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Three Lectures on Complexity and Black Holes (eBook) von Leonard Susskind

Three Lectures on Complexity and Black Holes
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Springer International Publishing
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ISBN-13:
9783030451097
Veröffentl:
2020
Einband:
eBook
Seiten:
100
Autor:
Leonard Susskind
Serie:
SpringerBriefs in Physics
eBook Format:
PDF
eBook-Typ:
Reflowable eBook
Kopierschutz:
Digital Watermark [Social-DRM]
Sprache:
Englisch
Systemvoraussetzungen
Inhaltsverzeichnis
Lecture I: Hilbert Space is Huge
1 Preface
2 How Huge?
3 Volume of CP(N)
4 Relative Complexity
5 Dual Role of Unitaries
6 Volume of SU(2K)
7 Exploring SU(2K)
7.1 Relative Complexity of Unitaries
7.2 Complexity is Discontinuous
8 Graph Theory Perspective
8.1 Collisions and Loops
9 The Second Law of Quantum Complexity
9.1 Hamiltonian Evolution
II Lecture II: Black Holes and the Second Law of Complexity
10 Preface
11 The Black Hole-Quantum Circuit Correspondence
11.1 Two Problems
11.2 Circuits and Black Holes
12 The Growth of Wormholes
12.1 Properties of Growth
12.2 Rindler Time and CV
13 Exponential Time Breakdown of GR
13.1 C=V
14 Precursors
14.1 The Epidemic Model
14.2 Lyapunov and Rindler
15 Precursors and Black Holes
15.1 Instability of White Holes
16 Complexity and Firewalls
16.1 Firewalls are Fragile
16.2 What Happens After Exponential Time?
16.3 The Fragility of Complexity Equilibrium
17 Do Typical States have Firewalls?
17.1 AdS Black Holes
17.2 Evaporating Black Holes
Lecture III: The Thermodynamics of Complexity
18 Preface
19 Negentropy
20 Uncomplexity
20.1 The Auxiliary System
20.2 Combining Auxiliary Systems
21 Uncomplexity as a Resource
22 The Power of One Clean Qubit
22.1 The Protocol
22.2 Expending Uncomplexity and Negentropy
23 Spacetime and Uncomplexity
23.1 CA
23.2 Geometric Interpretation of Uncomplexity
Conclusion
Beschreibung

These three lectures cover a certain aspect of complexity and black holes, namely the relation to the second law of thermodynamics. The first lecture describes the meaning of quantum complexity, the analogy between entropy and complexity, and the second law of complexity. Lecture two reviews the connection between the second law of complexity and the interior of black holes. Prof. L. Susskind discusses how firewalls are related to periods of non-increasing complexity which typically only occur after an exponentially long time. The final lecture is about the thermodynamics of complexity, and uncomplexity as a resource for doing computational work. The author explains the remarkable power of one clean qubit, in both computational terms and in space-time terms.

This book is intended for graduate students and researchers who want to take the first steps towards the mysteries of black holes and their complexity.

Autor
Leonard Susskind is an American physicist, who is professor of theoretical physics at Stanford University, and founding director of the Stanford Institute for Theoretical Physics. His research interests include string theory, quantum field theory, quantum statistical mechanics and quantum cosmology.
He is a member of the US National Academy of Sciences, and the American Academy of Arts and Sciences, an associate member of the faculty of Canada's Perimeter Institute for Theoretical Physics, and a distinguished professor of the Korea Institute for Advanced Study.

Susskind is widely regarded as one of the fathers of string theory. He was the first to give a precise string-theoretic interpretation of the holographic principle in 1995 and the first to introduce the idea of the string theory landscape in 2003.

Susskind was awarded the 1998 J. J. Sakurai Prize, and the 2018 Oskar Klein Medal.

 

Schlagwörter zu:

Three Lectures on Complexity and Black Holes von Leonard Susskind - mit der ISBN: 9783030451097

Hilbert space and qubits; black holes interior; complexity and firewalls; graph theory; negentropy; quantum complexity and entropy; quantum cosmology; second law of complexity; second law of thermodynamics; spacetime behind the horizon; theoretical astrophysics; C; Thermodynamics; Astrophysics; Elementary Particles, Quantum Field Theory; Classical and Quantum Gravity; Cosmology; Graph Theory; Physics and Astronomy, Online-Buchhandlung

 

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