Statistical Mechanics of Wormholes

TL;DR

This paper explores the statistical mechanics of a gas of Einstein-Kalb-Ramond wormholes, analyzing their properties and behavior within the bootstrap model framework, and briefly discusses quantum wormhole scattering.

Contribution

It introduces a model of wormholes derived from black hole metrics with Kalb-Ramond fields and examines their statistical mechanics and bootstrap behavior.

Findings

Wormholes obey bootstrap conditions only under extreme energy and charge distributions.

The model relates wormhole parameters to mass density, tension, and pressure.

Brief comments on quantum wormhole scattering are included.

Abstract

The statistical mechanics of a gas of Einstein-Kalb-Ramond wormholes is studied in this paper. The wormholes studied are the result of sewing together two Reissner-Nordstrom-type black hole metrics at their horizons. By requiring the stress-energy tensor associated with this geometry to be that of a Kalb-Ramond field, we obtain the mass and Kalb-Ramond `charge` of the wormholes in terms of the parameters describing the mass density, tension and pressure. We investigate the statistical mechanics of this system of wormholes within the context of the statistical bootstrap model. A gas of such wormholes is found to obey the bootstrap condition only for an extreme, non-thermodynamic, energy and `charge` distribution among the particles. We comment briefly on the scattering of quantum wormholes.