What is Quantum Theory of Gravity

By D. Minic, C. Tze. 2004

1,261 citations recorded by the source corpus.

We present a line by line derivation of canonical quantum mechanics stemming from the compatibility of the statistical geometry of distinguishable observations with the canonical Poisson structure of Hamiltonian dynamics. This viewpoint can be naturally extended to provide a conceptually novel, non-perturbative formulation of quantum gravity. Possible observational implications of this new approach are briefly mentioned.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1fe7aaaea88fbe9b82eca2d00904171fb8f350f7

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Citations in the corpus

Quantum Time (2015, background): “(2) as a constraint that forces the physical vectors to be eigenstates of the total ‘Hamiltonian’ Ĵ with null eigenvalue, consistently with a Wheeler-DeWitt equation [10, 24].”
Loop quantum gravity: an outside view (2005, methodology): “Dynamics is generated via the Hamiltonian constraint, the Wheeler-DeWitt (WDW) equation [63, 64, 65, 66]: H0(x)Ψ[e] = 0 .”
The Asymptotic Safety Scenario in Quantum Gravity (2006, background): “This led to the development of several formulations (canonical, covariant [64, 65, 66], proper time [212, 213], and covariant Euclidean [104, 92]).”
Colloquium: Stimulating uncertainty: Amplifying the quantum vacuum with superconducting circuits (2011, background): “D, our condensed matter analogues cannot faithfully reproduce the full Einstein equations, and the effective metric fluctuations do not provide an analogue of the yet to be determined dynamics expected from the quantum theory of gravity [e.g. the Wheeler-Dewitt equation (DeWitt, 1967)].”
Lessons from the information paradox (2020, background): “This is also true in the quantum theory [74, 75] where the Gauss law is implemented by the Hamiltonian constraint [76].”
Cosmological Billiards (2002, background): “11) define the so-called DeWitt supermetric in the space of the metric coefficients gij [34].”
Quantum cosmology (2008, neutral): “It may be the reason why it forms the content of the first boundary proposal in canonical quantum gravity put forward by DeWitt in 1967 [9].”
Homogeneous loop quantum cosmology (2003, methodology): “In particular, as a first approximation of our universe, which is homogeneous and isotropic at large scales, one often uses a model with a single gravitational degree of freedom, the scale factor or radius a of an isotropic universe [1].”
Lattice Perturbation Theory (2002, methodology): “(10.17) The most effective way of computing the matching between different couplings is provided by background field techniques (De Wit, 1967a; De Wit, 1967a; Abbott, 1981).”
Surface charge algebra in gauge theories and thermodynamic integrability (2007, neutral): “6) The tensor densityP μναβγδ is related to the supermetric defined in [54], which has the symmetries of the Riemann tensor, through 2 n− 2μν μναβγδ = G, (E.”
Reality and the Role of the Wavefunction in Quantum Theory (2011, background): “The fundamental equation for the wave function of the universe in canonical quantum cosmology is the Wheeler-DeWitt equation [7],”
A Postquantum Theory of Classical Gravity? (2018, background): “The failure of the semi-classical Einstein’s equation, has generally been viewed as a reason we must quantise gravity[22, 23].”
Isotropic loop quantum cosmology (2002, methodology): “The original approach to this problem in canonical quantum gravity, which is nonperturbative, was started in [10].”
Inconsistency of islands in theories with long-range gravity (2021, background): “These constraints are commonly divided into what are called the “momentum constraints” and the “Hamiltonian constraint” [99].”