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We consider three fundamental issues in quantum gravity: (a) the black hole information paradox (b) the unboundedness of entropy that can be stored inside a black hole horizon (c) the relation between the black hole horizon and the…

High Energy Physics - Theory · Physics 2021-02-03 Samir D. Mathur

The quantum gravity vacuum must contain virtual fluctuations of black hole microstates. These extended-size fluctuations get `crushed' when a closed trapped surface forms, and turn into on-shell `fuzzball' states that resolve the…

High Energy Physics - Theory · Physics 2022-01-26 Samir D. Mathur

The vacuum must contain virtual fluctuations of black hole microstates for each mass $M$. We observe that the expected suppression for $M\gg m_p$ is counteracted by the large number $Exp[S_{bek}]$ of such states. From string theory we learn…

High Energy Physics - Theory · Physics 2020-01-08 Samir D. Mathur

The black hole information paradox is resolved in string theory by a radical change in the picture of the hole: black hole microstates are horizon sized quantum gravity objects called `fuzzballs' instead of vacuum regions with a central…

High Energy Physics - Theory · Physics 2019-01-01 Samir D. Mathur

We describe the puzzles that arise in the quantum theory of black holes, and explain how they are resolved in string theory. We review how the Bekenstein entropy is obtained through the count of brane bound states. We describe the fuzzball…

High Energy Physics - Theory · Physics 2025-02-17 Samir D. Mathur , Madhur Mehta

In this work we review some concepts developed over the last few years: that the gravitational vacuum has, even at scales much larger than the Planck length, a peculiar structure, with anomalously strong and long-lasting fluctuations called…

General Physics · Physics 2014-03-19 Giovanni Modanese

The black hole information paradox tells us something important about the way quantum mechanics and gravity fit together. In these lectures I try to give a pedagogical review of the essential physics leading to the paradox, using mostly…

High Energy Physics - Theory · Physics 2009-01-28 Samir D. Mathur

The black hole information paradox is one of the most important issues in theoretical physics. We review some recent progress using string theory in understanding the nature of black hole microstates. For all cases where these microstates…

High Energy Physics - Theory · Physics 2008-10-27 Samir D. Mathur

The black-hole information paradox provides a stringent test of would-be theories of quantum gravity. String theory has made significant progress toward a resolution of this paradox, and has led to the fuzzball and microstate geometry…

High Energy Physics - Theory · Physics 2022-03-11 Iosif Bena , Emil J. Martinec , Samir D. Mathur , Nicholas P. Warner

In recent years a statistical mechanics description of particles, fields and spacetime based on the concept of quantum open systems and the influence functional formalism has been introduced. It reproduces in full the established theory of…

General Relativity and Quantum Cosmology · Physics 2016-08-31 B. L. Hu

Fuzzy dark matter wormhole solutions coupled with anisotropic matter distribution are explored in higher-order curvature gravity. We derive the shape function for fuzzy wormholes and explore their possible stability. We study the embedding…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Z. Yousaf , Kazuharu Bamba , Bander Almutairi , M. Z. Bhatti , M. Rizwan

The black-hole information paradox provides one of the sharpest foci for the conflict between quantum mechanics and general relativity and has become the proving-ground of would-be theories of quantum gravity. String theory has made…

High Energy Physics - Theory · Physics 2022-04-29 Iosif Bena , Emil J. Martinec , Samir D. Mathur , Nicholas P. Warner

We argue that black holes microstates leave an imprint on the gravitational vacuum through their virtual fluctuations. This imprint yields a power law fall off -- rather than an exponential fall off -- for the entanglement of planck scale…

High Energy Physics - Theory · Physics 2025-05-16 Samir D. Mathur

The black hole information paradox forces us into a strange situation: we must find a way to break the semiclassical approximation in a domain where no quantum gravity effects would normally be expected. Traditional quantizations of gravity…

High Energy Physics - Theory · Physics 2015-06-05 Samir D. Mathur

Quantum vacuum and matter immersed in it interact through electromagnetic, strong and weak interactions. However, we have zero knowledge of the gravitational properties of the quantum vacuum. As an illustration of possible fundamental…

General Physics · Physics 2020-03-23 Dragan Hajdukovic

Neutrinos undergoing stochastic perturbations as they propagate experience decoherence, damping neutrino oscillations over distance. Such perturbations may result from fluctuations in space-time itself if gravity is a quantum force,…

High Energy Physics - Phenomenology · Physics 2022-01-19 Thomas Stuttard , Mikkel Jensen

The vacuum correlations of the gravitational field are highly non-trivial to be defined and computed, as soon as their arguments and indices do not belong to a background but become dynamical quantities. Their knowledge is essential however…

High Energy Physics - Theory · Physics 2015-06-26 G. Modanese

We show how semiclassical black holes can be reinterpreted as an effective geometry, composed of a large ensamble of horizonless naked singularities (eventually smoothed at the Planck scale). We call this new items {\it frizzyballs}, which…

General Relativity and Quantum Cosmology · Physics 2015-10-22 Andrea Addazi

We propose a novel phenomenological model of quantum gravitational collapse inspired by loop quantum gravity that ensures a completely regular spacetime evolution. By incorporating quantum gravitational modifications based on local rather…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Francesco Fazzini , Waleed Sherif

Contrary to the common view voids have very complex internal structure and dynamics. Here we show how the hierarchy of structures in the density field inside voids is reflected by a similar hierarchy of structures in the velocity field.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 M. A. Aragon-Calvo , A. S. Szalay
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