Fundamentals of quantum gravity

Abstract

The outline of a recent approach to quantum gravity is presented. Novel ingredients include: (1) Affine kinematical variables; (2) Affine coherent states; (3) Projection operator approach toward quantum constraints; (4) Continuous-time regularized functional integral representation without/with constraints; and (5) Hard core picture of nonrenormalizability. The "diagonal representation" for operator representations, introduced by Sudarshan into quantum optics, arises naturally within this program. © 2007 IOP Publishing Ltd.