Conceptual and technical challenges of quantum gravity
arXiv:2208.08098 · doi:10.1007/s10773-020-04520-2
Abstract
The appearance of infinity together with collapsing quantum state due to the observation or interaction, which are two challenging features of quantum field theory, become very serious problems in quantum gravity as well as in quantum geometry of space-time. These problems can be divided into two categories: technical and conceptual parts. In the technical aspect, the biggest problem comes from the definition of the point, which constructs classical geometry. By changing the point definition, the technical problem may be approximately bypassed, and a mathematical formulation of quantum geometry may be found. On the other hand, the conceptual problem comes from the quantum state collapse due to the observation since the entanglement between the observer and gravity cannot be eliminated in the presence of gravity. The conceptual part does not depend on the techniques which are employed. As much as possible, we try to discuss these problems by rediscovering the perception and understanding of a phenomenon for an observer in quantum theory.
arXiv comment17 pages, typos corrected
References in corpus (30)
- Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
- Two-point Functions and Quantum Fields in de Sitter Universe
- Gupta-Bleuler quantization for minimally coupled scalar fields in de Sitter space
- The dynamics of metric-affine gravity
- Exploring the unification of quantum theory and general relativity with a Bose-Einstein condensate
- Quantum Gravity in the Sky: Interplay between fundamental theory and observations
- "Massless" vector field in de Sitter Universe
- Conformally invariant wave-equations and massless fields in de Sitter spacetime
- De Sitter Supergravity Model Building
- Thin-shell wormholes with a double layer in quadratic F(R) gravity
- Conformal linear gravity in de Sitter space
- Some Reflections on the Status of Conventional Quantum Theory when Applied to Quantum Gravity
- Quantum Field Theory in de Sitter Universe: Ambient Space Formalism
- Hidden Superconformal Symmetry of the Cosmological Evolution
- Discrete Symmetries for Spinor Field in de Sitter Space
- Classical and Quantum Probabilities as Truth Values
- Linear Weyl Gravity in de Sitter Universe
- Covariant and infrared-free graviton two-point function in de Sitter spacetime
- Conformal linear gravity in de Sitter space II
- N=1 de Sitter Supersymmetry Algebra
- Entropy of Quantum Fields in de Sitter Space-time
- Covariant and infrared-free graviton two-point function in de Sitter spacetime II
- Super-gauge Field in de Sitter Universe
- Abelian Gauge Theory in de Sitter Space
- Krein Spaces in de Sitter Quantum Theories
- Linear Gravity in de Sitter universe
- Volume Weighting the Measure of the Universe from Classical Slow-Roll Expansion
- Quantum Linear Gravity in de Sitter Universe On Bunch-Davies vacuum state
- Higgs Field and the Massless Minimally Coupled Scalar Field in de Sitter Universe
- de Sitter super-gravity in ambient space formalism