A fundamental problem in quantizing general relativity
arXiv:1807.01307 · doi:10.1007/s10701-019-00311-w
Abstract
We point out a fundamental problem that hinders the quantization of general relativity: quantum mechanics is formulated in terms of systems, typically limited in space but infinitely extended in time, while general relativity is formulated in terms of events, limited both in space and in time. Many of the problems faced while connecting the two theories stem from the difficulty in shoe-horning one formulation into the other. A solution is not presented, but a list of desiderata for a quantum theory based on events is laid out.
3.4 pages, one figure
References in corpus (9)
- Attosecond double-slit experiment
- Closed timelike curves via post-selection: theory and experimental demonstration
- The quantum mechanics of time travel through post-selected teleportation
- Quantum clocks observe classical and quantum time dilation
- Evolution without evolution, and without ambiguities
- Quantum-first gravity
- Quantum cellular automata and free quantum field theory
- Multi-Time Wave Functions versus Multiple Timelike Dimensions
- Reverse Engineering Quantum Field Theory
Cited by in corpus (9)
- Quantum Correlations and Quantum Non-locality: a review and a few new ideas
- Temporal teleportation with pseudo-density operators: how dynamics emerges from temporal entanglement
- Geometric Event-Based Relativistic Quantum Mechanics
- Time Observables in a Timeless Universe
- A model of quantum spacetime
- A quantum formalism for events and how time can emerge from its foundations
- Can quantum non-locality be connected to extra-dimensions?
- Including topology change in Loop Quantum Gravity with topspin network formalism with application to homogeneous and isotropic cosmology
- The Derivation of Phase-Space Metric in a Geometric Quantization Approach: General Relativity with Quantized Phase-Space Metric and Relative Spacetime