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We show that under certain technical assumptions, including the existence of a constant mean curvature (CMC) slice and strict positivity of the scalar field, general relativity conformally coupled to a scalar field can be quantised on a…

广义相对论与量子宇宙学 · 物理学 2013-04-25 Norbert Bodendorfer , Alexander Stottmeister , Andreas Thurn

This thesis uses Path Integrals and Green's Functions to study Gravity, Quantum Field Theory and Statistical Mechanics, particularly with respect to: finite temperature quantum systems of different spin in gravitational fields; finite…

高能物理 - 理论 · 物理学 2007-05-23 Igor Kulikov

We review and extend the recently proposed model of combinatorial quantum gravity. Contrary to previous discrete approaches, this model is defined on (regular) random graphs and is driven by a purely combinatorial version of Ricci…

高能物理 - 理论 · 物理学 2020-01-08 C. Kelly , C. A. Trugenberger

Quantum mechanics violates Leggett-Garg inequalities because the operator formalism predicts correlations between different spin components that would correspond to negative joint probabilities for the outcomes of joint measurements.…

量子物理 · 物理学 2015-03-20 Yutaro Suzuki , Masataka Iinuma , Holger F. Hofmann

We compute the entropy of non-extremal black holes using the quantum dynamics of Loop Gravity. The horizon entropy is finite, scales linearly with the area A, and reproduces the Bekenstein-Hawking expression S = A/4 with the one-fourth…

广义相对论与量子宇宙学 · 物理学 2012-04-24 Eugenio Bianchi

This papers offers a critical discussion on the procedure by which Loop Quantum Cosmology (LQC) is constructed from the full Loop Quantum Gravity (LQG) theory. Revising recent issues in preserving SU(2) symmetry when quantizing the…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Francesco Cianfrani , Giovanni Montani

Utilizing Kaniadakis entropy associated with the apparent horizon of the Friedmann-Robertson-Walker (FRW) Universe and applying the emergence of cosmic space paradigm, we deduce the modified Friedmann equation for a non-flat…

广义相对论与量子宇宙学 · 物理学 2024-05-08 Pranav Prasanthan , Sarath Nelleri , Navaneeth Poonthottathil , Sreejith E K

The lateral Casimir force between two corrugated metallic plates makes possible a study of the nontrivial interplay of geometry and Casimir effect appearing beyond the regime of validity of the Proximity Force Approximation (PFA).…

量子物理 · 物理学 2007-06-18 Robson B. Rodrigues , Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

Based on the distinction between the covariant and contravariant metric tensor components in the framework of the affine geometry approach and the s.c. "gravitational theories with covariant and contravariant connection and metrics", it is…

高能物理 - 理论 · 物理学 2008-11-26 Bogdan G. Dimitrov

In this essay, we argue that certain aspects of the measurement require revision in Quantum Gravity. Using entropic arguments, we propose that the number of measurement outcomes and the accuracy (or the range) of the measurement are limited…

高能物理 - 理论 · 物理学 2024-08-28 Juanca Carrasco-Martinez

In this work, it is demonstrated how the kinematical Hilbert space of Loop Quantum Gravity (LQG) can be inferred from the configuration space of BF theories via the imposition of the Hamiltonian constraints. In particular, it is outlined…

广义相对论与量子宇宙学 · 物理学 2015-05-20 Francesco Cianfrani

In this paper, one uses the Tsallis entropy in the impact parameter space to study $pp$ and $\bar{p}p$ inelastic overlap function and the energy density filling up mechanism responsible by the so-called black disk limit as the energy…

高能物理 - 唯象学 · 物理学 2020-01-09 S. D. Campos , V. A. Okorokov , C. V. Moraes

We study the scenario of Kanadiakis horizon entropy cosmology which arises from the application of the gravity-thermodynamics conjecture using the Kaniadakis modified entropy. The resulting modified Friedmann equations contain extra terms…

The quantum gravity path integral's measure can be written as the product of classical backgrounds and quantum fluctuations about each background. After proving that fluctuations about the background do not diffuse in Hilbert space and obey…

广义相对论与量子宇宙学 · 物理学 2013-02-11 C. D. Burton

By reintroducing Lorentz invariance in canonical loop quantum gravity, we define a geometrical notion of temperature for quantum isolated horizons. This is done by demanding that the horizon state satisfying the boundary conditions be a…

广义相对论与量子宇宙学 · 物理学 2014-06-04 Daniele Pranzetti

We perform a canonical, reduced phase space quantisation of General Relativity by Loop Quantum Gravity (LQG) methods. The explicit construction of the reduced phase space is made possible by the combination of 1. the Brown -- Kuchar…

广义相对论与量子宇宙学 · 物理学 2014-11-18 K. Giesel , T. Thiemann

The present thesis is devoted to the non-parametric reconstruction of some cosmological parameters using diverse observational datasets. The Universe is assumed to be spatially homogeneous and isotropic, thus described by the FLRW metric.…

宇宙学与河外天体物理 · 物理学 2022-07-19 Purba Mukherjee

Based on the first-order action for scalar-tensor theories with the Immirzi parameter, the symplectic form for the spacetimes admitting a weakly isolated horizon as internal boundary is derived by the covariant phase space approach. The…

广义相对论与量子宇宙学 · 物理学 2020-07-21 Shupeng Song , Yongge Ma

We show how to extract the $q$ parameter from experimental data, considering an inhomogeneous magnetic system composed by many Maxwell-Boltzmann homogeneous parts, which after integration over the whole system recover the Tsallis…

统计力学 · 物理学 2009-11-11 M. S. Reis , V. S. Amaral , R. S. Sarthour , I. S. Oliveira

In Loop Quantum Gravity (LQG) the quantisation of General Relativity leads to precise predictions for the eigenvalues of geometrical observables like volume and area, up to the value of the only free parameter of the theory, the…

广义相对论与量子宇宙学 · 物理学 2021-01-01 Cássio Pigozzo , Flora S. Bacelar , Saulo Carneiro