Results 11 to 20 of about 475,708 (204)
Detecting deformed commutators with exceptional points in optomechanical sensors
New Journal of Physics, 2021 Models of quantum gravity imply a modification of the canonical position-momentum commutation relations. In this paper, working with a binary mechanical system, we examine the effect of quantum gravity on the exceptional points of the system.
Dianzhen Cui +3 more
doaj +1 more source
Studies in Applied Mathematics, Volume 150, Issue 1, Page 254-276, January 2023., 2023 Abstract We consider the highly oscillatory integral F(w):=∫−∞∞eiw(tK+2+eiθtp)g(t)dt$F(w):=\int _{-\infty }^\infty e^{iw(t^{K+2}+e^{i\theta }t^p)}g(t)dt$ for large positive values of w, −π<θ≤π$-\pi <\theta \le \pi$, K and p positive integers with 1≤p≤K$1\le p\le K$, and g(t)$g(t)$ an entire function.
Chelo Ferreira +2 more
wiley +1 more source
Space–Time Physics in Background-Independent Theories of Quantum Gravity
Universe, 2021 Background independence is often emphasized as an important property of a quantum theory of gravity that takes seriously the geometrical nature of general relativity.
Martin Bojowald
doaj +1 more source
Einstein and Jordan-Frame Covariant Hamiltonians for F(R) Gravity and Their Canonical Relationships [PDF]
, 2022 This paper is devoted to the analysis of the covariant canonical formalism of $F(R)$ gravity in Einstein frame. We also find canonical transformation between covariant canonical formulation of F(R) gravity in Jordan frame and Einstein frames and we also determine corresponding generating function.
arxiv +1 more source
Fundamental length scale and the bending of light in a gravitational field
European Physical Journal C: Particles and Fields, 2022 The canonical approach to quantizing quantum gravity is understood to suffer from pathological non-renomalizability. Nevertheless in the context of effective field theory, a viable perturbative approach to calculating elementary processes is possible ...
Philip Tee, Nosratollah Jafari
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Clocks and Trajectories in Quantum Cosmology
Universe, 2022 We consider a simple cosmological model consisting of an empty Bianchi I Universe, whose Hamiltonian we deparametrise to provide a natural clock variable. The model thus effectively describes an isotropic universe with an induced clock given by the shear.
Przemysław Małkiewicz +2 more
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Hamiltonian Renormalization V: Free Vector Bosons
Frontiers in Astronomy and Space Sciences, 2021 In a recent proposal we applied methods from constructive QFT to derive a Hamiltonian Renormalization Group in order to employ it ultimately for canonical quantum gravity.
K. Liegener, T. Thiemann
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Canonical analysis of covariant unimodular gravity and an extension of the Kodama state [PDF]
Phys. Rev. D 104, 086029 (2021), 2021 We carry out the canonical analysis of a covariant version of unimodular gravity in terms of the connection representation. We then proceed to quantize this theory by implementing the Dirac procedure. We confirm whether and how the Kodama state, which is a solution of quantum general relativity, can be extended into covariant unimodular gravity ...
arxiv +1 more source
Graph coherent states for loop quantum gravity [PDF]
Phys. Rev. D 101, 124022 (2020), 2020 In this article we further investigate the construction of graph coherent states, first introduced in [1], in the context of loop quantum gravity. We specifically investigate the possibility of defining a family of graph coherent states adapted to the canonical loop quantum gravity Hamiltonian.
arxiv +1 more source
Canonical quantum gravity and consistent discretizations [PDF]
Pramana63:755-764,2004, 2004 This is a summary of the talk presented by JP at ICGC2004. It covered some developments in canonical quantum gravity occurred since ICGC2000, emphasizing the recently introduced consistent discretizations of general relativity.
arxiv +1 more source