Back to Search
Start Over
Quantum Cauchy surfaces in canonical quantum gravity.
- Source :
-
Classical & Quantum Gravity . 9/22/2016, Vol. 33 Issue 18, p1-1. 1p. - Publication Year :
- 2016
-
Abstract
- For a Dirac theory of quantum gravity obtained from the refined algebraic quantization procedure, we propose a quantum notion of Cauchy surfaces. In such a theory, there is a kernel projector for the quantized scalar and momentum constraints, which maps the kinematic Hilbert space into the physical Hilbert space . Under this projection, a quantum Cauchy surface isomorphically represents a physical subspace with a kinematic subspace . The isomorphism induces the complete sets of Dirac observables in , which faithfully represent the corresponding complete sets of self-adjoint operators in . Due to the constraints, a specific subset of the observables would be ‘frozen’ as number operators, providing a background physical time for the rest of the observables. Therefore, a proper foliation with the quantum Cauchy surfaces may provide an observer frame describing the physical states of spacetimes in a Schrödinger picture, with the evolutions under a specific physical background. A simple model will be supplied as an initiative trial. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02649381
- Volume :
- 33
- Issue :
- 18
- Database :
- Academic Search Index
- Journal :
- Classical & Quantum Gravity
- Publication Type :
- Academic Journal
- Accession number :
- 117856331
- Full Text :
- https://doi.org/10.1088/0264-9381/33/18/185009