Quantum torsion and a Hartle-Hawking beam

In the Einstein-Cartan framework torsion-free conditions arise within Hamiltonian treatment as second-class constraints. The standard strategy is to solve these constraints, eliminating torsion from classical theory, before quantization. Here we advocate leaving inside other constraints quantization, leading at first wave functions that can be called ``kinematical'' with regards torsion, but not condition then imposed a upon physical packets one constructs, satisfying usual uncertainty relations, and so room for quantum fluctuations in torsion. This alternative has surprising effect of clarifying sense which solving an explicitly real theory are ``delta-function normalizable''. Such solutions zero (or any fixed) should interpreted plane waves space. Properly constructed therefore normalizable sense. Given they canonical duals, this statement applies equally well Chern-Simons state (connection representation) Hartle-Hawking function (metric representation). We show how, when taken into account, replaced by Gauss-Airy function, finite norm, call beam. state, instead, becomes packet Gaussian probability distribution connection conclude paper two sections explaining how generalize results beyond minisuperspace.