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arXiv 0905.4643gr-qccond-mat.soft
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物质形式和辐射形式

Forms of matter and forms of radiation

Maurice Kleman

摘要:

有序和无序介质中的缺陷理论是凝聚态物理的重要组成部分。在这个领域发展的概念也出现在时空奇点的研究中,即:i)-量子化缺陷的拓扑理论(基布尔的宇宙弦)和ii)-连续缺陷的沃尔泰拉过程,用于分类庞加莱对称性破缺。我们重新评估分类闵可夫斯基时空缺陷在同一理论框架,从猜想开始,这些缺陷分为两类,因为它们涉及到大质量粒子或辐射。这一点我们可以用哈勃膨胀的经验证据来证明。我们引入了被视为有序介质的测地线的类时同余和零同余,即有质量粒子的“m”-晶体和无质量粒子的“r”-晶体,它们在M^4中具有平行的4-动量。分类它们的缺陷(或“形式”),我们发现(i)“m”和“r”-Volterra连续线缺陷和(ii)量化拓扑稳定的“r”-缺陷,这些后一种形式是不同的维度。除了这些“完美”的形式,还有“不完美”的向错,在三维空间中约束着定向误差壁。我们还推测了这些形式与宇宙大尺度结构的可能关系。

英文摘要:

The theory of defects in ordered and ill-ordered media is a well-advanced part of condensed matter physics. Concepts developed in this field also occur in the study of spacetime singularities, namely: i)- the topological theory of quantized defects (Kibble's cosmic strings) and ii)- the Volterra process for continuous defects, used to classify the Poincaré symmetry breakings. We reassess the classification of Minkowski spacetime defects in the same theoretical frame, starting from the conjecture that these defects fall into two classes, as on they relate to massive particles or to radiation. This we justify on the empirical evidence of the Hubble's expansion. We introduce timelike and null congruences of geodesics treated as ordered media, viz. 'm'-crystals of massive particles and 'r'-crystals of massless particles, with parallel 4-momenta in M^4. Classifying their defects (or 'forms') we find (i) 'm'- and 'r'- Volterra continuous line defects and (ii) quantized topologically stable 'r'-defects, these latter forms being of various dimensionalities. Besides these 'perfect' forms, there are 'imperfect' disclinations that bound misorientation walls in three dimensions. We also speculate on the possible relation of these forms with the large-scale structure of the Universe.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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