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研究生: 林婉姝
Lin, Wan-Shu
論文名稱: 探究熵力宇宙學的基本性質
Exploring the essential property of entropic cosmology
指導教授: 李沃龍
Lee, Wolung
口試委員: 李沃龍
Lee, Wolung
吳建宏
Ng, Kin-Wang
齊祖康
Chyi, Tzuu-Kang
口試日期: 2024/03/27
學位類別: 碩士
Master
系所名稱: 物理學系
Department of Physics
論文出版年: 2024
畢業學年度: 112
語文別: 英文
論文頁數: 28
英文關鍵詞: Accelerating expansion, entropic force model, constant parameter equation of state, phantom, Hubble constant problem
DOI URL: http://doi.org/10.6345/NTNU202400482
論文種類: 學術論文
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  • To explain the accelerating expansion of the universe, the entropic force, assumingly arises from the surface term in the Einstein-Hilbert’s action, has become another interpretation of driving force for the acceleration.
    Among many different approaches, we propose to adopt the entropic force model(EFM) with a constant parameter equation of state wx which equals to-1+2γ/3, where γ is related to the coefficients of the new terms in the modified Friedmann equations.
    The model was evaluated by constraining with the observational data. We discovered the parameter exhibits remarkable fit with the data which leans toward the phantom nature i.e. wx < −1. At the same time, for Hubble constant problem (Hubble tension), it appears to support the local distance measurement rather than the cosmic microwave background(CMB) data.

    1 Introduction 1 1.1 An accelerating universe 1 1.2 The basic cosmological equations 1 1.2.1 The Friedmann equations 1 1.2.2 The equation of state (EOS) 2 1.2.3 Deceleration parameter q 2 1.2.4 Hubble parameter 2 1.3 Entropy as a driving force for the accelerating universe 3 1.4 Modified Friedmann equations for entropic force model 4 1.5 Current research in entropic cosmology 4 1.5.1 4 1.5.2 The entropic force model with a constant equation of state parameter wx = −1 + 2γ/3 5 1.6 Hubble tension 6 2 Compare with observational data 6 2.1 The deceleration parameter 8 2.2 Angular scale θ 9 2.2.1 To fix the H0 and evaluate the range of Ωm,0 of Planck 2018 data 11 2.2.2 To fix the Ωm,0 and find the range of H0 16 2.3 Chi Square 18 2.3.1 Hubble parameter 18 2.3.2 Local distance measurements 19 2.4 Luminosity distance 21 3 Summary and discussion 22 3.1 Entropic force model 22 3.2 Hubble tension 22 3.3 Discussion 23 Bibliography 27

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