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The standard toolkit of operators to probe quanta of geometry in loop quantum gravity consists in area and volume operators as well as holonomy operators. New operators have been defined, in the U(N) framework for intertwiners, which allow…

广义相对论与量子宇宙学 · 物理学 2018-10-24 Christophe Goeller , Etera R. Livine

The ingoing and outgoing null expansions associated to a spatial 2-sphere are quantized in the spherically symmetric model of loop quantum gravity. It is shown that the resulting expansion operators are self-adjoint in the kinematical…

广义相对论与量子宇宙学 · 物理学 2026-04-22 Xiaotian Fei , Gaoping Long , Yongge Ma , Cong Zhang

The kinematical setting of spherically symmetric quantum geometry, derived from the full theory of loop quantum gravity, is developed. This extends previous studies of homogeneous models to inhomogeneous ones where interesting field theory…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Martin Bojowald

There are two strong clues about the quantum structure of spacetime and the gravitational dynamics, which are almost universally ignored in the conventional approaches to quantize gravity. The first clue is that null surfaces exhibit…

广义相对论与量子宇宙学 · 物理学 2020-01-17 T. Padmanabhan

In loop quantum gravity the quantum states of a black hole horizon are produced by point-like discrete quantum geometry excitations (or {\em punctures}) labelled by spin $j$. The excitations possibly carry other internal degrees of freedom…

广义相对论与量子宇宙学 · 物理学 2015-06-17 Amit Ghosh , Karim Noui , Alejandro Perez

We study the "improved dynamics" for the treatment of spherically symmetric space-times in loop quantum gravity introduced by Chiou {\em et al.} in analogy with the one that has been constructed by Ashtekar, Pawlowski and Singh for the…

广义相对论与量子宇宙学 · 物理学 2020-10-28 R. Gambini , J. Olmedo , J. Pullin

It is possible to obtain the gravitational field equations in a large class of theories from a thermodynamic variational principle which uses the gravitational heat density $\mathcal{S}_g$ associated with null surfaces. This heat density is…

广义相对论与量子宇宙学 · 物理学 2015-07-31 Dawood Kothawala , T. Padmanabhan

This series of works revisits the geometry, dynamics, and covariant phase space of spherically symmetric spacetimes with the aim of exploring the thermodynamics of spacetime from their dynamical properties. In this first paper, we examine…

广义相对论与量子宇宙学 · 物理学 2026-01-07 Puttarak Jai-akson , Yuki Yokokura

In loop quantum gravity, the area element of embedded spatial surfaces is given by a well-defined operator. We further characterize the quantized geometry of such surfaces by proposing definitions for operators quantizing scalar curvature…

广义相对论与量子宇宙学 · 物理学 2018-09-26 David Grüber , Hanno Sahlmann , Thomas Zilker

We provide a quantization of the Schwarzschild spacetime in the presence of a cosmological constant, based on midisuperspace methods developed in the spherically symmetric sector of loop quantum gravity, using in particular the 'improved…

广义相对论与量子宇宙学 · 物理学 2025-03-11 Esteban Mato , Javier Olmedo , Sahil Saini

Gott spacetime has closed timelike curves, but no locally anomalous stress-energy. A complete orthonormal set of eigenfunctions of the wave operator is found in the special case of a spacetime in which the total deficit angle is $2\pi$. A…

高能物理 - 理论 · 物理学 2009-10-22 David G. Boulware

We present a new method for constructing operators in loop quantum gravity. The construction is an application of the general idea of "coherent state quantization", which allows one to associate a unique quantum operator to every function…

广义相对论与量子宇宙学 · 物理学 2015-11-18 Emanuele Alesci , Andrea Dapor , Jerzy Lewandowski , Ilkka Makinen , Jan Sikorski

Loop quantum cosmology (LQC) is very powerful to deal with the behavior of early universe. And the effective loop quantum cosmology gives a successful description of the universe in the semiclassical region. We consider the apparent horizon…

广义相对论与量子宇宙学 · 物理学 2010-04-15 Li-Fang Li , Jian-Yang Zhu

Using spin 1/2 particle elastic scattering on a fixed target, in a 1/|x| potential on Euclidean metric, a minimum scattering cross section appears from the spin contribution. Interpreted as semi-classical limit of an earlier proposed…

综合物理 · 物理学 2008-12-02 Jens Köplinger

Taking the mass, charge, hair parameter, and cosmological constant of the 5-dimensional de Sitter hairy spacetime as the state variables of a thermodynamic system, and based on the satisfaction of the universal first law of thermodynamics,…

高能物理 - 理论 · 物理学 2025-11-12 Shan-Xia Bao , Ren Zhao , Yun-Zhi Du

In the light of recent interest in quantum gravity in de Sitter space, we investigate semi-classical aspects of 4-dimensional Schwarzschild-de Sitter space-time using the method of complex paths. The standard semi-classical techniques (such…

广义相对论与量子宇宙学 · 物理学 2009-11-10 S. Shankaranarayanan

Motivated by both concepts of R.J. Adler's recent work on utilizing Clifford algebra as the linear line element $ds = \left\langle \gamma_\mu \right\rangle dX^\mu $, and the fermionization of the cylindrical worldsheet Polyakov action, we…

高能物理 - 理论 · 物理学 2016-04-27 Hsu-Wen Chiang , Yao-Chieh Hu , Pisin Chen

We obtain the spectra of codimension-2 horizon "edge" degrees of freedom for gravity and higher-spin gauge fields in de Sitter space and in the static Nariai spacetime, advancing previous Lorentzian and Euclidean analyses of one-loop…

高能物理 - 理论 · 物理学 2026-04-15 Y. T. Albert Law , Varun Lochab

Area metrics and area metric backgrounds provide a unified framework for quantum gravity. They encode physical degrees of freedom beyond those of a metric. These non-metric degrees of freedom must be suppressed by a potential at…

高能物理 - 理论 · 物理学 2024-08-20 Johanna Borissova , Pei-Ming Ho

We present a canonical quantization framework for static spherically symmetric spacetimes described by the Einstein-Hilbert action with a cosmological constant. In addition to recovering the classical Schwarzschild-(Anti)-de Sitter…

广义相对论与量子宇宙学 · 物理学 2026-03-03 Benjamin Koch , Ali Riahinia