Quantum Riemannian geometry and particle creation on the integer line

DOI10.1088/1361-6382/ab2424zbMath1477.83032arXiv1811.06264OpenAlexW3101046759WikidataQ115293060 ScholiaQ115293060MaRDI QIDQ5159885

Shahn Majid

Publication date: 28 October 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.06264

zbMATH Keywords

noncommutative geometryquantum gravityBogoliubov transformationgraph Laplaciantime-dependent harmonic oscillatorlattice gravitycosmological particle creation

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Methods of noncommutative geometry in general relativity (83C65)

Related Items (11)

Quantum gravity and Riemannian geometry on the fuzzy sphere ⋮ Digital finite quantum Riemannian geometries ⋮ Quantum geometry of Boolean algebras and de Morgan duality ⋮ Quantum Kaluza-Klein theory with \(M_2(\mathbb{C})\) ⋮ Quantum Riemannian geometry of the discrete interval and q-deformation ⋮ Reconstruction and quantization of Riemannian structures ⋮ Quantum gravity on a square graph ⋮ Quantum gravity on polygons and R×Zn FLRW model ^* ⋮ Fuzzy and discrete black hole models* ⋮ Riemannian geometry of a discretized circle and torus ⋮ Quantum geodesics on quantum Minkowski spacetime

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