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Black Hole Evaporation and Black Hole Statistical Mechanics

Research Project

Project/Area Number 19740149
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionDaido Institute of Technology

Principal Investigator

SAIDA Hiromi  Daido Institute of Technology, 教養部, 准教授 (80367648)

Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥1,900,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2007: ¥600,000 (Direct Cost: ¥600,000)
Keywordsブラックホール熱力学 / エントロピー=面積則 / 量子重力 / 熱力学 / 量子統計力学 / 非平衡蒸発過程 / 相対論的散逸流体 / 統計力学 / 分配関数 / ブラックホール蒸発 / ブラックホールのエントロピー
Research Abstract

Black Hole (BH) is the spacetime region affected by extremely strong gravity, and nothing can escape from BH. In order to understand deeper the micro-scale properties of gravity via researching BH, we consider two problems : (1) What does happen at the end of BH evaporation? (2) It is already known that, when a single BH exists, its entropy is given by the area of BH (Entropy-Area law). It has been conjectured without proof that the entropy-area law holds for systems including some BHs. Is this conjecture correct? Then, the results of research are as follows. Result on (1) : BH can not evaporate completely due to the law of entropy increase, and a remnant of Planck scale should remain. Result on (2) : The conjecture is wrong, and the entropy-area law does not hold in the system including some BHs. Furthermore, it is also found that the potential of gravity has finite value within a short length scale such as Planck length (contrary to the past expectation which expects that the gravitational potential is negative infinity at short length scale).

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (67 results)

All 2011 2010 2009 2008 2007 Other

All Journal Article (6 results) (of which Peer Reviewed: 3 results) Presentation (47 results) Book (6 results) Remarks (8 results)

  • [Journal Article] To what extent is the entropy-area law universal?2009

    • Author(s)
      Hiromi Saida
    • Journal Title

      Progress of Theoretical Physics 122

      Pages: 1515-1552

    • Related Report
      2009 Final Research Report
  • [Journal Article] de-Sitter thermodynamics in the canonical ensemble2009

    • Author(s)
      Hiromi Saida
    • Journal Title

      Progress of Theoretical Physicss 122

      Pages: 1239-1266

    • NAID

      110007481722

    • Related Report
      2009 Final Research Report
  • [Journal Article] Mechanical First Law of Black Hole Spacetimes with Cosmological Constant and Its Application to Schwarzschild-de Sitter Spacetime2009

    • Author(s)
      Miho Urano, Akira Tomimatsu, Hiromi Saida
    • Journal Title

      Classical and Quantum Gravity 26

      Pages: 105010-105010

    • Related Report
      2009 Final Research Report
  • [Journal Article] To what extent is the entropy-area law universal? ---Multi-horizon and multi-temperature spacetime may break the entropy-area law---2009

    • Author(s)
      斉田浩見
    • Journal Title

      Progress of Theoretical Physics

      Volume: 122 Pages: 1515-1552

    • NAID

      110007502701

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] de-Sitter thermodynamics in the canonical ensemble2009

    • Author(s)
      斉田浩見
    • Journal Title

      Progress of Theoretical Physics

      Volume: 122 Pages: 1239-1266

    • NAID

      110007481722

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mechanical First Law of Black Hole Spacetimes with Cosmological Constant and Its Application to Schwarzschild-de Sitter Spacetime2009

    • Author(s)
      浦野美保、冨松彰、斉田浩見
    • Journal Title

      Classical and Quantum Gravity 26巻

      Pages: 105010-105010

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] General Relativistic Dissipation in Accretion Flow onto Black Hole---toward full GR modeling of BH accretion---2011

    • Author(s)
      斉田浩見
    • Organizer
      JSI workshop : The Ins and Out of Black Holes
    • Place of Presentation
      Loews Annapolis Hotel(メリーランド州,アメリカ合衆国)
    • Year and Date
      2011-11-15
    • Related Report
      2009 Final Research Report
  • [Presentation] 相対論的に無矛盾な散逸流体の摂動論:完全流体が0次の散逸による摂動展開2011

    • Author(s)
      斉田浩見
    • Organizer
      日本物理学会 第66回年次大会
    • Place of Presentation
      新潟大学(新潟県)
    • Year and Date
      2011-03-25
    • Related Report
      2009 Annual Research Report
  • [Presentation] Causal Dissipative Hydrodynamics : analytically and numerically manage able formulation beyond Israel-Stewart formalism2011

    • Author(s)
      斉田浩見
    • Organizer
      日本天文学会 2011年春季年会
    • Place of Presentation
      筑波大学(茨城県)
    • Year and Date
      2011-03-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] 因果的に無矛盾な散逸流体の現象論:解析・数値的に扱いやすそうなEITの簡単化2011

    • Author(s)
      斉田浩見
    • Organizer
      第4回ブラックホール磁気圏研究会
    • Place of Presentation
      大同大学
    • Year and Date
      2011-03-11
    • Related Report
      2009 Final Research Report
  • [Presentation] 一般相対論的な散逸流体理論:アルファ粘性を超える散逸の現象論2011

    • Author(s)
      斉田浩見
    • Organizer
      国立天文台研究集会2011:銀河中心SgrA*の観測的ブラックホール時空研究
    • Place of Presentation
      東京大学
    • Year and Date
      2011-03-08
    • Related Report
      2009 Final Research Report
  • [Presentation] 一般相対論的な散逸流体理論:アルファ粘性を超える散逸の現象論2011

    • Author(s)
      斉田浩見
    • Organizer
      国立天文台研究集会2011:銀河中心SgrA^*の観測的ブラックホール時空研究
    • Place of Presentation
      東京大学(東京都)
    • Year and Date
      2011-03-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] 因果的に無矛盾な散逸流体の現象論:解析・数値的に扱い易そうなEITの簡単化2011

    • Author(s)
      斉田浩見
    • Organizer
      第4回ブラックホール磁気圏研究会
    • Place of Presentation
      大同大学(愛知県)
    • Year and Date
      2011-03-01
    • Related Report
      2009 Annual Research Report
  • [Presentation] 相対論的流体の散逸による摂動展開:解析・数値的に扱い易そうなEITの簡単化2011

    • Author(s)
      斉田浩見
    • Organizer
      第12回 特異点研究会
    • Place of Presentation
      神奈川工科大学(神奈川県)
    • Year and Date
      2011-01-09
    • Related Report
      2009 Annual Research Report
  • [Presentation] General Relativistic Dissipation in Accretion Flow onto Black Hole---to ward full GR modeling of BH accretion---2010

    • Author(s)
      斉田浩見
    • Organizer
      JSI workshop : The Ins and Outs of Black Holes
    • Place of Presentation
      Loews Annapolis Hotel(メリーランド州,アメリカ)
    • Year and Date
      2010-11-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] Schwarzschild BHへの因果的に無矛盾な散逸流2010

    • Author(s)
      斉田浩見
    • Organizer
      日本物理学会2010年秋季大会(素・核・宇宙分野)
    • Place of Presentation
      九州工業大学(福岡県)
    • Year and Date
      2010-09-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] シンポジウム「一般相対論の直接検証:BHシャドーの直接撮像と重力波の検出」はじめに2010

    • Author(s)
      斉田浩見
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-21
    • Related Report
      2009 Final Research Report
  • [Presentation] シンポジウム「一般相対論の直接検証:ブラックホールシャドーの直接撮像と重力波の検出」はじめに2010

    • Author(s)
      斉田浩見
    • Organizer
      日本物理学会 第65回年次大会
    • Place of Presentation
      岡山大学(岡山県)
    • Year and Date
      2010-03-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] 輻射の非平衡物理2010

    • Author(s)
      斉田浩見
    • Organizer
      第3回ブラックホール磁気圏研究会
    • Place of Presentation
      大阪市立大学(大阪府)
    • Year and Date
      2010-03-02
    • Related Report
      2009 Annual Research Report
  • [Presentation] Relativistic Dissipative Accretion Flow around BH based on EIT---theorems and implications---2010

    • Author(s)
      斉田浩見、高橋労太、長倉洋樹
    • Organizer
      Probing Strong Gravity near Black Holes
    • Place of Presentation
      Charles University(プラハ市、チェコ)
    • Year and Date
      2010-02-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] 相対論的な散逸を含んだブラックホール降着流:定理とその示唆2010

    • Author(s)
      斉田浩見、高橋労太、長倉洋樹
    • Organizer
      第11回 特異点研究会
    • Place of Presentation
      芝浦工業大学 豊洲キャンパス(東京都)
    • Year and Date
      2010-01-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] Relativistic Dissipative Accretion Flow onto Black Hole2009

    • Author(s)
      斉田浩見, 高橋労太, 長倉洋樹
    • Organizer
      The 19th workshop on General Relativity and Gravitation, Japan
    • Place of Presentation
      立教大学
    • Year and Date
      2009-12-03
    • Related Report
      2009 Final Research Report
  • [Presentation] Relativistic Dissipative Accretion Flow onto Black Hole2009

    • Author(s)
      斉田浩見、高橋労太、長倉洋樹
    • Organizer
      The 19th workshop on General Relativity and Gravitation in Japan
    • Place of Presentation
      立教大学(東京都)
    • Year and Date
      2009-12-03
    • Related Report
      2009 Annual Research Report
  • [Presentation] 散逸流体とブラックホール降着流:EITに基づく定理とその示唆2009

    • Author(s)
      斉田浩見、高橋労太、長倉洋樹
    • Organizer
      宇宙磁気流体力学のフロンティア
    • Place of Presentation
      京都大学(京都府)
    • Year and Date
      2009-11-17
    • Related Report
      2009 Annual Research Report
  • [Presentation] 相対論的な散逸流体とブラックホール降着流:なんとかしてBHをみたい2009

    • Author(s)
      斉田浩見、高橋労太、長倉洋樹
    • Organizer
      アインシュタインの物理でリンクする研究・教育拠点研究会
    • Place of Presentation
      大阪市立大学(大阪府)
    • Year and Date
      2009-10-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] Relativistic Causal Dissipative Plasma in Accretion Disc2009

    • Author(s)
      斉田浩見、高橋労太、長倉洋樹
    • Organizer
      日本物理学会2009年秋季大会(物性分野)
    • Place of Presentation
      熊本大学(熊本県)
    • Year and Date
      2009-09-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] General Relativistic Dissipative Hydrodynamics and Accretion Flow2009

    • Author(s)
      斉田浩見、高橋労太、長倉洋樹
    • Organizer
      日本天文学会2009年秋季年会
    • Place of Presentation
      山口大学(山口県)
    • Year and Date
      2009-09-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] Relativistic Dissipative Hydrodynamics and Accretion Disc2009

    • Author(s)
      斉田浩見
    • Organizer
      日本物理学会2009年秋季大会(素核宇宙分野)
    • Place of Presentation
      甲南大学
    • Year and Date
      2009-09-12
    • Related Report
      2009 Final Research Report
  • [Presentation] Relativistic Dissipative Hydrodynamics and Accretion Disc2009

    • Author(s)
      斉田浩見
    • Organizer
      日本物理学会2009年秋季大会(素・核・宇宙分野)
    • Place of Presentation
      甲南大学(兵庫県)
    • Year and Date
      2009-09-12
    • Related Report
      2009 Annual Research Report
  • [Presentation] AdSブラックホールの特異な熱力学的性質と重力摂動2009

    • Author(s)
      斉田浩見, 浦野美保, 冨松彰
    • Organizer
      日本物理学会第64回年次大会
    • Place of Presentation
      立教大学
    • Year and Date
      2009-03-29
    • Related Report
      2009 Final Research Report
  • [Presentation] AdSブラックホールの特黒な熱力学的性質と重力摂動2009

    • Author(s)
      斉田浩見、浦野美保、冨松彰
    • Organizer
      日本物理学会第64回年次大会
    • Place of Presentation
      立教大学(東京・豊島区)
    • Year and Date
      2009-03-29
    • Related Report
      2008 Annual Research Report
  • [Presentation] 相対論的な非平衡流体力学2009

    • Author(s)
      斉田浩見
    • Organizer
      第2回ブラックホール磁気圏研究会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2009-02-22
    • Related Report
      2009 Final Research Report
  • [Presentation] 相対論的な非平衡流体力学2009

    • Author(s)
      斉田浩見
    • Organizer
      第2回ブラックホール磁気圏勉強会
    • Place of Presentation
      名古屋大学(名古屋市)
    • Year and Date
      2009-02-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] To what extent is the entropy-area law universal ?2009

    • Author(s)
      斉田浩見
    • Organizer
      APCTP-NCTS International Workshop on Gravitation and Cosmology
    • Place of Presentation
      浦項工科大学(浦項市,韓国)
    • Year and Date
      2009-01-18
    • Related Report
      2009 Final Research Report
  • [Presentation] To what extent is the entropy-area law universal?2009

    • Author(s)
      斉田浩見
    • Organizer
      APCTP-NCTS International Workshop on Gravitation and Cosmology
    • Place of Presentation
      浦項工科大学(韓国・浦項市)
    • Year and Date
      2009-01-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] To what extent is the entropy-area law universal ?2009

    • Author(s)
      斉田浩見
    • Organizer
      第10回特異点研究会「特異点と時空および関連する物理」
    • Place of Presentation
      高エネルギー加速器研究機構
    • Year and Date
      2009-01-10
    • Related Report
      2009 Final Research Report
  • [Presentation] To what extent is the entropy-area law universal?2009

    • Author(s)
      斉田浩見
    • Organizer
      第10回特異点研究会『特異点と時空、および関連する物理』
    • Place of Presentation
      高エネルギー加速器研究機構(つくば市)
    • Year and Date
      2009-01-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] Does the Entropy-Area law hold for Schwarzschild-de Sitter spacetime?2008

    • Author(s)
      斉田浩見
    • Organizer
      The 18th Workshop on General Relativity and Gravitation
    • Place of Presentation
      広島大学(東広島市)
    • Year and Date
      2008-11-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] Schwarzschild-de Sitter 時空の有効温度2008

    • Author(s)
      浦野美保, 冨松彰, 斉田浩見
    • Organizer
      日本物理学会2008年秋季大会(素核宇宙分野)
    • Place of Presentation
      山形大学
    • Year and Date
      2008-09-23
    • Related Report
      2009 Final Research Report
  • [Presentation] Schwarzschild-de Sitter Thermodynamics with Minimal Set of Assumptions2008

    • Author(s)
      斉田浩見
    • Organizer
      日本物理学会2008年秋季大会(素核宇宙分野)
    • Place of Presentation
      山形大学
    • Year and Date
      2008-09-23
    • Related Report
      2009 Final Research Report
  • [Presentation] Schwarzschild-de Sitter Thermodynamics with Minimal Set of Assumptions2008

    • Author(s)
      斉田浩見
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      山形大学(山形市)
    • Year and Date
      2008-09-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] Schwarzschid-de Sitter時空の有効温度2008

    • Author(s)
      浦野美保、冨松彰、斉田浩見
    • Organizer
      日本物理学会2008年秋季大会
    • Place of Presentation
      山形大学(山形市)
    • Year and Date
      2008-09-23
    • Related Report
      2008 Annual Research Report
  • [Presentation] Acoustic Black Hole in Plasma Flow. Theory : Observation of a classical analog of Hawking Radiation2008

    • Author(s)
      南部保貞, 岩山博之, 庄司多津男, 斉田浩見
    • Organizer
      International Congress on Plasma Physics 2008
    • Place of Presentation
      福岡国際会議場
    • Year and Date
      2008-09-09
    • Related Report
      2009 Final Research Report
  • [Presentation] Acoustic Black Hole in Plasma Flow-Theory : Observation of a classical analogue to the Hawking radiation2008

    • Author(s)
      南部安貞、岩山博之、庄司多津男、斉田浩見
    • Organizer
      International Congress on Plasma Physics 2008
    • Place of Presentation
      福岡国際会議場(福岡市)
    • Year and Date
      2008-09-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] Breakdown of Bekenstein-Hawking Law for Black Hole and Cosmological Event Horizons2008

    • Author(s)
      斉田 浩見
    • Organizer
      日本物理学会 第63回年次大会
    • Place of Presentation
      近畿大学(東大阪市)
    • Year and Date
      2008-03-25
    • Related Report
      2007 Annual Research Report
  • [Presentation] Steady State Thermodynamic Approach to Schwarzschild-de Sitter Spacetime2008

    • Author(s)
      斉田浩見
    • Organizer
      第9回特異点研究会「特異点と時空および関連する物理」
    • Place of Presentation
      立教大学
    • Year and Date
      2008-01-13
    • Related Report
      2009 Final Research Report
  • [Presentation] Steady State Thermodynamic Approach to Schwarzschild-de Sitter spacetime2008

    • Author(s)
      斉田 浩見
    • Organizer
      第9回 特異点研究会
    • Place of Presentation
      立教大学(東京・豊島区)
    • Year and Date
      2008-01-13
    • Related Report
      2007 Annual Research Report
  • [Presentation] Black Hole Evaporation as a Nonequilibrium Process2007

    • Author(s)
      斉田浩見
    • Organizer
      APCTP Jeju Meeting on Gravitation and Cosmology
    • Place of Presentation
      Gallery House(済州島,韓国)
    • Year and Date
      2007-10-19
    • Related Report
      2009 Final Research Report
  • [Presentation] Black hole evaporation as a non-equilibrium process(招待講演)2007

    • Author(s)
      斉田 浩見
    • Organizer
      APCTP Jeju Meeting
    • Place of Presentation
      Gallery House
    • Year and Date
      2007-10-19
    • Related Report
      2007 Annual Research Report
  • [Presentation] Black hole evaporation in an expanding universe(招待講演)2007

    • Author(s)
      斉田 浩見
    • Organizer
      Korean Physical Society Meeting, International Session
    • Place of Presentation
      International Convention Center(韓国・済州島)
    • Year and Date
      2007-10-18
    • Related Report
      2007 Annual Research Report
  • [Presentation] Black hole evaporation in an expanding universe II2007

    • Author(s)
      斉田 浩見
    • Organizer
      日本物理学会 第62回年次大会
    • Place of Presentation
      北海道大学(札幌市)
    • Year and Date
      2007-09-22
    • Related Report
      2007 Annual Research Report
  • [Presentation] Black Hole Evaporation as a Nonequilibrium Process2007

    • Author(s)
      斉田浩見
    • Organizer
      2nd Dynamics and Thermodynamics of Blackholes and Naked Singularities
    • Place of Presentation
      Politecnico de Milano(ミラノ市,イタリア)
    • Year and Date
      2007-05-10
    • Related Report
      2009 Final Research Report
  • [Presentation] Black hole evaporation as a non-equilibrium process2007

    • Author(s)
      斉田 浩見
    • Organizer
      2nd Dynamics and Thermodynamics of Blackholes and Naked Singularities
    • Place of Presentation
      Politecnico de Milano(イタリア・ミラノ市)
    • Year and Date
      2007-05-10
    • Related Report
      2007 Annual Research Report
  • [Book] Extended Irreversible Thermodynamics in the Presence of Strong Gravity (Invited contribution to, Thermodynamics, edited by J.C.Moreno-Pirajan)(斉田担当分)2011

    • Author(s)
      Hiromi Saida
    • Total Pages
      26
    • Publisher
      InTech Open Publisher
    • Related Report
      2009 Final Research Report
  • [Book] Limit of Universality of Entropy-Area Law for Multi-horizon Spacetimes (Invited contribution to, Classical and Quantum Gravity : Theory, Analysis and Application, edited by V.R.Frignanni)(斉田担当分)2011

    • Author(s)
      Hiromi Saida
    • Total Pages
      56
    • Publisher
      Nova Science Publisher
    • Related Report
      2009 Final Research Report
  • [Book] Extended Irreversible Thermodynamics in the Presence of Strong Gravity (Invited contribution to book, "Thermodynamics", edited by J.C.Moreno-Pirajan)2011

    • Author(s)
      斉田浩見
    • Total Pages
      26
    • Publisher
      InTech Open Access Publisher
    • Related Report
      2009 Annual Research Report
  • [Book] Limit of Universality of Entropy-Area Law for Multi-horizon Spacetimes (Invited contribution to book, "Classical and Quantum Gravity : Theory,Analysis and Applications", edited by V.R.Frignanni)2011

    • Author(s)
      斉田浩見
    • Total Pages
      56
    • Publisher
      Nova Science Publisher
    • Related Report
      2009 Annual Research Report
  • [Book] Black Hole Evaporation as a Nonequilibrium Process (Invited contribution to, Classical and Quantum Gravity Research, edited by M.N.Christiansen and T.K.Rasmussen)(斉田担当分)2008

    • Author(s)
      Hiromi Saida
    • Total Pages
      52
    • Publisher
      Nova Science Publisher
    • Related Report
      2009 Final Research Report
  • [Book] Classical and Quantum Gravity Research2008

    • Author(s)
      M. N. Christiansen, T. K. Rasmussen, 斉田浩見, 他
    • Publisher
      Nova Science Publisher (New York)
    • Related Report
      2008 Annual Research Report
  • [Remarks] ホームページ等

    • URL

      http://www.phyas.aichiedu.ac.jp/~takahasi/BHmag2010/

    • Related Report
      2009 Final Research Report
  • [Remarks]

    • URL

      http://www.phyas.aichiedu.ac.jp/~takahasi/SgrA2011/Site/Welcome.html

    • Related Report
      2009 Final Research Report
  • [Remarks]

    • URL

      http://www.phyas.aichi-edu.ac.jp/~takahasi/GR_BH/

    • Related Report
      2009 Final Research Report
  • [Remarks]

    • URL

      http://www2.rikkyo.ac.jp/web/jgrg19/index.html

    • Related Report
      2009 Final Research Report
  • [Remarks]

    • URL

      http://www.phyas.aichi-edu.ac.jp/~takahasi/BHmag2010

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www.phyas.aichi-edu.ac.jp/~takahasi/SgrA2011/Site/Welcome.html

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www.phyas.aichi-edu.ac.jp/~takahasi/GR_BH/

    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

      http://www2.rikkyo.ac.jp/web/jgrg19/index.html

    • Related Report
      2009 Annual Research Report

URL: 

Published: 2007-04-01   Modified: 2016-04-21  

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