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Gia Dvali - One of the best experts on this subject based on the ideXlab platform.
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classical limit of black hole quantum n portrait and bms symmetry
Physics Letters B, 2016Co-Authors: Gia Dvali, Cesar Gomez, Dieter LustAbstract:Abstract Black hole entropy, denoted by N, in (semi-)classical limit is infinite. This scaling reveals a very important information about the qubit degrees of freedom that carry black hole entropy. Namely, the multiplicity of qubits scales as N, whereas their energy gap and their coupling as 1 / N . Such a behavior is indeed exhibited by Bogoliubov–Goldstone degrees of freedom of a quantum-critical state of N soft gravitons (a condensate or a coherent state) describing the black hole quantum portrait. They can be viewed as the Goldstone modes of a broken symmetry acting on the graviton condensate. In this picture Minkowski space naturally emerges as a coherent state of N = ∞ gravitons of infinite wavelength and it carries an infinite entropy. In this paper we ask what is the Geometric Meaning (if any) of the classical limit of this symmetry. We argue that the infinite-N limit of Bogoliubov–Goldstone modes of critical graviton condensate is described by recently-discussed classical BMS super-translations broken by the black hole geometry. However, the full black hole information can only be recovered for finite N, since the recovery time becomes infinite in classical limit in which N is infinite.
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classical limit of black hole quantum n portrait and bms symmetry
Physics Letters B, 2016Co-Authors: Gia Dvali, Cesar Gomez, Dieter LustAbstract:Black hole entropy, denoted by N, in (semi-) classical limit is infinite. This scaling reveals a very important information about the qubit degrees of freedom that carry black hole entropy. Namely, the multiplicity of qubits scales as N, whereas their energy gap and their coupling as 1/N. Such a behavior is indeed exhibited by Bogoliubov-Goldstone degrees of freedom of a quantum-critical state of N soft gravitons (acondensate or a coherent state) describing the black hole quantum portrait. They can be viewed as the Goldstone modes of a broken symmetry acting on the graviton condensate. In this picture Minkowski space naturally emerges as a coherent state of N=infinity gravitons of infinite wavelength and it carries an infinite entropy. In this paper we ask what is the Geometric Meaning (if any) of the classical limit of this symmetry. We argue that the infinite-N limit of Bogoliubov-Goldstone modes of critical graviton condensate is described by recently-discussed classical BMS super-translations broken by the black hole geometry. However, the full black hole information can only be recovered for finite N, since the recovery time becomes infinite in classical limit in which N is infinite. (C) 2015 The Authors. Published by Elsevier B. V.
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classical limit of black hole quantum n portrait and bms symmetry
arXiv: High Energy Physics - Theory, 2015Co-Authors: Gia Dvali, Cesar Gomez, Dieter LustAbstract:Black hole entropy, denoted by N, in (semi)classical limit is infinite. This scaling reveals a very important information about the qubit degrees of freedom that carry black hole entropy. Namely, the multiplicity of qubits scales as N, whereas their energy gap and their coupling as 1/N. Such a behavior is indeed exhibited by Bogoliubov-Goldstone degrees of freedom of a quantum-critical state of N soft gravitons (a condensate or a coherent state) describing the black hole quantum portrait. They can be viewed as the Goldstone modes of a broken symmetry acting on the graviton condensate. In this picture Minkowski space naturally emerges as a coherent state of infinite-N gravitons of infinite wavelength and it carries an infinite entropy. In this paper we ask what is the Geometric Meaning (if any) of the classical limit of this symmetry. We argue that the infinite-N limit of Bogoliubov-Goldstone modes of critical graviton condensate is described by recently-discussed classical BMS super-translations broken by the black hole geometry. However, the full black hole information can only be recovered for finite N, since the recovery time becomes infinite in classical limit in which N is infinite.
Dieter Lust - One of the best experts on this subject based on the ideXlab platform.
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classical limit of black hole quantum n portrait and bms symmetry
Physics Letters B, 2016Co-Authors: Gia Dvali, Cesar Gomez, Dieter LustAbstract:Abstract Black hole entropy, denoted by N, in (semi-)classical limit is infinite. This scaling reveals a very important information about the qubit degrees of freedom that carry black hole entropy. Namely, the multiplicity of qubits scales as N, whereas their energy gap and their coupling as 1 / N . Such a behavior is indeed exhibited by Bogoliubov–Goldstone degrees of freedom of a quantum-critical state of N soft gravitons (a condensate or a coherent state) describing the black hole quantum portrait. They can be viewed as the Goldstone modes of a broken symmetry acting on the graviton condensate. In this picture Minkowski space naturally emerges as a coherent state of N = ∞ gravitons of infinite wavelength and it carries an infinite entropy. In this paper we ask what is the Geometric Meaning (if any) of the classical limit of this symmetry. We argue that the infinite-N limit of Bogoliubov–Goldstone modes of critical graviton condensate is described by recently-discussed classical BMS super-translations broken by the black hole geometry. However, the full black hole information can only be recovered for finite N, since the recovery time becomes infinite in classical limit in which N is infinite.
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classical limit of black hole quantum n portrait and bms symmetry
Physics Letters B, 2016Co-Authors: Gia Dvali, Cesar Gomez, Dieter LustAbstract:Black hole entropy, denoted by N, in (semi-) classical limit is infinite. This scaling reveals a very important information about the qubit degrees of freedom that carry black hole entropy. Namely, the multiplicity of qubits scales as N, whereas their energy gap and their coupling as 1/N. Such a behavior is indeed exhibited by Bogoliubov-Goldstone degrees of freedom of a quantum-critical state of N soft gravitons (acondensate or a coherent state) describing the black hole quantum portrait. They can be viewed as the Goldstone modes of a broken symmetry acting on the graviton condensate. In this picture Minkowski space naturally emerges as a coherent state of N=infinity gravitons of infinite wavelength and it carries an infinite entropy. In this paper we ask what is the Geometric Meaning (if any) of the classical limit of this symmetry. We argue that the infinite-N limit of Bogoliubov-Goldstone modes of critical graviton condensate is described by recently-discussed classical BMS super-translations broken by the black hole geometry. However, the full black hole information can only be recovered for finite N, since the recovery time becomes infinite in classical limit in which N is infinite. (C) 2015 The Authors. Published by Elsevier B. V.
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classical limit of black hole quantum n portrait and bms symmetry
arXiv: High Energy Physics - Theory, 2015Co-Authors: Gia Dvali, Cesar Gomez, Dieter LustAbstract:Black hole entropy, denoted by N, in (semi)classical limit is infinite. This scaling reveals a very important information about the qubit degrees of freedom that carry black hole entropy. Namely, the multiplicity of qubits scales as N, whereas their energy gap and their coupling as 1/N. Such a behavior is indeed exhibited by Bogoliubov-Goldstone degrees of freedom of a quantum-critical state of N soft gravitons (a condensate or a coherent state) describing the black hole quantum portrait. They can be viewed as the Goldstone modes of a broken symmetry acting on the graviton condensate. In this picture Minkowski space naturally emerges as a coherent state of infinite-N gravitons of infinite wavelength and it carries an infinite entropy. In this paper we ask what is the Geometric Meaning (if any) of the classical limit of this symmetry. We argue that the infinite-N limit of Bogoliubov-Goldstone modes of critical graviton condensate is described by recently-discussed classical BMS super-translations broken by the black hole geometry. However, the full black hole information can only be recovered for finite N, since the recovery time becomes infinite in classical limit in which N is infinite.
Micha Wasem - One of the best experts on this subject based on the ideXlab platform.
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non integer valued winding numbers and a generalized residue theorem
Journal of Mathematics, 2019Co-Authors: Norbert Hungerbuhler, Micha WasemAbstract:We define a generalization of the winding number of a piecewise cycle in the complex plane which has a Geometric Meaning also for points which lie on the cycle. The computation of this winding number relies on the Cauchy principal value but is also possible in a real version via an integral with bounded integrand. The new winding number allows to establish a generalized residue theorem which covers also the situation where singularities lie on the cycle. This residue theorem can be used to calculate the value of improper integrals for which the standard technique with the classical residue theorem does not apply.
Cesar Gomez - One of the best experts on this subject based on the ideXlab platform.
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classical limit of black hole quantum n portrait and bms symmetry
Physics Letters B, 2016Co-Authors: Gia Dvali, Cesar Gomez, Dieter LustAbstract:Abstract Black hole entropy, denoted by N, in (semi-)classical limit is infinite. This scaling reveals a very important information about the qubit degrees of freedom that carry black hole entropy. Namely, the multiplicity of qubits scales as N, whereas their energy gap and their coupling as 1 / N . Such a behavior is indeed exhibited by Bogoliubov–Goldstone degrees of freedom of a quantum-critical state of N soft gravitons (a condensate or a coherent state) describing the black hole quantum portrait. They can be viewed as the Goldstone modes of a broken symmetry acting on the graviton condensate. In this picture Minkowski space naturally emerges as a coherent state of N = ∞ gravitons of infinite wavelength and it carries an infinite entropy. In this paper we ask what is the Geometric Meaning (if any) of the classical limit of this symmetry. We argue that the infinite-N limit of Bogoliubov–Goldstone modes of critical graviton condensate is described by recently-discussed classical BMS super-translations broken by the black hole geometry. However, the full black hole information can only be recovered for finite N, since the recovery time becomes infinite in classical limit in which N is infinite.
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classical limit of black hole quantum n portrait and bms symmetry
Physics Letters B, 2016Co-Authors: Gia Dvali, Cesar Gomez, Dieter LustAbstract:Black hole entropy, denoted by N, in (semi-) classical limit is infinite. This scaling reveals a very important information about the qubit degrees of freedom that carry black hole entropy. Namely, the multiplicity of qubits scales as N, whereas their energy gap and their coupling as 1/N. Such a behavior is indeed exhibited by Bogoliubov-Goldstone degrees of freedom of a quantum-critical state of N soft gravitons (acondensate or a coherent state) describing the black hole quantum portrait. They can be viewed as the Goldstone modes of a broken symmetry acting on the graviton condensate. In this picture Minkowski space naturally emerges as a coherent state of N=infinity gravitons of infinite wavelength and it carries an infinite entropy. In this paper we ask what is the Geometric Meaning (if any) of the classical limit of this symmetry. We argue that the infinite-N limit of Bogoliubov-Goldstone modes of critical graviton condensate is described by recently-discussed classical BMS super-translations broken by the black hole geometry. However, the full black hole information can only be recovered for finite N, since the recovery time becomes infinite in classical limit in which N is infinite. (C) 2015 The Authors. Published by Elsevier B. V.
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classical limit of black hole quantum n portrait and bms symmetry
arXiv: High Energy Physics - Theory, 2015Co-Authors: Gia Dvali, Cesar Gomez, Dieter LustAbstract:Black hole entropy, denoted by N, in (semi)classical limit is infinite. This scaling reveals a very important information about the qubit degrees of freedom that carry black hole entropy. Namely, the multiplicity of qubits scales as N, whereas their energy gap and their coupling as 1/N. Such a behavior is indeed exhibited by Bogoliubov-Goldstone degrees of freedom of a quantum-critical state of N soft gravitons (a condensate or a coherent state) describing the black hole quantum portrait. They can be viewed as the Goldstone modes of a broken symmetry acting on the graviton condensate. In this picture Minkowski space naturally emerges as a coherent state of infinite-N gravitons of infinite wavelength and it carries an infinite entropy. In this paper we ask what is the Geometric Meaning (if any) of the classical limit of this symmetry. We argue that the infinite-N limit of Bogoliubov-Goldstone modes of critical graviton condensate is described by recently-discussed classical BMS super-translations broken by the black hole geometry. However, the full black hole information can only be recovered for finite N, since the recovery time becomes infinite in classical limit in which N is infinite.
Norbert Hungerbuhler - One of the best experts on this subject based on the ideXlab platform.
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non integer valued winding numbers and a generalized residue theorem
Journal of Mathematics, 2019Co-Authors: Norbert Hungerbuhler, Micha WasemAbstract:We define a generalization of the winding number of a piecewise cycle in the complex plane which has a Geometric Meaning also for points which lie on the cycle. The computation of this winding number relies on the Cauchy principal value but is also possible in a real version via an integral with bounded integrand. The new winding number allows to establish a generalized residue theorem which covers also the situation where singularities lie on the cycle. This residue theorem can be used to calculate the value of improper integrals for which the standard technique with the classical residue theorem does not apply.