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Cosmological model from the holographic equipartition law with a nonadditive entropy

Research Project

Project/Area Number 18K03613
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
Research InstitutionKanazawa University

Principal Investigator

KOMATSU Nobuyoshi  金沢大学, 機械工学系, 准教授 (20436827)

Project Period (FY) 2018-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2020: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2019: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywords加速膨張宇宙 / 宇宙論 / ホログラフィー原理 / エントロピー / 宇宙項 / ホログラフィー
Outline of Final Research Achievements

A cosmological model is derived from the holographic equipartition law with a nonadditive entropy, in order to understand an accelerated expansion of the late universe from viewpoints of thermodynamics and statistical mechanics. The second law of thermodynamics should constrain the upper limit of an extra driving term of the acceleration equation in the present model. The upper limit implies that the order of the driving term is likely consistent with the order of the cosmological constant measured by observations.
In addition, a power-law term is applied to the present model, in order to systematically examine dissipative and nondissipative universes from a thermodynamics viewpoint. Consequently, a nondissipative model is found to be consistent with observations and satisfy the thermodynamic constraints related to the maximization of entropy. This result shows that the nondissipative universe is likely favored.

Academic Significance and Societal Importance of the Research Achievements

宇宙の加速膨張を説明するため,「ダークエネルギーを仮定した宇宙論モデル」が,標準モデルとして提案されている。しかし,標準モデルは,観測データと合うようにダークエネルギーの密度パラメータをチューニングする。本研究では,熱力学的な視点から,加速膨張宇宙のメカニズムを解明するため,新しい宇宙論モデルを構築し,このモデルの熱力学的制約条件を導出した。その結果,加速膨張に寄与する‘加速度方程式の駆動項’(ダークエネルギーに相当)の上限値は熱力学的に制約され,その上限値は観測データとほぼ一致することが判明した。加速膨張宇宙のメカニズムを理解する上で,熱力学的アプローチが重要な役割を果たすことが示された。

Report

(4 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (13 results)

All 2021 2020 2019 2018 Other

All Journal Article (4 results) (of which Peer Reviewed: 4 results,  Open Access: 2 results) Presentation (3 results) Remarks (6 results)

  • [Journal Article] Evolution of dissipative and nondissipative universes in holographic cosmological models with a power-law term2021

    • Author(s)
      Komatsu Nobuyoshi
    • Journal Title

      Physical Review D

      Volume: 103 Issue: 2 Pages: 1-17

    • DOI

      10.1103/physrevd.103.023534

    • NAID

      120006953891

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Entropy production due to adiabatic particle creation in a holographic dissipative cosmology2020

    • Author(s)
      Komatsu Nobuyoshi
    • Journal Title

      Physical Review D

      Volume: 102 Issue: 6 Pages: 1-15

    • DOI

      10.1103/physrevd.102.063512

    • NAID

      120006886189

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Horizon thermodynamics in holographic cosmological models with a power-law term2019

    • Author(s)
      Komatsu Nobuyoshi
    • Journal Title

      Physical Review D

      Volume: 100 Issue: 12 Pages: 1-16

    • DOI

      10.1103/physrevd.100.123545

    • NAID

      120006780296

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Generalized thermodynamic constraints on holographic-principle-based cosmological scenarios2019

    • Author(s)
      Nobuyoshi Komatsu
    • Journal Title

      Physical Review D

      Volume: 99 Issue: 4

    • DOI

      10.1103/physrevd.99.043523

    • NAID

      120006599735

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] ホログラフィー宇宙論モデルの熱力学2020

    • Author(s)
      小松信義
    • Organizer
      日本物理学会 第75回年次大会(2020年),名古屋大学,(2020.3.19). (新型コロナウイルス感染拡大のため学会自体は中止となり,講演は成立という扱い。)
    • Related Report
      2019 Research-status Report
  • [Presentation] ホログラフィー等分配則に基づく宇宙論モデルの熱力学的制約2019

    • Author(s)
      小松信義
    • Organizer
      日本物理学会 第74回年次大会(2019年),九州大学 (2019.03.14).
    • Related Report
      2018 Research-status Report
  • [Presentation] ホログラフィー等分配則に基づく加速膨張宇宙モデル2018

    • Author(s)
      小松信義
    • Organizer
      非平衡系の物理学-階層性と普遍性-,基研研究会・iTHEMS研究会 2018,京都大学 (2018.12.27). [ポスター発表]
    • Related Report
      2018 Research-status Report
  • [Remarks] (1)金沢大学学術情報リポジトリKURA: Entropy production ...

    • URL

      https://kanazawa-u.repo.nii.ac.jp/?action=pages_view_main&active_action=repository_view_main_item_detail&item_id=53270&item_no=1&page_id=13&block_id=21

    • Related Report
      2020 Annual Research Report
  • [Remarks] (2)金沢大学学術情報リポジトリKURA: Evolution of dissipative ...

    • URL

      https://kanazawa-u.repo.nii.ac.jp/?action=pages_view_main&active_action=repository_view_main_item_detail&item_id=54080&item_no=1&page_id=13&block_id=21

    • Related Report
      2020 Annual Research Report
  • [Remarks] Holographic cosmological model and thermodynamics

    • URL

      https://www.eurekalert.org/pub_releases/2020-03/ku-hcm032520.php

    • Related Report
      2019 Research-status Report
  • [Remarks] Holographic cosmological model and thermodynamics

    • URL

      https://www.kanazawa-u.ac.jp/latest-research/77412

    • Related Report
      2019 Research-status Report
  • [Remarks] 宇宙の加速膨張を熱力学的な観点から説明するホログラフィー宇宙論モデルを提唱

    • URL

      https://www.kanazawa-u.ac.jp/rd/77551

    • Related Report
      2019 Research-status Report
  • [Remarks] ホログラフィー等分配則に基づく宇宙加速膨張の新モデル

    • URL

      http://o-fsi.w3.kanazawa-u.ac.jp/showcase/papers/archive.php

    • Related Report
      2019 Research-status Report

URL: 

Published: 2018-04-23   Modified: 2022-01-27  

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