Unification of Dark Matter and Dark Energy in a Modified Entropic Force Model

Unification of Dark Matter and Dark Energy in a Modified Entropic Force Model
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修正熵力模型中暗物质和暗能量的统一

DOI:
10.1088/0253-6102/56/1/32
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发表时间:
2010-09
影响因子:
3.1
通讯作者:
Li Xin
Li Xin
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Chang Zhe;Li Ming-Hua;Li Xin

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在Verlinde的重力熵情景中,牛顿定律和爱因斯坦方程可以从第一原理和一般假设中得到。然而,能量均分定律在极低温度下是无效的。我们清楚地表明,能量均分定律的阈值与宇宙的视界有关。因此,在修正熵力(MEF)半径方向上的一维德拜(ODD)模型可能适合于描述加速膨胀的宇宙。我们提出了一个在ODD-MEF框架下的Friedmann宇宙动力学模型。我们仔细研究了超新星宇宙学计划(SCP)合作项目Union2编集、大尺度结构(LSS)和宇宙微波背景(CMB)观测数据对ODD-MEF模型的约束,即超新星Ia+LSS+CMB。结合数值分析得到模型参数zeta近似等于10(-9),Omega(m0) = 0.224, chi(2)(min) = 591.156的最佳拟合值。宇宙的相应年龄与D. Spergel等人的结果一致巴丁,B.卡特和S.W.霍金,共同。数学。Phys. 31(1973)[161], 95%置信水平。数值结果还得出了一个加速膨胀的宇宙,而不需要任何暗能量。以zeta(2 pi omega(D)/H-0)作为与结构尺度r相关的运行参数,得到了Verlinde熵力框架下螺旋星系径向速度色散、加速膨胀宇宙和Pioneer 10/11异常渐近平坦化的可能统一情景。
In Verlinde's entropic force scenario of gravity, Newton's laws and Einstein equations can be obtained from the first principles and general assumptions. However, the equipartition law of energy is invalid at very low temperatures. We show clearly that the threshold of the equipartition law of energy is related with horizon of the universe. Thus, a one-dimensional Debye (ODD) model in the direction of radius of the modified entropic force (MEF) may be suitable in description of the accelerated expanding universe. We present a Friedmann cosmic dynamical model in the ODD-MEF framework. We examine carefully constraints on the ODD-MEF model from the Union2 compilation of the Supernova Cosmology Project (SCP) collaboration, the data from the observation of the large-scale structure (LSS) and the cosmic microwave background (CMB), i.e. SNe Ia+LSS+CMB. The combined numerical analysis gives the best-fit value of the model parameters zeta similar or equal to 10(-9) and Omega(m0) = 0.224, with chi(2)(min) = 591.156. The corresponding age of the universe agrees with the result of D. Spergel et al. [J.M. Bardeen, B. Carter, and S.W. Hawking, Commun. Math. Phys. 31 (1973) 161] at 95% confidence level. The numerical result also yields an accelerated expanding universe without invoking any kind of dark energy. Taking zeta( 2 pi omega(D)/H-0) as a running parameter associated with the structure scale r, we obtain a possible unified scenario of the asymptotic flatness of the radial velocity dispersion of spiral galaxies, the accelerated expanding universe and the Pioneer 10/11 anomaly in the entropic force framework of Verlinde.
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