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Extracting shape information from object bound- aries is a well studied problem in vision, and has found tremen- dous use in applications like object recognition. Conversely, studying the space of shapes represented by curves satisfying…

Computer Vision and Pattern Recognition · Computer Science 2016-10-12 Aditya Tatu

It is a tantalising possibility that quantum gravity (QG) states remaining coherent at astrophysical, galactic and cosmological scales could exist and that they could play a crucial role in understanding macroscopic gravitational effects.…

General Relativity and Quantum Cosmology · Physics 2020-07-01 M. Cadoni , M. Tuveri , A. P. Sanna

Quantum gravitational corrections to black holes are studied in four and higher dimensions using a renormalisation group improvement of the metric. The quantum effects are worked out in detail for asymptotically safe gravity, where the…

High Energy Physics - Theory · Physics 2012-03-05 Kevin Falls , Daniel F. Litim , Aarti Raghuraman

We find self-adjoint extensions of the rational Calogero model in presence of the harmonic interaction. The corresponding eigenfunctions may describe the near-horizon quantum states of certain types of black holes.

High Energy Physics - Theory · Physics 2008-11-26 B Basu-Mallick , Pijush K. Ghosh , Kumar S. Gupta

It has recently been suggested that black holes may be described as condensates of weakly interacting gravitons at a critical point, exhibiting strong quantum effects. In this paper, we study a model system of attractive bosons in one…

High Energy Physics - Theory · Physics 2013-04-10 D. Flassig , A. Pritzel , N. Wintergerst

This work explores the intersection of quantum mechanics and curved spacetime by employing the Wigner formalism to investigate quantum systems in the vicinity of black holes. Specifically, we study the quantum dynamics of a probe particle…

General Relativity and Quantum Cosmology · Physics 2026-05-21 David Garcia-Garcia , Jose A. R. Cembranos

For extremal black holes, one can construct simpler, limiting spacetimes that describe the geometry near degenerate horizons. Since these spacetimes are known to have enhanced symmetry, the limiting objects coincide for different solutions.…

General Relativity and Quantum Cosmology · Physics 2017-12-15 Filip Hejda , Jiří Bičák

In this paper we present the status of the physics of Planck scale black holes with particular reference to their conjectured production in particle accelerator experiments at the terascale. After reviewing some open issues of fundamental…

High Energy Physics - Phenomenology · Physics 2017-10-05 Michael Florian Wondrak , Piero Nicolini , Marcus Bleicher

A succinct summary is given of the problem of reconciling observation of black hole-like objects with quantum mechanics. If quantum black holes behave like subsystems, and also decay, their information must be transferred to their…

High Energy Physics - Theory · Physics 2020-07-01 Steven B. Giddings

In the last decade, progress on quantization of homogeneous cosmological spacetimes using techniques of loop quantum gravity has led to insights on various fundamental questions and has opened new avenues to explore Planck scale physics.…

General Relativity and Quantum Cosmology · Physics 2016-12-06 Ivan Agullo , Parampreet Singh

Black holes are more than just odd-looking curiosities in gravity theory. They uniquely intertwine the basic principles of General Relativity with those of Quantum Theory. Just by demanding that they nevertheless obey acceptable laws of…

General Relativity and Quantum Cosmology · Physics 2022-11-28 Gerard t Hooft

We construct quartic quasitopological gravity, a theory of gravity containing terms quartic in the curvature that yields second order differential equations in the spherically symmetric case. Up to a term proportional to the quartic term in…

High Energy Physics - Theory · Physics 2015-05-30 M. H. Dehghani , A. Bazrafshan , R. B. Mann , M. R. Mehdizadeh , M. Ghanaatian , M. H. Vahidinia

Using an improved version of the Newman-Janis algorithm, we obtain metrics of rotating black holes for a set of extended gravity theories that extend general relativity in different ways: the Horndeski model, the bumblebee model, the…

General Relativity and Quantum Cosmology · Physics 2025-03-24 Stanislav Alexeyev , Oleg Zenin , Artem Baiderin

The understanding of black holes in loop quantum gravity is becoming increasingly accurate. This review focuses on the possible experimental or observational consequences of the underlying spinfoam structure of space-time. It adresses both…

General Relativity and Quantum Cosmology · Physics 2018-08-28 Aurélien Barrau , Killian Martineau , Flora Moulin

I describe the general mathematical construction and physical picture of topological black holes, which are black holes whose event horizons are surfaces of non-trivial topology. The construction is carried out in an arbitrary number of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. B. Mann

The scale invariance of the source-free Einstein field equations suggests that one might be able to model hadrons as "strong gravity" black holes, if one uses an appropriate rescaling of units or a revised gravitational coupling factor. The…

Astrophysics · Physics 2010-04-29 R. L. Oldershaw

The present thesis deals with some properties of classical and quantum scalar fields in an inhomogeneous and/or time-dependent background, focusing on models where the latter can be described as a curved space-time with an event horizon.…

General Relativity and Quantum Cosmology · Physics 2017-08-08 Florent Michel

Wormholes are intriguing classical solutions in General Relativity, that have fascinated theoretical physicists for decades. In recent years, especially in Holography, gravitationalWormhole geometries have found a new life in many…

High Energy Physics - Theory · Physics 2022-06-07 Arnab Kundu

Quantum theory on manifolds with boundaries have been studied extensively through von Neumann analysis of self adjoint operators. We approach the issues through introduction of singular $\delta$ and $\delta'$ potentials. The advantages of…

Mathematical Physics · Physics 2016-10-11 T R Govindarajan , J. M. Munoz-Castaneda

We present an evidence, that the volumes of compactified spaces as well as the areas of black hole horizons must be quantized in Planck units. This quantization has phenomenological consequences, most dramatic being for micro black holes in…

High Energy Physics - Theory · Physics 2011-02-09 Gia Dvali , Cesar Gomez , Slava Mukhanov
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