Blackbody Distribution for Wormholes

Abstract

By assuming that only (i) bilocal vertex operators which are diagonal with respect to the basis for local field operators, and (ii) the convergent elements with nonzero positive energy of the density matrix representing the quantum state of multiply-connected wormholes, contribute the path integral that describes the effects of wormholes on ordinary matter fields at low energy, it is obtained that the probability measure for multiply connected wormholes with nondegenerate energy spectrum is given in terms of a Planckian probability distribution for the momenta of a quantum field $\frac{1}{2}α^ {2}$, where the $α$'s are the Coleman parameters, rather than a classical gaussian distribution law, and that an observable classical universe can exist if, and only if, such multiply connected wormholes are allowed to occur.