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Conformal Factor in Canonical Quantum Gravity
Soryushiron Kenkyu Electronics, 1990 openaire +1 more source
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Graduate Texts in Physics, 2017
Letting aside temporarily the possibility to unify all forces in a single consistent framework, a question one can ask oneself is whether quantum mechanics can resolve a particular singularity, such as the big bang or that inside a black hole.
Gianluca Calcagni, Calcagni Gianluca
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Letting aside temporarily the possibility to unify all forces in a single consistent framework, a question one can ask oneself is whether quantum mechanics can resolve a particular singularity, such as the big bang or that inside a black hole.
Gianluca Calcagni, Calcagni Gianluca
exaly +2 more sources
Canonical quantum gravity and consistent discretizations
Pramana - Journal of Physics, 2004 This paper covers some developments in canonical quantum gravity that occurred since ICGC-2000, emphasizing the recently introduced consistent discretizations of general ...
Rodolfo Gambini +2 more
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Functional integrals and canonical quantum gravity
Physical Review D, 1992The functional-integral sum-over-histories formulation of quantum gravity in the canonical Arnowitt-Deser-Misner formalism is examined. Reduced phase-space quantization (RPSQ) is contrasted with Dirac quantization (DQ). While it does not appear that RPSQ is even defined for gravity, there do exist minisuperspace models in which different ...
, Guven, , Ryan
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Time and the interpretation of canonical quantum gravity
Physical Review D, 1989The unsatisfactory status of the interpretation of the wave function of the Universe in canonical quantum gravity is reviewed. The ``naive interpretation'' obtained by straightforwardly applying the standard interpretive rules to the canonical quantization of general relativity is manifestly unacceptable; the ``WKB interpretation'' has only a limited ...
, Unruh, , Wald
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On the canonical approach to quantum gravity
Physical Review D, 1982General relativity has the property that, under the natural projection mapping, the image of the constraint surface in the phase space is a proper subset of the configuration space. This feature is not shared by other field theories of direct physical interest such as the Yang-Mills theory, nor by constrained systems which have been modeled after ...
Abhay Ashtekar, Gary T. Horowitz
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Canonical approach to quantum gravity
Classical and Quantum Gravity, 1987Summary: Dirac's canonical programme for the quantization of gravity is discussed. The order of operators in the `kinetic' part of the generator of normal deformations, \(\hat H_{\perp}\), is chosen to give the Laplace-Beltrami form. This follows from the requirement of invariance of the quantum theory under arbitrary contact transformations of the ...
Christodoulakis, Theodosios +1 more
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Unimodular theory of canonical quantum gravity
Physical Review D, 1989Einstein's theory of gravity is reformulated so that the cosmological constant becomes an integration constant of the theory, rather than a "coupling" constant. However, in the Hamiltonian form of the theory, the Hamiltonian constraint is missing, while the usual momentum constraints are still present.
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1992
Dirac’s theory of constrained Hamiltonian systems is first described, discussing in detail primary and secondary constraints, first-class and second-class constraints, Dirac brackets, effective Hamiltonian, total Hamiltonian and extended Hamiltonian. On quantization, the operator versions of first-class constraints become supplementary conditions on ...
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Dirac’s theory of constrained Hamiltonian systems is first described, discussing in detail primary and secondary constraints, first-class and second-class constraints, Dirac brackets, effective Hamiltonian, total Hamiltonian and extended Hamiltonian. On quantization, the operator versions of first-class constraints become supplementary conditions on ...
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A constraint on canonical quantum gravity?
Nature, 2003Gamma rays from the γ-ray burst (GRB) 021206 have been reported to be strongly linearly polarized1, with the estimated degree of polarization (80 ± 20%) being close to the absolute maximum of 100% — affording us the opportunity to constrain models of quantum gravity, which has had 1010 years to act on the photons as they travelled towards us.
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