Results 141 to 150 of about 1,549,437 (171)

Canonical approach to quantum gravity

Classical and Quantum Gravity, 1987
Summary: 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, Zanelli, Jorge   +1 more
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Unimodular theory of canonical quantum gravity

Physical Review D, 1989
Einstein'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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Canonical Quantum Gravity

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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A length operator for canonical quantum gravity [PDF]

Journal of Mathematical Physics, 1998
We construct an operator that measures the length of a curve in four-dimensional Lorentzian vacuum quantum gravity. We work in a representation in which an SU(2) connection is diagonal and it is therefore surprising that the operator obtained after regularization is densely defined, does not suffer from factor ordering singularities, and does not ...
exaly   +4 more sources

A constraint on canonical quantum gravity?

Nature, 2003
Gamma 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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Time and complex numbers in canonical quantum gravity

Physical Review D, 1993
It is noted that not only time but also the imaginary unit is absent from the Wheeler-DeWitt equation (WDE), the basic equation of canonical quantum gravity. This leads to a severe problem in an attempt to recover the time-dependent Schrodinger equation from the WDE. It is suggested that the problem will be solved if the WDE is actually complex and not
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Canonical Quantum Gravity on the Space of Vassiliev Invariants

International Journal of Theoretical Physics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Canonical quantization of gravity and quantum geometrodynamics

Soviet Physics Journal, 1986
A representation in the form of the Faddeev-Popov path integral is constructed for solving the equations of quantum geometrodynamics (QGD). It is shown that QGD is equivalent to canonical quantization of gravity in a unitary gauge. Given the state of the gravitational field on the initial Cauchy hypersurface, a wave function of closed universe is ...
A. O. Barvinskii, V. N. Ponomarev
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Epistemology of Loop Quantum Gravity in the Context of Canonical Quantum Gravity

Cunoașterea Științifică
In the quest to comprehend the fundamental nature of the universe, physicists have delved into the realms of quantum mechanics and general relativity. However, joining these two pillars of modern physics into a unified framework has been a longstanding challenge.
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A Simple Factor in Canonical Quantization Yields Affine Quantization Even for Quantum Gravity

Journal of High Energy Physics Gravitation and Cosmology, 2021
John Klauder
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