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© 2020

Three Lectures on Complexity and Black Holes

Book

Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Lecture I: Hilbert Space is Huge

    1. Front Matter
      Pages 1-1
    2. Leonard Susskind
      Pages 3-4
    3. Leonard Susskind
      Pages 5-5
    4. Leonard Susskind
      Pages 7-8
    5. Leonard Susskind
      Pages 9-10
    6. Leonard Susskind
      Pages 11-12
    7. Leonard Susskind
      Pages 13-13
    8. Leonard Susskind
      Pages 15-19
    9. Leonard Susskind
      Pages 21-29
    10. Leonard Susskind
      Pages 31-35
  3. Lecture II: Black Holes and the Second Law of Complexity

    1. Front Matter
      Pages 37-37
    2. Leonard Susskind
      Pages 39-39
    3. Leonard Susskind
      Pages 41-43
    4. Leonard Susskind
      Pages 45-51
    5. Leonard Susskind
      Pages 53-54
    6. Leonard Susskind
      Pages 55-59
    7. Leonard Susskind
      Pages 61-64
    8. Leonard Susskind
      Pages 65-72
    9. Leonard Susskind
      Pages 73-75

About this book

Introduction

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.


Keywords

black holes interior second law of thermodynamics quantum complexity and entropy Hilbert space and qubits second law of complexity spacetime behind the horizon graph theory complexity and firewalls negentropy quantum cosmology

Authors and affiliations

  1. 1.Stanford Institute for Theoretical Physics and Department of PhysicsStanford UniversityStanfordUSA

About the authors

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.

Bibliographic information