On the canonical approach to quantum gravity

摘要: General relativity has the property that, under natural projection mapping, image of constraint surface in phase space is a proper subset configuration space. This feature not shared by other field theories direct physical interest such as Yang-Mills theory, nor constrained systems which have been modeled after general and analyzed detail. Therefore, to gain insight into this feature, new example with finite number degrees freedom introduced quantized. The analysis suggests canonical approach, reduced phase-space method likely yield an incomplete description quantum gravity. In particular, contrary indication provided method, gravity may admit states negative energies.