本文選題：引力 + 衍生現(xiàn)象�。� 參考：《南昌大學》2012年碩士論文

【摘要】：通過彎曲時空的場論,人們發(fā)現(xiàn)黑洞以及其他時空模型等都有熱力學效應�；跁r空的熱力學性質(zhì),我們相信時空與其他物質(zhì)一樣也有著其內(nèi)部微觀結(jié)構(gòu)。在此基礎(chǔ)上,一些物理學家認為現(xiàn)在所用來描述時空的引力理論可能只是一種宏觀衍生現(xiàn)象。其中,Verlinde的熵力假說不僅將引力視為衍生宏觀現(xiàn)象,而且解釋了引力的起源是來自全息屏上的熵變。在本文中,為了得到可以被預言的新引力現(xiàn)象,我們討論了一些在傳統(tǒng)的純引力理論中沒有涉及的問題,例如引力漲落效應。 第一章里,我們簡要介紹研究背景和意義、回顧了歷史上我們對引力本質(zhì)認識的發(fā)展情況、以及時空與熱力學的關(guān)系,并提出了自己的一些理解,從而為引力是衍生現(xiàn)象的觀點做了鋪墊。 在第二章中,我們具體分析了一些衍生引力的觀點,并給出了一些具體的數(shù)學推導。其中主要介紹如何從熱力學的角度去認識時空與引力,并著重分析了全息原理帶給我們的啟發(fā)以及Verlinde的熵力假說,而且也分析了熵力所存在的一些缺陷,并提出了一些解決這些缺陷的具體思路。 第三章中,我們通過修正能量均分定理得到修正的牛頓引力定律。在本章中,主要基于固體物理,將時空與彈性固體作類比去修正熵力,從而推導出修正的牛頓引力定律。同時我們分析了修正項所帶來的影響,并指出修正項本身的物理意義正是反映了時空的漲落。 第四章的內(nèi)容則進一步將熵力以及由此得到的漲落現(xiàn)象應用到宇宙學中,得到了修正的Friedmann方程。而修正項恰好同宇宙學常數(shù)一樣為真空能量密度,而且形式上與通過場論得到的ρ0-hωp4相一致,由此,我們相信宇宙學常數(shù)很有可能反映的是時空的漲落。 最后是總結(jié)全文并做了展望
[Abstract]:Based on the field theory of curved spacetime, it is found that black holes and other space-time models have thermodynamic effects. Based on the thermodynamic properties of space-time, we believe that space-time, like other matter, has its internal microstructure. On this basis, some physicists believe that the theory of gravity, which is used to describe spacetime, may be just a macroscopic derivative phenomenon. Verlinde's entropy force hypothesis not only regards gravity as a derivative macroscopic phenomenon, but also explains that the origin of gravity comes from entropy change on holographic screen. In this paper, in order to obtain the new gravitational phenomena which can be predicted, we discuss some problems, such as gravitational fluctuation effect, which are not dealt with in the traditional pure gravity theory. In the first chapter, we briefly introduce the research background and significance, review the history of our understanding of the nature of gravity, as well as the relationship between space-time and thermodynamics, and put forward our own understanding. Thus, the idea that gravity is a derivative phenomenon is laid the groundwork. In the second chapter, we analyze some ideas of derivative gravity and give some mathematical derivation. It mainly introduces how to understand space-time and gravity from the point of view of thermodynamics, and emphatically analyzes the inspiration of holographic principle and Verlinde's entropy force hypothesis, and also analyzes some defects of entropy force. And put forward some concrete ideas to solve these defects. In the third chapter, we get the modified Newton's law of gravitation by modifying the theorem of energy equalization. In this chapter, the modified Newtonian law of gravity is derived by comparing space-time with elastic solids to modify entropy force based on solid physics. At the same time, we analyze the influence of the correction term, and point out that the physical meaning of the modified term itself reflects the fluctuation of space-time. In the fourth chapter, the entropy force and its fluctuation are further applied to cosmology, and the modified Friedmann equation is obtained. The modified term is exactly the same as the cosmological constant as the vacuum energy density, and the form is consistent with the 蟻 0-h 蠅 p4 obtained from the field theory. Therefore, we believe that the cosmological constant probably reflects the fluctuation of space-time. Finally, it summarizes the full text and makes a prospect.
【學位授予單位】：南昌大學
【學位級別】：碩士
【學位授予年份】：2012
【分類號】：P131

【參考文獻】

相關(guān)期刊論文 前1條

1 ;f(R) gravity and Maxwell equations from the holographic principle[J];Science China(Physics,Mechanics & Astronomy);2012年03期

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本文編號：1964167