribution

It introduces a new approximate wavefunction for N D0-branes and demonstrates its size scaling behavior, aligning with theoretical bounds.

Findings

Wavefunction spread scales as N^{1/3} per particle

Size saturates Polchinski's bound

Provides a new perspective on bound state sizes in string theory

Abstract

We propose an approximate wavefunction of the bound state of $N$ $D0$-branes. Its spread grows as $N^{1\over 3}$ per particle, i.e. it saturates the Polchinski's bound.