本文選題：deSitter黑洞時(shí)空 + 統(tǒng)計(jì)熵　； 參考：《湖南科技大學(xué)》2011年碩士論文

【摘要】：自黑洞被廣義相對論預(yù)言以來,研究者們在理論及觀測上都做了大量的工作,試圖揭示黑洞的本質(zhì)及黑洞熵的統(tǒng)計(jì)起源。本文主要研究利用修正到Planck長度任意階的的態(tài)密度方程計(jì)算靜態(tài)黑洞時(shí)空的統(tǒng)計(jì)熵。 在第一章中,我們首先介紹黑洞的起源及其形成過程,接著介紹黑洞學(xué)的基本概念和基本理論,隨后討論黑洞熵的統(tǒng)計(jì)起源。在第二章中,我們對求解黑洞熵的兩種模型(磚墻模型和薄膜模型)進(jìn)行綜述,并介紹兩種模型的適用條件;再以Schwarzschild黑洞時(shí)空及靜態(tài)deSitter黑洞時(shí)空為例運(yùn)用此兩種模型求解標(biāo)量場的熵值,得出黑洞時(shí)空量子場的統(tǒng)計(jì)熵與其表面積成比例的結(jié)論;最后總結(jié)兩種模型的特點(diǎn)并分析在研究過程中所遇到的截?cái)嘁蜃蛹办氐陌l(fā)散問題。第三章主要介紹筆者自己的工作。首先介紹了位置與動(dòng)量的廣義測不準(zhǔn)關(guān)系,并由此得到位置的最小不確定度;再根據(jù)推廣的對易關(guān)系對相應(yīng)的微觀狀態(tài)態(tài)密度方程作出修正,運(yùn)用修正后的態(tài)密度方程得到的黑洞外物質(zhì)場的量子態(tài)數(shù)在視界處是收斂的;最后將修正到Planck長度任意階的態(tài)密度方程應(yīng)用到Schwarzschild-deSitter黑洞時(shí)空標(biāo)量場統(tǒng)計(jì)熵的計(jì)算及Reissner-Nordstrom黑洞時(shí)空Dirac場統(tǒng)計(jì)熵的計(jì)算中去。
[Abstract]:Since the black hole was predicted by general relativity, researchers have done a lot of work in theory and observation, trying to reveal the nature of black hole and the statistical origin of black hole entropy. In this paper, the statistical entropy of static black hole space-time is calculated by using the modified density of states equation with arbitrary order of Planck length. In the first chapter, we first introduce the origin and formation process of black hole, then introduce the basic concept and theory of black hole science, then discuss the statistical origin of black hole entropy. In the second chapter, we summarize the two models (brick wall model and thin film model) for solving black hole entropy, and introduce the applicable conditions of the two models. Then taking Schwarzschild black hole space-time and static deSitter black hole space-time as examples, the entropy of scalar field is solved by using these two models, and the conclusion that the statistical entropy of black hole space-time quantum field is proportional to its surface area is obtained. Finally, the characteristics of the two models are summarized and the problems of truncation factor and entropy divergence are analyzed. The third chapter mainly introduces the author's own work. Firstly, the generalized uncertainty relation between position and momentum is introduced, and the minimum uncertainty of position is obtained, and then the corresponding microcosmic state density equation is modified according to the generalized commutative relation. The number of quantum states in the field of matter outside the black hole obtained by the modified density of state equation is convergent at the horizon. Finally, the density of states equation modified to any order of Planck length is applied to calculate the statistical entropy of the scalar field of Schwarzschild-deSitter black hole and the statistical entropy of Dirac field of Reissner-Nordstrom black hole.
【學(xué)位授予單位】：湖南科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2011
【分類號(hào)】：P145.8

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 劉文彪,高長軍,趙崢;de Sitter時(shí)空背景下的熵[J];北京師范大學(xué)學(xué)報(bào)(自然科學(xué)版);2000年01期

2 史旺林,劉興業(yè),趙崢;Vaidya-Bonner-de Sitter(VBD)時(shí)空的熵[J];北京師范大學(xué)學(xué)報(bào)(自然科學(xué)版);2001年03期

3 景玲,周宙安,劉文彪;測不準(zhǔn)關(guān)系與Schwarzschild-de Sitter黑洞熵[J];北京師范大學(xué)學(xué)報(bào)(自然科學(xué)版);2003年05期

4 牛振風(fēng),李翔,趙崢;利用廣義不確定關(guān)系計(jì)算Vaidya-de Sitter黑洞的熵[J];北京師范大學(xué)學(xué)報(bào)(自然科學(xué)版);2003年06期

5 劉成周,周宙安,李翔,趙崢;廣義不確定原理對一般靜態(tài)黑洞熵的影響[J];北京師范大學(xué)學(xué)報(bào)(自然科學(xué)版);2004年04期

6 劉文彪,趙崢;非熱平衡Schwarzschild-de Sitter黑洞的熵[J];數(shù)學(xué)物理學(xué)報(bào);2003年02期

7 張子珍;張麗春;趙仁;;柱黑洞的熵[J];數(shù)學(xué)物理學(xué)報(bào);2005年S1期

8 張鎮(zhèn)九;黑洞物理[J];天文學(xué)進(jìn)展;1984年04期

9 劉文彪,朱建陽,趙崢;Nernst定理與Reissner-Nordstrom黑洞Dirac場的熵[J];物理學(xué)報(bào);2000年03期

10 李固強(qiáng);自旋場對Barriola-vilenkin黑洞熵的量子修正[J];物理學(xué)報(bào);2003年06期

相關(guān)博士學(xué)位論文 前2條

1 楊學(xué)軍;黑洞熱力學(xué)的相關(guān)研究及時(shí)空的Killing約化[D];北京師范大學(xué);2003年

2 劉文彪;用brick-wall方法計(jì)算黑洞熵及其相關(guān)問題的研究[D];北京師范大學(xué);2000年

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本文編號(hào)：1930034