Quantum matter in quantum space-time
Martin Bojowald, Golam Mortuza Hossain, Mikhail Kagan, Casey Tomlin
TL;DR
This paper explores the behavior of quantum matter within quantum space-time, revealing that traditional geometric and quantum field theory methods fail in canonical quantum gravity, even at effective levels.
Contribution
It demonstrates that standard differential geometry and quantum field theory approaches are inapplicable in canonical quantum gravity, challenging existing frameworks.
Findings
Standard methods are inapplicable in canonical quantum gravity
Energy conservation laws are central to the analysis
Quantum matter behaves differently in quantum space-time
Abstract
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.
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