%0 Journal Article %T Quantum matter in quantum space-time %A Martin Bojowald %A Golam Mortuza Hossain %A Mikhail Kagan %A Casey Tomlin %J Physics %D 2013 %I arXiv %X Quantum matter in quantum space-time is discussed using general properties of energy-conservation laws. As a rather radical conclusion, it is found that standard methods of differential geometry and quantum field theory on curved space-time are inapplicable in canonical quantum gravity, even at the level of effective equations. %U http://arxiv.org/abs/1302.5695v2