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Honey, I Shrunk the Hilbert Space: From Dualities to Non-Isometric Codes in Holography
Honey, I Shrunk the Hilbert Space: From Dualities to Non-Isometric Codes in Holography
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103116
- ISBN
- 9798314899168
- DDC
- 530.1
- 서명/저자
- Honey, I Shrunk the Hilbert Space: From Dualities to Non-Isometric Codes in Holography
- 발행사항
- [Sl] : University of Colorado at Boulder, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 312 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-11, Section: B.
- 주기사항
- Advisor: DeWolfe, Oliver.
- 학위논문주기
- Thesis (Ph.D.)--University of Colorado at Boulder, 2025.
- 초록/해제
- 요약While the quantization of gravity remains one of the greatest unsolved challenges in theoretical physics, significant progress has been made through the unique intersection of high energy theory and quantum information. Holographic dualities like AdS/CFT have proven indispensable, offering insights with far-reaching implications for both fields. This dissertation explores how these dualities offer new perspectives on quantum gravity, with a particular focus on holographic entanglement entropy, generalized symmetries, and non-isometric holographic maps. The first part of this thesis consists of three chapters exploring various aspects of dualities. Using the transverse field Ising model, we study how entanglement entropy transforms under the Kramers-Wannier duality, employing tools from quantum channels and algebraic quantum mechanics. Specializing to AdS/CFT, we then analyze the regularization of holographic entropies using horocycles. Finally, we verify the bulk dual of a boundary 2-group symmetry and uncover a surprising link between bulk boundary conditions and gauging boundary symmetries.The second part focuses on non-isometric holographic maps, beginning with progressive refinements of a model for non-isometric holographic maps encoding the black hole interior. First, we define the backwards-forwards map to incorporate non-trivial dynamics behind the black hole horizon. Next, we refine this map to prevent the formation of past singularities and analyze bulk reconstruction using techniques from Haar measure integration. Third, we incorporate a notion of locality into these holographic maps by constructing non-isometric tensor networks for black hole interiors. Finally, we extend previous work on non-isometries and gravitational path integrals for closed universes, proposing new techniques for incorporating observers in holographic maps. These studies contribute to a growing body of work suggesting that non-isometric maps may play a central role in understanding quantum gravity.
- 일반주제명
- Theoretical physics
- 일반주제명
- Quantum physics
- 일반주제명
- Applied physics
- 일반주제명
- Astrophysics
- 키워드
- Black holes
- 키워드
- Dualities
- 키워드
- Holography
- 키워드
- Non-isometry
- 기타저자
- University of Colorado at Boulder Physics
- 기본자료저록
- Dissertations Abstracts International. 86-11B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520260202103116
■006m o d
■007cr#unu||||||||
■020 ▼a9798314899168
■035 ▼a(MiAaPQ)AAI31937276
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530.1
■1001 ▼aHigginbotham, Kenneth Jon.▼0(orcid)0000-0002-4606-4144
■24510▼aHoney, I Shrunk the Hilbert Space: From Dualities to Non-Isometric Codes in Holography
■260 ▼a[Sl]▼bUniversity of Colorado at Boulder▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a312 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-11, Section: B.
■500 ▼aAdvisor: DeWolfe, Oliver.
■5021 ▼aThesis (Ph.D.)--University of Colorado at Boulder, 2025.
■520 ▼aWhile the quantization of gravity remains one of the greatest unsolved challenges in theoretical physics, significant progress has been made through the unique intersection of high energy theory and quantum information. Holographic dualities like AdS/CFT have proven indispensable, offering insights with far-reaching implications for both fields. This dissertation explores how these dualities offer new perspectives on quantum gravity, with a particular focus on holographic entanglement entropy, generalized symmetries, and non-isometric holographic maps. The first part of this thesis consists of three chapters exploring various aspects of dualities. Using the transverse field Ising model, we study how entanglement entropy transforms under the Kramers-Wannier duality, employing tools from quantum channels and algebraic quantum mechanics. Specializing to AdS/CFT, we then analyze the regularization of holographic entropies using horocycles. Finally, we verify the bulk dual of a boundary 2-group symmetry and uncover a surprising link between bulk boundary conditions and gauging boundary symmetries.The second part focuses on non-isometric holographic maps, beginning with progressive refinements of a model for non-isometric holographic maps encoding the black hole interior. First, we define the backwards-forwards map to incorporate non-trivial dynamics behind the black hole horizon. Next, we refine this map to prevent the formation of past singularities and analyze bulk reconstruction using techniques from Haar measure integration. Third, we incorporate a notion of locality into these holographic maps by constructing non-isometric tensor networks for black hole interiors. Finally, we extend previous work on non-isometries and gravitational path integrals for closed universes, proposing new techniques for incorporating observers in holographic maps. These studies contribute to a growing body of work suggesting that non-isometric maps may play a central role in understanding quantum gravity.
■590 ▼aSchool code: 0051.
■650 4▼aTheoretical physics
■650 4▼aQuantum physics
■650 4▼aApplied physics
■650 4▼aAstrophysics
■653 ▼aBlack holes
■653 ▼aDualities
■653 ▼aHolography
■653 ▼aNon-isometry
■653 ▼aKramers-Wannier duality
■690 ▼a0753
■690 ▼a0599
■690 ▼a0596
■690 ▼a0215
■71020▼aUniversity of Colorado at Boulder▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g86-11B.
■790 ▼a0051
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357015▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
