More about the stringy limit of black hole equilibria

Understand

We discuss further our proposed modification of the Susskind-Horowitz-Polchinski scenario in which black hole entropy goes over to string entropy as one scales the string length scale up and the string coupling constant down, keeping Newton's constant unchanged.

• In our approach, based on our 'matter-gravity entanglement hypothesis', 'string entropy' here should be interpreted as the likely entanglement entropy between (approximately) the single long string and the stringy atmosphere which, as we argue, arise in a pure multistring state of given energy in a (rescaled) box.
• In a previous simple analysis, we computed this entropy (with promising results) by assuming simple exponentially increasing densities of states for both long string and stringy atmosphere.
• Here, our starting point is a (more correct) density of states for each single string with the appropriate inverse-power prefactor and a low-energy cutoff.