# Badis Ydri

Badis Ydri

Professor

Quantum Mechanics and Quantum Gravity

## About

202

Publications

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1,080

Citations

## Publications

Publications (202)

This chapter contains a detailed overview of the recent work, by Almheiri et al. and Penington, on the ${\bf AdS}^2$ black hole information loss paradox and its proposal resolution within the context of the AdS/CFT correspondence. The roles of the generalized entanglement entropy, the quantum extremal surfaces, the island conjecture, holography and...

https://badisydri.blogspot.com/
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Lattice/Matrix Quantum Mechanics and Gauge/Gravity Duality:
Quantum mechanics in which the degrees of freedom are matrices is known to admit, under certain conditions such as those found in the case of the celebrated BFSS/BMN models, a gravitational dual according to the general spirit of the gauge/gravity duality.
This matrix quantum mechanics or...

We construct noncommutative Euclidean/Lorentzian ${\bf AdS}^2_{\theta}$ black holes and their Yang-Mills matrix models.
It is shown that black hole evaporation presents itself as an inverse emergent gravity phase transition in a path integral formulation and thus the whole process is unitary and there is no information loss problem.
This result i...

The Wilsonian renormalization group approach to matrix models is outlined and applied to multitrace matrix models with an emphasis on the computation of the fixed points which could describe the phase structure of noncommutative scalar phi-four theory.

The correspondence between quantum mechanics and noncommutative geometry is illustrated in the context of the noncommutative ${\rm AdS}^2_{\theta}/{\rm CFT_1}$ duality where ${\rm CFT}_1$ is identified as conformal quantum mechanics. This model is conjectured to describe the gauge/gravity correspondence in one dimension. Applications to quantum bla...

In this thesis, we studied a Gaussian approximation to the bosonic part of the BFSS matrix model using Monte Carlo simulations based on the Metropolis algorithm. We reproduce with great accuracy the stringy Hagedorn phase transition from a confinement (black string) phase to a deconfinement (black hole) phase. We used the Polyakov loop as an order...

A complete course on the theory of general relativity and its differential geometry.

A consistent QM/NCG duality is put forward as a model for the AdS2/CFT 1 correspondence. This is a duality/correspondence between (1) the dAFF conformal quantum mechanics (QM) on the boundary (which is only “quasi-conformal” in the sense that there is neither an SO(1, 2)-invariant vacuum state nor there are strictly speaking primary operators), and...

The near-horizon noncommutative geometry of black holes, given by AdS𝜃2 × 𝕊 N2, is discussed and the phase structure of the corresponding Yang–Mills matrix models is presented. The dominant phase transition as the system cools down, i.e. as the gauge coupling constant is decreased is an emergent geometry transition between a geometric noncommutativ...

In this paper, we present the construction of noncommutative AdS𝜃2 black hole and its four-dimensional Yang–Mills IKKT-type matrix model which includes two competing Myers term one responsible for the condensation of pure AdS𝜃2 and the other one responsible for the condensation of the dilaton field. It is argued that the phase diagram of this matri...

In this paper, the geometry of quantum gravity is quantized in the sense of being noncommutative (first quantization) but it is also quantized in the sense of being emergent (second quantization). A new mechanism for quantum geometry is proposed in which noncommutative geometry can emerge from “one-matrix multitrace scalar matrix models” by probing...

A Gaussian approximation to the bosonic part of M-(atrix) theory with mass deformation is considered at large values of the dimension d. From the perspective of the gauge/gravity duality this action reproduces with great accuracy the stringy Hagedorn phase transition from a confinement (black string) phase to a deconfinement (black hole) phase wher...

In this article the geometry of quantum gravity is quantized in the sense of being noncommutative (first quantization) but it is also quantized in the sense of being emergent (second quantization). A new mechanism for quantum geometry is proposed in which noncommutative geometry can emerge from "one-matrix multitrace scalar matrix models" by probin...

In this essay a quantum-dualistic, perspectival and synchronistic interpretation of quantum mechanics is further developed in which the classical world-from-decoherence which is perceived (decoherence) and the perceived world-in-consciousness which is classical (collapse) are not necessarily identified. Thus, Quantum Reality or "{\it unus mundus}"...

String theory provides one of the most deepest insights into quantum gravity. Its single most central and profound result is the gauge/gravity duality, i.e. the emergence of gravity from gauge theory. The two examples of M(atrix)-theory and the AdS/CFT correspondence, together with the fundamental phenomena of quantum entanglement, are of paramount...

https://iopscience.iop.org/book/978-0-7503-2600-1

The near-horizon noncommutative geometry of black holes, given by AdS^2_{\theta} x S^2_N, is discussed and the phase structure of the corresponding Yang-Mills matrix models is presented. The dominant phase transition as the system cools down, i.e. as the gauge coupling constant is decreased is an emergent geometry transition between a geometric non...

In this article we present the construction of noncommutative AdS^2_{\theta} black hole and its four-dimensional Yang-Mills IKKT-type matrix model which includes two competing Myers term one responsible for the condensation of pure AdS^2_{\theta} and the other one responsible for the condensation of the dilaton field. It is argued that the phase di...

A consistent QM/NCG duality is put forward as a model for the AdS^2/CFT_1 correspondence. This is a duality/correspondence between 1) the dAFF conformal quantum mechanics (QM) on the boundary (which is only "quasi-conformal" in the sense that there is neither an SO(1,2)-invariant vacuum state nor there are strictly speaking primary operators), and...

Interpretation of the Copenhagen interpretation

Parallels between the measurement problem in quantum mechanics and the black hole information loss problem in quantum gravity are exhibited and then the attempted resolution of the latter in terms of the gauge/gravity duality is extended to the former.

The Wilsonian renormalization group approach to matrix models is outlined and applied to multitrace matrix models with emphasis on the computation of the fixed points which could describe the phase structure of noncommutative scalar phi-four theory.

Quantum mechanics in the Wigner-von Neumann interpretation is presented. This is characterized by 1) a quantum dualism between matter and consciousness unified within an informational neutral monism, 2) a quantum perspectivism which is extended to a complementarity between the Copenhagen interpretation and the many-worlds formalism, 3) a psychophys...

A Gaussian approximation to the bosonic part of M-(atrix) theory with mass deformation is considered at large values of the dimension $d$. From the perspective of the gauge/gravity duality this action reproduces with great accuracy the stringy Hagedorn phase transition from a confinement (black string) phase to a deconfinement (black hole) phase wh...

Lectures delivered at Eloued University between 16/02/2020 and 20/02/2020. This includes two realistic simulations with two detailed Monte Carlo codes.

theorems of quantum philosophy, quantum logic, quantum metaphysics and interpretations of quantum mechanics.

This book deals with the interplay between fundamental physics and philosophy of physics from the one hand and metaphysics and philosophy from the other hand. It is divided into three independent parts (philosophical, general and mathematical). Part I deals with foundations and philosophy of quantum mechanics, philosophy of time, philosophy of cons...

This two-volume book was accepted for publication by IOP (Institute of Physics) on 20/02/2017, submitted on 14/12/2018 and will appear in its final form during the spring of 2019. It contains a comprehensive introduction to the fundamental topic of quantum field theory starting from free fields and their quantization, renormalizable interactions, c...

We draw systematic parallels between the measurement problem in quantum mechanics and the information loss problem in black holes. Then we proceed to propose a solution of the former along the lines of the solution of the latter which is based on the holographic gauge/gravity duality. The proposed solution is based on 1) the quantum dualism between...

We draw systematic parallels between the measurement problem in quantum mechanics and the information loss problem in black holes. Then we proceed to propose a solution of the former along the lines of the solution of the latter which is based on the holographic gauge/gravity duality. The proposed solution is based on 1) the quantum dualism between...

An overview of the gauge/gravity duality and its application to the black hole information loss problem and to the problem of the emergence of spacetime from quantum entanglement.

We are going to present throughout these lectures the basics of quantum mechanics and quantum gravity as well as some applications of quantum mechanics in different
areas namely optics.

We present a new model of quantum gravity as a theory of random geometries given explicitly in terms of a multitrace matrix model. This is a generalization of the usual discretized random surfaces of two-dimensional quantum gravity which works away from two dimensions and captures a large class of spaces admitting a finite spectral triple. These mu...

انظروا الكتاب الجديد الواقع و الزمن و الفيزياء الاساسية الذى يحتوى على آخر ما كتبت حول فلسفة الكمومى و الزمن بالاضافة الى اشياء اخرى كثيرة. اه

This article is divided into three parts. First, a systematic derivation of the Hawking radiation is given in three different ways. The information loss problem is then discussed in great detail. The last part contains a concise discussion of black hole thermodynamics. This article was published as chapter $6$ of the IOP book "Lectures on General R...

A review of M-(atrix) theory (the BFFS matrix quantum mechanics), type IIB matrix model (the IKKT matrix model) and Matrix String Theory (the DVV matrix gauge theory) is presented.