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人类科学中现有经典极限论的终结(I) 被引量:15
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作者 欧阳耿 《喀什师范学院学报》 2006年第6期29-34,共6页
深入分析了现有经典极限论中的两个重大缺陷及其对于数论研究、级数理论研究和第二次数学危机研究的影响.得到了“是经典无穷观的本质性缺陷导致了经典极限论中完全相同的本质性缺陷;以经典无穷理论体系及相关数谱为基础的现有极限论根... 深入分析了现有经典极限论中的两个重大缺陷及其对于数论研究、级数理论研究和第二次数学危机研究的影响.得到了“是经典无穷观的本质性缺陷导致了经典极限论中完全相同的本质性缺陷;以经典无穷理论体系及相关数谱为基础的现有极限论根本就没有能力解决现有人类科学中与‘无穷小’、‘无穷大’概念相关的所有悖论与数学难题”的结论.介绍了经典极限论的本质性缺陷,宣告经典极限论的终结. 展开更多
关键词 基础理论学 经典无穷观 经典极限论 无穷小 芝诺悖论 第二次数学危机 实数论 调和级数悖论
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Quantization of black hole entropy from unstable circular null geodesics
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作者 Shao-Wen Wei Yu-Xiao Liu Chun-E Fu 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2016年第4期29-36,共8页
The quasinormal mode frequencies can be understood from the massless particles trapped at the unstable circular null geodesics and slowly leaking out to infinity. Based on this viewpoint, in this paper, we semiclassic... The quasinormal mode frequencies can be understood from the massless particles trapped at the unstable circular null geodesics and slowly leaking out to infinity. Based on this viewpoint, in this paper, we semiclassically construct the entropy spectrum of the static and stationary black holes from the null geodesics. The result shows that the spacing of the entropy spectrum only depends on the property of the black hole in the eikonal limit. Moreover, for a black hole far from the extremal case, the spacing is found to be smaller than 2π for any dimension, which is very different from the result of the previous work by using the usual quasinormal mode frequencies. 展开更多
关键词 black hole entropy spectrum null geodesics quantization
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