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Wormholes and Statistics in Quantum Gravity
Wormholes and Statistics in Quantum Gravity
Wormholes and Statistics in Quantum Gravity

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자료유형  
 학위논문 서양
최종처리일시  
20260202104808
ISBN  
9798293824052
DDC  
530
저자명  
Namburi, Jeevan Chandra.
서명/저자  
Wormholes and Statistics in Quantum Gravity
발행사항  
[Sl] : Cornell University, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
594 p
주기사항  
Source: Dissertations Abstracts International, Volume: 87-03, Section: B.
주기사항  
Advisor: Hartman, Thomas.
학위논문주기  
Thesis (Ph.D.)--Cornell University, 2025.
초록/해제  
요약In this thesis, we present our work on computing signatures of quantum chaos in gravity. More specifically, we show how higher topologies in the gravitational path integral-called Euclidean wormholes- encode statistical properties of the data of strongly coupled Conformal Field Theories (CFTs) thereby establishing how quantum gravity realizes a version of the Eigenstate Thermalization Hypothesis (ETH) based on the randomness of CFT data.First, we propose a novel correspondence between wormhole solutions to Einstein's equations in semiclassical 3D gravity and averages of corresponding observables in 2D CFT and support out proposal using several examples. We then discuss the construction of wormholes in higher dimensions sourced by spherically symmetric thin shells of dust particles and interpret them in individual CFTs in terms of coarse-graining CFT data.Developing this idea further, we establish a correspondence between the statistics of black holes formed from such dust shells in 3D gravity and the dynamics of a non-conformal line defect in 2D CFT. We also construct wormholes using domain wall solutions in AdS/CFT and show how these wormholes capture covariances between observables in different CFTs thereby providing a precision test for the realization of ETH in gravity.As an interesting application, by employing information-theoretic ideas, we construct a quantitative random tensor network model for black holes using CFT data, which exhibits essential features of the black hole interior.
일반주제명  
Physics
일반주제명  
Theoretical physics
일반주제명  
Statistical physics
일반주제명  
Astrophysics
일반주제명  
Computational physics
키워드  
Euclidean wormholes
키워드  
Gravity
키워드  
Eigenstate Thermalization Hypothesis
키워드  
Conformal Field Theories
키워드  
Einstein's equations
기타저자  
Cornell University Physics
기본자료저록  
Dissertations Abstracts International. 87-03B.
전자적 위치 및 접속  
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MARC

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■1001  ▼aNamburi,  Jeevan  Chandra.▼0(orcid)0000-0001-9978-5992
■24510▼aWormholes  and  Statistics  in  Quantum  Gravity
■260    ▼a[Sl]▼bCornell  University▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a594  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  87-03,  Section:  B.
■500    ▼aAdvisor:  Hartman,  Thomas.
■5021  ▼aThesis  (Ph.D.)--Cornell  University,  2025.
■520    ▼aIn  this  thesis,  we  present  our  work  on  computing  signatures  of  quantum  chaos  in  gravity.  More  specifically,  we  show  how  higher  topologies  in  the  gravitational  path  integral-called  Euclidean  wormholes-  encode  statistical  properties  of  the  data  of  strongly  coupled  Conformal  Field  Theories  (CFTs)  thereby  establishing  how  quantum  gravity  realizes  a  version  of  the  Eigenstate  Thermalization  Hypothesis  (ETH)  based  on  the  randomness  of  CFT  data.First,  we  propose  a  novel  correspondence  between  wormhole  solutions  to  Einstein's  equations  in  semiclassical  3D  gravity  and  averages  of  corresponding  observables  in  2D  CFT  and  support  out  proposal  using  several  examples.  We  then  discuss  the  construction  of  wormholes  in  higher  dimensions  sourced  by  spherically  symmetric  thin  shells  of  dust  particles  and  interpret  them  in  individual  CFTs  in  terms  of  coarse-graining  CFT  data.Developing  this  idea  further,  we  establish  a  correspondence  between  the  statistics  of  black  holes  formed  from  such  dust  shells  in  3D  gravity  and  the  dynamics  of  a  non-conformal  line  defect  in  2D  CFT.  We  also  construct  wormholes  using  domain  wall  solutions  in  AdS/CFT  and  show  how  these  wormholes  capture  covariances  between  observables  in  different  CFTs  thereby  providing  a  precision  test  for  the  realization  of  ETH  in  gravity.As  an  interesting  application,  by  employing  information-theoretic  ideas,  we  construct  a  quantitative  random  tensor  network  model  for  black  holes  using  CFT  data,  which  exhibits  essential  features  of  the  black  hole  interior.
■590    ▼aSchool  code:  0058.
■650  4▼aPhysics
■650  4▼aTheoretical  physics
■650  4▼aStatistical  physics
■650  4▼aAstrophysics
■650  4▼aComputational  physics
■653    ▼aEuclidean  wormholes
■653    ▼aGravity
■653    ▼aEigenstate  Thermalization  Hypothesis
■653    ▼aConformal  Field  Theories  
■653    ▼aEinstein's  equations
■690    ▼a0605
■690    ▼a0753
■690    ▼a0596
■690    ▼a0217
■690    ▼a0216
■71020▼aCornell  University▼bPhysics.
■7730  ▼tDissertations  Abstracts  International▼g87-03B.
■790    ▼a0058
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17358909▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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