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Towards a Quantum Theory of de Sitter Space: Insights from the Static Patch Observer
Towards a Quantum Theory of de Sitter Space: Insights from the Static Patch Observer
Towards a Quantum Theory of de Sitter Space: Insights from the Static Patch Observer

상세정보

자료유형  
 학위논문 서양
최종처리일시  
20260202105615
ISBN  
9798265429506
DDC  
500
저자명  
Rahman, Adel.
서명/저자  
Towards a Quantum Theory of de Sitter Space: Insights from the Static Patch Observer
발행사항  
[Sl] : Stanford University, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
126 p
주기사항  
Source: Dissertations Abstracts International, Volume: 87-05, Section: B.
주기사항  
Advisor: Stanford, Douglas;Susskind, Leonard.
학위논문주기  
Thesis (Ph.D.)--Stanford University, 2025.
초록/해제  
요약This thesis is based on two key papers [1,2] which came out of my PhD research. In the first half of this thesis, I study aspects of geometry and field theory in a version of dS-JT gravity which was conjectured by Leonard Susskind and myself [3-9]1 to be holographically dual to the high-temperature double-scaled limit of the SYK model. The notion of holographic duality employed here is that of static patch horizon holography (see e.g. [14] and references therein). In this context, I describe an example of holographic bulk emergence and discuss some related constraints on the boundary-to-bulk operator mapping. In the second half of this thesis based on [2], written in collaboration with Leonard Susskind we discuss some general insights and surprises which follow from the static patch perspective on de Sitter space (in any dimension). Specific focus is given to the example of massive vector Bosons as seen by a static patch observer. From this perspective, these vector Bosons appear to be controlled by an effective physical mass which deviates from the "naive" mass appearing in the usual dS-Proca Lagrangian by a term which is proportional to the cosmological constant. We argue that this deviation allows the theory to be well-defined (at least from the static patch perspective) in a naively tachyonic range of parameters, up to what we term the "edge of stability". We identify and explain several interesting features which appear at the edge of stability and explicitly demonstrate the classical stability of the theory in this new parameter range.
일반주제명  
Decomposition
일반주제명  
Spacetime
일반주제명  
Gravity
일반주제명  
Quantum theory
일반주제명  
Euclidean space
일반주제명  
Black holes
일반주제명  
Geometry
일반주제명  
Entropy
일반주제명  
High temperature
일반주제명  
Symmetry
일반주제명  
Universe
일반주제명  
Astronomy
일반주제명  
Astrophysics
일반주제명  
Mathematics
일반주제명  
Theoretical physics
일반주제명  
Thermodynamics
기타저자  
Stanford University.
기본자료저록  
Dissertations Abstracts International. 87-05B.
전자적 위치 및 접속  
로그인 후 원문을 볼 수 있습니다.

MARC

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■0820  ▼a500
■1001  ▼aRahman,  Adel.
■24510▼aTowards  a  Quantum  Theory  of  de  Sitter  Space:  Insights  from  the  Static  Patch  Observer
■260    ▼a[Sl]▼bStanford  University▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a126  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  87-05,  Section:  B.
■500    ▼aAdvisor:  Stanford,  Douglas;Susskind,  Leonard.
■5021  ▼aThesis  (Ph.D.)--Stanford  University,  2025.
■520    ▼aThis  thesis  is  based  on  two  key  papers  [1,2]  which  came  out  of  my  PhD  research.  In  the  first  half  of  this  thesis,  I  study  aspects  of  geometry  and  field  theory  in  a  version  of  dS-JT  gravity  which  was  conjectured  by  Leonard  Susskind  and  myself  [3-9]1  to  be  holographically  dual  to  the  high-temperature  double-scaled  limit  of  the  SYK  model.  The  notion  of  holographic  duality  employed  here  is  that  of  static  patch  horizon  holography  (see  e.g.  [14]  and  references  therein).  In  this  context,  I  describe  an  example  of  holographic  bulk  emergence  and  discuss  some  related  constraints  on  the  boundary-to-bulk  operator  mapping.  In  the  second  half  of  this  thesis  based  on  [2],  written  in  collaboration  with  Leonard  Susskind  we  discuss  some  general  insights  and  surprises  which  follow  from  the  static  patch  perspective  on  de  Sitter  space  (in  any  dimension).  Specific  focus  is  given  to  the  example  of  massive  vector  Bosons  as  seen  by  a  static  patch  observer.  From  this  perspective,  these  vector  Bosons  appear  to  be  controlled  by  an  effective  physical  mass  which  deviates  from  the  "naive"  mass  appearing  in  the  usual  dS-Proca  Lagrangian  by  a  term  which  is  proportional  to  the  cosmological  constant.  We  argue  that  this  deviation  allows  the  theory  to  be  well-defined  (at  least  from  the  static  patch  perspective)  in  a  naively  tachyonic  range  of  parameters,  up  to  what  we  term  the  "edge  of  stability".  We  identify  and  explain  several  interesting  features  which  appear  at  the  edge  of  stability  and  explicitly  demonstrate  the  classical  stability  of  the  theory  in  this  new  parameter  range.
■590    ▼aSchool  code:  0212.
■650  4▼aDecomposition
■650  4▼aSpacetime
■650  4▼aGravity
■650  4▼aQuantum  theory
■650  4▼aEuclidean  space
■650  4▼aBlack  holes
■650  4▼aGeometry
■650  4▼aEntropy
■650  4▼aHigh  temperature
■650  4▼aSymmetry
■650  4▼aUniverse
■650  4▼aAstronomy
■650  4▼aAstrophysics
■650  4▼aMathematics
■650  4▼aTheoretical  physics
■650  4▼aThermodynamics
■690    ▼a0606
■690    ▼a0596
■690    ▼a0405
■690    ▼a0753
■690    ▼a0348
■71020▼aStanford  University.
■7730  ▼tDissertations  Abstracts  International▼g87-05B.
■790    ▼a0212
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17360757▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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